A&A549,A59(2013) Astronomy DOI:10.1051/0004-6361/201219880 & (cid:13)c ESO2012 Astrophysics GOODS-Herschel: radio-excess signature of hidden AGN activity in distant star-forming galaxies(cid:63) A.DelMoro1,D.M.Alexander1,J.R.Mullaney1,2,E.Daddi2,M.Pannella2,F.E.Bauer3,4,A.Pope5,M.Dickinson6, D.Elbaz2,P.D.Barthel7,M.A.Garrett8,9,10,W.N.Brandt11,V.Charmandaris12,R.R.Chary13,K.Dasyra2,14, R.Gilli15,R.C.Hickox16,H.S.Hwang17,R.J.Ivison18,S.Juneau19,E.LeFloc’h2,B.Luo11,G.E.Morrison20, E.Rovilos1,15,M.T.Sargent2,andY.Q.Xue11,21 (Affiliationscanbefoundafterthereferences) Received25June2012/Accepted28September2012 ABSTRACT Context. A tight correlation exists between far-infrared and radio emission for star-forming galaxies (SFGs), which seems to hold out to high redshifts(z ≈ 2).Anyexcessofradioemissionoverthatexpectedfromstarformationprocessesismostlikelyproducedbyanactivegalactic nucleus(AGN),oftenhiddenbylargeamountsofdustandgas.Identifyingtheseradio-excesssourceswillallowustostudyapopulationofAGN unbiasedbyobscurationandthusfindsomeofthemostobscured,Compton-thickAGN,whichareinlargepartunidentifiedeveninthedeepest X-rayandinfrared(IR)surveys. Aims. We present here a new spectral energy distribution (SED) fitting approach that we adopt to select radio-excess sources amongst distant star-forminggalaxiesintheGOODS-Herschel(North)fieldandtorevealthepresenceofhidden,highlyobscuredAGN. Methods.ThroughextensiveSEDanalysisof458galaxieswithradio1.4GHzandmid-IR24µmdetectionsusingsomeofthedeepestChandra X-ray, Spitzer and Herschel infrared, and VLA radio data available to date, we have robustly identified a sample of 51 radio-excess AGN (∼1300deg−2)outto redshiftz ≈ 3.Theseradio-excess AGNhaveasignificantlylowerfar-IR/radioratio(q < 1.68,3σ)thanthe typicalre- lationobservedforstar-forminggalaxies(q≈2.2). Results.Wefindthat≈45%oftheseradio-excesssourceshaveadominantAGNcomponentinthemid-IRband,whilefortheremaindersthe excessradioemissionistheonlyindicatorofAGNactivity.ThepresenceofanAGNisalsoconfirmedbythedetectionofacompactradiocorein deepVLBI1.4GHzobservationsforeightofourradio-excesssources(≈16%;≈66%oftheVLBIdetectedsourcesinthisfield),withtheexcess radiofluxmeasuredfromourSEDanalysisagreeing,towithinafactoroftwo,withtheradiocoreemissionmeasuredbyVLBI.Wefindthat thefractionofradio-excessAGNincreaseswithX-rayluminosityreaching∼60%atL ≈1044−1045ergs−1,makingthesesourcesanimportant X part of the total AGN population. However, almost half (24/51) of these radio-excess AGN are not detected in the deep Chandra X-ray data, suggestingthatsomeofthesesourcesmightbeheavilyobscured.Amongsttheradio-excessAGNwecandistinguishthreegroupsofobjects:i) AGNclearlyidentifiedininfrared(andofteninX-rays),afractionofwhicharelikelytobedistantCompton-thickAGN;ii)moderateluminosity AGN(L (cid:46) 1043 ergs−1)hostedinstrongstar-forminggalaxies;andiii)asmallfractionoflowaccretion-rateAGNhostedinpassive(i.e.weak X ornostar-forming)galaxies.Wealsofindthatthespecificstarformationrates(sSFRs)oftheradio-excessAGNareonaveragelowerthatthose observedforX-rayselectedAGNhosts,indicatingthatoursourcesareformingstarsmoreslowlythantypicalAGNhosts,andpossiblytheirstar formationisprogressivelyquenching. Keywords.galaxies:active–quasars:general–infrared:galaxies–galaxies:starformation–X-rays:galaxies 1. Introduction inordertounderstandthenatureofthelinkbetweenSMBHand galaxies and their cosmic co-evolution. This paper aims to ex- The discovery of a strong correlation between the properties pandourknowledgeoftheAGNpopulation,byselectingobjects of galaxies and those of the supermassive black holes (SMBH) withradioemissioninexcessofthatexpectedfromstarforma- hostedintheircentres,suchastheM −M orM −σrela- BH bulge BH tion. As discussed below, this method selects many AGN that tions(Magorrianetal.1998;Ferrarese&Merritt2000;Gebhardt cannot be identified using other established techniques, and so etal.2000;Marconi&Hunt2003),haspointedoutthatSMBHs movesusclosertoacompletecensusofgrowingSMBHsinthe mustplayanimportantroleinthegrowthandevolutionofgalax- Universe. ies(seeAlexander&Hickox2012,forageneralreview).Inthe DeepX-raysurveyshaveprovedtobeaverypowerfultool past decades many studies have focussed on understanding the indetectingobscuredandunobscuredAGNdowntofaintfluxes relation between nuclear activity (AGN) and host galaxies and and to high redshifts (z ∼ 5; e.g. Alexander et al. 2001; Fiore haverevealedacommonhistory,wherebothstarformationand et al. 2003; Hasinger 2008; Brusa et al. 2009; Xue et al. 2011; blackholeaccretionweremuchmorecommoninthepast,witha peakatredshiftz≈2(e.g.Fioreetal.2003;Merlonietal.2004; Lehmer et al. 2012). However, it is now evident that even the deepest X-ray surveys are not complete (e.g. Tozzi et al. 2006; Marconietal.2004;Hopkinsetal.2006b,2007;Merlonietal. Hasinger 2008) and miss a significant part of the AGN pop- 2007).CompletingthecensusofAGNactivity,especiallyatred- ulation, in particular the most obscured, Compton-thick (CT) shiftswheremostoftheaccretionoccurred,isthereforeessential AGNs,wheretheX-rayemissionbelow10keVisstronglysup- (cid:63) Tables1,3andAppendicesareavailableinelectronicform pressed by large column density gas (NH > 1024 cm−2). A athttp://www.aanda.org largepopulationofheavilyobscuredAGNisindeedpredictedby ArticlepublishedbyEDPSciences A59,page1of28 A&A549,A59(2013) synthesismodelsoftheX-raybackground(XRB;Comastrietal. radiation from cosmic ray electrons and positrons, accelerated 1995; Gilli et al. 2001, 2007; Treister et al. 2009; Ballantyne by supernova remnants, which mainly occur in young stellar et al. 2011) in order to reproduce the high energy peak of the populations in star-forming regions (see Condon 1992, for a observedX-raybackgroundemission(E ≈ 30keV),whichhas review). The radio emission observed in star-forming galaxies notyetbeendirectlyresolvedbycurrentX-raysurveys. tightly correlates with the emission in the far-infrared (FIR; Since large amounts of gas and dust are responsible for the λ ≈ 40−120 µm) band, since they both originate from star for- suppression of the radiation in the UV, optical and soft X-ray mation processes (e.g. Helou et al. 1985; Condon 1992; Yun bands, perhaps the most obvious waveband to search for these et al. 2001; Appleton et al. 2004; Ivison et al. 2010). This cor- heavily obscured objects is where the dust emission peaks, i.e. relation, observed primarily in local star-forming galaxies and theinfrared(IR)band.Infact,thedustsurroundingtheSMBH starbursts,isfoundtoholdouttohighredshifts(z≈2;e.g.Ibar is heated by the nuclear radiation, reaching temperatures T ∼ et al. 2008; Sargent et al. 2010b; Ivison et al. 2010; Mao et al. 200−1000 K, and re-emits the radiation predominantly in the 2011;Bourneetal.2011). mid-infrared(MIR;λ≈5−40µm)band,peakingat∼20−30µm Joint analyses in the FIR and radio bands, therefore, allow (Netzer et al. 2007; Mullaney et al. 2011). Moreover, at these us to separate star-forming galaxies from the AGN population. wavelengths the effects of extinction are small, making it eas- AlthoughtheweakestradioAGN(RQ)havebeenfoundtofol- ier,intheory,tofindeventhemostobscuredAGN(e.g.Gandhi lowthesameFIR/radiocorrelationofstar-forminggalaxies(e.g. et al. 2009; Goulding et al. 2012). The downside of using the Moric´ etal.2010;Padovanietal.2011),giventheirwiderange IR band to search for AGN activity is that dust is present not in radio-loudness, it is possible to identify AGN via their devi- only in the circumnuclear region of AGN, but also in the host ationfromtheexpectedFIR/radiorelation,theso-called“radio- galaxy, in particular in star-forming regions. The dust in these excess” sources (e.g. Roy & Norris 1997; Donley et al. 2005). regions is heated on average to lower temperatures, and there- Sincetheradioemissionisnotaffected(oronlylightlyaffected) foreitsemissionpeaksatlongerwavelengths,thanthataround by extinction, the radio-excess source selection can potentially theblackhole(typicallyatλ ≈ 100µm,T ∼ 20−50K;e.g. identify AGN that are often missed in optical or even deep dust Calzettietal.2000;Chary&Elbaz2001).Howeverstarforma- X-raysurveys(i.e.themostobscuredCompton-thickAGN;e.g. tionoftendominatesthespectralenergydistribution(SED)over Donleyetal.2005). the entire IR band (e.g. Elvis et al. 1994; Richards et al. 2006; Inthiswork,wecombinetwomethodstoidentifythepres- Netzeretal.2007;Mullaneyetal.2011)anditisoftennottrivial ence of AGN in star-forming galaxies out to high redshift toseparateitfromtheAGNemission. (z≈3): i) detailed IR SED decomposition, which allows us to Potentially a very powerful approach to obtaining an unbi- measuretheAGNcontributiontothetotalSED,typicallydom- ased look at obscured and unobscured AGN is through radio inated by star formation emission; ii) radio-excess signature observations. In fact, at radio frequencies, where the emission compared to the typical FIR-radio relation observed for SFGs, is mainly due to non-thermal processes, such as synchrotron which is most likely due to the presence of nuclear activity. radiation, the effects of extinction are negligible. Historically, We investigate here the radio-excess sources in the GOODS- AGNdetectedinradiosurveyshavebeendividedintotwomain North field, using deep infrared, radio and X-ray data, which classes: i) radio-loud (RL) AGN, which are the strongest radio are some of the deepest data available to date. The paper is or- emitters (typically L (cid:38) 1024−25 W Hz−1; Miller et al. 1990; ganisedasfollows:thedataandcataloguesusedinourinvesti- rad Yunetal.2001)andshowstrongextendedradioemission,such gation are presented in Sect. 2. In Sect. 3, our SED fitting ap- as kpc-scale relativistic jets and lobes, and ii) radio-quiet (RQ) proach is described in details as well as the definition of the AGN, the weaker radio emitters, whose radio emission is con- FIR-radio flux ratio (q) and the radio-excess sample selection, fined in a small, unresolved region (≤0.1 pc; “core”); the lat- togetherwithacomparisonwithotherselectioncriteriausedin tergroupconstitutesthemajorityofthepopulation(∼90%;e.g. previousstudies.InSect.4,weinvestigatetheX-ray,radioand Miller et al. 1990; Stocke et al. 1992). The separation between IRpropertiesofourradio-excessAGNsampleandtheirSEDs. radio-loudandradio-quietAGNhastypicallybeensetatR=10, In Sect. 5 we discuss the mixed population found amongst our whereR,theradio-loudnessparameter,isdefinedastheratiobe- radio-excess AGN, attempting to constrain the fraction of can- tween the monochromatic flux density in the radio and optical didateCompton-thickAGN;wealsoexaminethestarformation bands1 R = S /S (e.g.Kellermannetal.1989;Laor2000). propertiesoftheradio-excessAGNhoststhroughtheirspecific rad opt However,morerecentstudiesbasedondeepradiosurveyshave star-formationrate(sSFR)incomparisonwiththoseofX-rayse- shownthatwhiletheradio-loudnessparameterspansaverywide lectedAGNhosts.InSect.6wesummariseourresultsandgive rangeofvaluesforAGN,thereisnoclearevidenceofbimodal- our conclusions. In Appendix A, the tests performed to refine ity in the population (e.g. White et al. 2000; Brinkmann et al. ourSEDfittingapproachareexplainedandthebest-fitSEDsfor 2000; Cirasuolo et al. 2003; La Franca et al. 2010). AGN can theentireradio-excesssampleareshowninAppendixB. thereforebeidentifiedintheradiobandwithawidedistribution Throughoutthepaperweassumeacosmologicalmodelwith ofradiopower. H0 = 70 km s−1 Mpc−1, ΩM = 0.27 and ΩΛ = 0.73 (Spergel etal.2003). While at bright fluxes the radio population is almost en- tirely composed of AGN, at low radio fluxes (sub-mJy regime) star-forminggalaxies(SFGs)constituteasignificantfractionof 2. Observationsandcatalogs theradiosourcepopulationandbecomedominantatµJyfluxes (e.g. Seymour et al. 2008). The non-thermal radio continuum The Great Observatories Origins Deep Survey-North field observed in star-forming galaxies is produced by synchrotron (GOODS-N;Giavaliscoetal.2004)isoneofthedeepestmulti- wavelength surveys currently available and it constitutes an 1 Mostrecently,otherdefinitionsoftheradio-loudnessparameterhave unprecedented resource in terms of its broad-band coverage beenused,e.g.R = log(νL /L ),whichusesthemonochro- and sensitivity. It covers ≈160 arcmin2 centred on the Hubble matic radio lumiXnosity and hraadrd2X−1-0rkaeyV luminosity (e.g. Ballantyne Deep Field North (HDF-N, 12h36m, +62◦14(cid:48); Williams et al. 2009;LaFrancaetal.2010). 1996) and it includes very deep X-ray Chandra data (2 Ms; A59,page2of28 A.DelMoroetal.:Radio-excesssourcesinGOODS-Herschel Alexanderetal.2003), optical Hubble Space Telescope (HST; The data reduction was performed following the procedure Giavaliscoetal.2004)andmid-infrared(MIR)Spitzerobserva- described in Berta et al. (2010) and the resulting images have tions(PI:M.Dickinson);theGOODS-Nfieldhasalsobeenthe pixelscalesof1.2(cid:48)(cid:48) and2.4(cid:48)(cid:48) atPACS100µmand160µm,re- target of several deep optical imaging and spectroscopic cam- spectively and 3.6(cid:48)(cid:48), 5.0(cid:48)(cid:48) and 7.2(cid:48)(cid:48) at SPIRE 250 µm, 350 µm paigns from 8–10 m ground-based telescopes. Recently, new and 500 µm. Since the 350 µm and 500 µm data suffer from deep observations of this field in the far-infrared (FIR) band strongsourceblendingduetothelargepixelscales,wedidnot withHerschel(Elbazetal.2011)andtheradiobandwithVLA include data at these wavelengths in our SED fitting procedure (Morrison et al. 2010) have usefully increased the potential of (Sect. 3.1) and we only used the PACS 100 µm and 160 µm theGOODS-Ndataset. and SPIRE 250 µm data. The 350 µm and 500 µm flux densi- tiesand/orupperlimits(S ≈ 20.0mJyandS ≈ 30.0mJy, 350 500 5σ) from the catalogue described in Elbaz et al. (2011) were 2.1. SpitzerMIRdata only used in some of the plots (see e.g. Fig. B.1) to verify the TheGOODS-NfieldhasbeenobservedatMIRwavelengthsby accuracyofourSEDfittingattheselongerwavelengths. Spitzerat3.6,4.5,5.8and8.0µmwithIRAC(Fazioetal.2004), TheHerschel100µm,160µmand250µmfluxeswerecal- withameanexposuretimeperpositionof≈23hperband,and culated using PSF fitting at the positions of the Spitzer-MIPS at24µmwithMIPS(Riekeetal.2004),aspartoftheGOODS 24µmsources,whichareusedaspriors(Daddietal.,inprep.). Spitzer Legacy program (PI: M. Dickinson). The source cata- In the resulting catalogue 819 sources (∼42%) have S/N > 3 logue was produced using the SExtractor source detection rou- in at least one of the Herschel bands: 633 sources at 100 µm, tine (Bertin & Arnouts 1996) on a combined 3.6 µm + 4.5 µm 537 sources at 160 µm and 435 at 250 µm, with 5σ (3σ) sen- image,withmatchedaperturephotometryperformedinthefour sitivity limits of ∼1.7 (∼1.2) mJy, ∼4.5 (∼2.3) mJy and ∼6.5 IRACbandsindividually(Dickinsonetal.,inprep.).Theresult- (∼4.0) mJy, respectively. It is important to note, however, that ing IRAC catalogue includes 19437 objects detected at 3.6 µm thesensitivityofthe250µmdatastronglyvariesacrossthefield, witha∼50%completenesslimitof0.5µJy. depending on the local source density of the 24 µm priors. We The 24 µm observations consist of a final mosaic image of included in our sample all of the 1943 24 µm detected sources 1.2(cid:48)(cid:48)pixelscaleanda5σsensitivitylimitof∼30µJy.Thesource within the GOODS-Herschel field (restricted to the area with extractionwasperformedwithaPSFfittingtechniqueusingthe deeperMIPSdata),withorwithoutasignificantHerscheldetec- positionsoftheIRAC3.6µmsourcesdetectedat>5σaspriors tion;thisistoavoidbiasesagainstfaintFIRsources,whichare (seeMagnellietal.2011,fordetails).TheIRAC3.6µmdatais morelikelytobeAGNdominated. used to define the source priors because it is ∼30 times deeper than the 24 µm observations, and therefore all real 24 µm de- tected sources should also be detected at 3.6 µm. The resulting 2.3. VLAradiodata 24µmcatalogueincludes2552sourcesdetectedwithsignal-to- Deep,high-resolutionradioobservationsoftheGOODS-Nfield noiseratio(S/N)>3intheGOODS-Nfield.However,wenote were taken at 1.4 GHz using the National Radio Astronomy that in the outer regions of the GOODS-N field the MIPS data Observatory’s(NRAO)VeryLargeArray(VLA)intheA,B,C isshallowerandtheuncertaintiesonthesourcefluxesaretypi- andDconfigurations(165h).Thecombinedradioimagereaches callylarger;wethereforelimitourcataloguestoasmallerarea armsnoiselevelof∼3.9µJybeam−1nearthecentrewithabeam (∼135arcmin2)withintheGOODS-NfieldwheretheMIPSdata sizeof∼1.7(cid:48)(cid:48).Theseareamongstthedeepestradiodatatakenso is deeper (1943 sources detected at 24 µm, ∼76%). We require far. From the VLA image the radio flux density measurements at least a detection (S/N > 3) at 24 µm for the sources in our havebeenobtainedthroughPSFfittingateach3.6µmsourcepo- sampletobeabletoconstrainthesourceSEDsintheMIRband sition(coincidingwiththe24µmpositions;seeSect.2.1;Daddi (seeSect.3.1). et al., in prep.): 1.4 GHz flux measurements were obtained for An area of ∼150 arcmin2 of the GOODS-N field has also all1943sourcesdetectedat24µmwithintheGOODS-Herschel been surveyed at 16 µm using the Infrared Spectrograph (IRS) area,with489sourceshavingS/N >3andS >13µJy.There- peak-upimaging(PUI)withpointingsof∼10mineach.Theob- ν maining1454sourceshaveS/N < 3andtheyareconsideredas servations and data reduction are described in detail by Teplitz radioupperlimits.Withinthisfield,weestimatedthat∼20radio etal.(2011);theresultingmosaicimageischaracterisedby0.9(cid:48)(cid:48) detected sources (5σ) are undetected at 24 µm down to a flux pixel scale and has an average 5σ depth of ∼40 µJy (Teplitz limitofS ≈ 21µJy;thisgivesanestimateofthecompleteness etal.2011).ThesourcecataloguewasconstructedusingSpitzer- ofourradνioand24µmdetectedsample(hereafterVLA/24µm MIPS 24 µm priors (>5σ sources) and the 16 µm fluxes were sample) of ∼93%, as compared to a pure radio-selected sam- calculated through PSF-fitting, similarly to the procedure used ple.WenotethatthedetectionlimitadoptedforourVLAradio for the 24 µm data; the 16 µm catalogue contains 770 sources catalogue is lower than that used in Morrison et al. (2010) (5σ (Daddietal.,inprep.). detection threshold) and therefore the number of radio detec- tionsfoundhere(489sources)ismuchlargerthanthatfoundby 2.2. GOODS-HerschelFIRdata Morrisonetal.(2010)overthesamearea(256sources). The GOODS-N field has been observed by the Herschel Space ObservatoryaspartoftheGOODS-Herschelsurvey(PI:Elbaz), 2.4. ChandraX-raydata which consists of deep FIR observations of the GOODS-North and GOODS-South fields for a total exposure of 361.3 h. The Chandra X-ray observations of GOODS-N field cover an Imaging of the full northern field (GOODS-N; 10(cid:48) ×16(cid:48)) was area of ≈448 arcmin2 in the 0.5–8.0 keV energy band, with performed using PACS (Poglitsch et al. 2008) at 100 µm and an exposure of ≈2 Ms (Chandra Deep Field North, CDF-N; 160µm(124hofobservations)andSPIRE(Griffinetal.2010) Alexanderetal.2003),reachingasensitivity(on-axis)of≈2.5× at250µm,350µmand500µm(31.2hintotal);seeElbazetal. 10−17ergcm−2s−1(0.5–2.0keV)and≈1.4×10−16ergcm−2s−1 (2011)fordetailsonthePACSandSPIREobservations. (2–8 keV). The main source catalogue of the CDF-N includes A59,page3of28 A&A549,A59(2013) 503 X-ray detected sources (Alexander et al. 2003). A supple- field (i.e., Wirth et al. 2004; Cowie et al. 2004; Chapman et al. mentarycataloguecontaining430X-raysourcesisalsoavailable 2005; Barger et al. 2008; Chapin et al. 2009), as well as some inthisfield.Thesecatalogueswhereconstructedusingasource unpublished spectroscopic redshift identifications (courtesy of detection algorithm with false-positive probability threshold Dickinson). The optical positions of the sources in these cata- of 10−7 for the main catalogue, and a more relaxed threshold logues were matched with the 24 µm positions of our detected of 10−5 for the supplementary catalogue (see Alexander et al. sourcesusingasearchradiusof1.0(cid:48)(cid:48).Sincetheerrorsontheop- 2003,fordetails).Althoughthissecondcatalogueislikelytoin- ticalpositionsaretypicallyverysmall,weusedasmallersearch clude many spurious X-ray sources, it can be used to robustly radius than that used for the X-ray catalogues (see Sect. 2.4). identifyfainterX-raycounterpartsassociatedtoknownsources With this search radius and considering the sky density of the (seee.g.,Sect.3.4.2.ofAlexanderetal.2003). 24 µm detected sources (Sect. 2.4), we estimated the spurious These catalogues were used to identify the X-ray counter- detectionstobe∼3%. parts of the 489 VLA/24 µm sources. The 24 µm positions Spectroscopic redshift measurements were found for were matched to the X-ray positions using a small search ra- 1225sourcesamongstthe24µmdetectedsample(∼63%),with dius of 1.5(cid:48)(cid:48); taking into account the high positional resolution thelargemajoritycomingfromtheBargeretal.(2008)spectro- oftheChandradata(medianpositionaluncertainties≈0.3(cid:48)(cid:48))and scopicredshiftcatalogue(1030/1225).Twomoreredshiftiden- the small pixel size of the MIPS-24 µm images, the majority tificationswereobtainedfromSpitzerIRSMIRspectra(Murphy of the true counterparts are expected to lie within this radius. etal.2009),yieldingatotalof1227z measurementsforour spec In fact, calculating the probability P to find a random object sources. within1.5(cid:48)(cid:48) fromtheX-raypositionsfollowingtheprescription In order to increase the redshift identification completeness of Downes et al. (1986), we obtained a maximum probability ofthesample,wealsoincludedphotometricredshiftsfromacat- ofrandomassociationP = 0.03(consideringaspacedensityof aloguebuiltfollowingtheproceduredescribedinPannellaetal. 24µmsourcesofn=5.2×104deg−2). (2009b) and Strazzullo et al. (2010). The photometric redshifts FromthemaincataloguewefoundX-raycounterparts(inthe (z ) were estimated using a PSF-matched multi-wavelength phot 0.5–8keVenergyband)for137ofthe489VLA/24µmsources catalogue including 10 photometric optical/near-IR passbands (≈28%),withamedianpositionalseparationof≈0.2(cid:48)(cid:48).Amongst (from the U band to 4.5 µm), through a comparison with a li- the matched sources, we found that in none of the cases was braryofgalaxySEDtemplates,spanningawiderangeofgalaxy there more than one counterpart within the search radius, with types (from elliptical, to star-forming to QSO-dominated) and theclosest neighboursbeing atseparations (cid:38)2(cid:48)(cid:48).From thesup- star formation histories (SFHs). The construction of the multi- plementary catalogue we identified a further 22 X-ray counter- wavelengthcatalogueandthephotometricredshiftestimateswill parts to the VLA/24 µm sources, yielding a total of 159 X-ray be described in detail in a paper by Pannella et al. (in prep.). detectedsources(i.e.≈33%oftheVLA/24µmsample).Wenote The photometric redshift catalogue includes 1893 z within phot thatsincethesourcecataloguesinalloftheMIRandFIRbands the GOODS-Herschel area considered here. Photometric red- consideredhere,aswellastheVLAradiocatalogue,arebased shift estimates were available for 671 of the 24 µm detected on the 3.6 µm positions there was no need to cross-match the sources (∼35%) without z measurements. To verify the re- spec X-raysourcepositionswithanyoftheotherbands.FortheX-ray liabilityofthephotometricredshiftswecomparedthez with phot undetectedsources,3σupperlimitswerederivedfromaperture- thespectroscopicredshiftsfromBargeretal.(2008);inthepho- correctedphotometryintheChandraimagesatthe24µmsource tometriccataloguebyPannellaetal.thereare1030sourcesover- positions, assuming a power-law model with Γ = 1.4 (see e.g., lappingwiththeBargeretal.(2008)spectroscopicsample.The Sect.3.4.1ofAlexanderetal.2003;Baueretal.2010). relativeaccuracyofz ,definedastheaverageabsolutescatter phot TheX-rayluminosities(2–10keV;rest-frame)ofthesources (AAS = mean[|∆z|/(1+z )], where ∆z = (z −z ); e.g. spec phot spec wereextrapolatedfromtheobserved2–8keVfluxescalculated Raffertyetal.2011)is≈5%,with≈4%ofoutliers(AAS > 0.2; from detailed X-ray spectral analysis (Bauer et al., in prep.) see also Mullaney et al. 2012). Two further z were taken phot and from Alexander et al. (2003) for the sources in the supple- fromPopeetal.(2006),yieldingatotalof673photometricred- mentaryChandracatalogue.Weusedtheredshiftsdescribedin shiftestimatesforoursample.Thisgivesafinalredshiftidenti- Sect. 2.5 and assumed a constant photon index Γ = 1.9 (which fication completeness of ∼98% (1900/1943 sources, including gives a band conversion factor L2−10keV = 1.08 L2−8keV), in- spectroscopic and photometric redshifts) amongst the 24 µm cluding appropriate k-correction. We note that the X-ray lu- detected sources in the GOODS-Herschel field with a redshift minosities have not been corrected for absorption because the rangez=0.02–6.54. column density estimates (NH, available from Bauer et al., For the purposes of our analysis, we want to investigate in prep.) often have large uncertainties; moreover, NH values here only the sources with a significant radio detection, in were not available for the sources in the supplementary cata- order to have reliable measurements of the FIR-radio cor- logue(Alexanderetal.2003).Therefore,toavoidaddingfurther relation. We therefore only included in our sample sources uncertainties to the X-ray luminosities and to keep consistency with a redshift identification amongst the VLA/24 µm sample intheL2−10keVmeasurementsbetweenthemainandthesupple- (484/489 sources). Due to the limitations dictated by our SED mentary Chandra catalogues, we did not apply any absorption fittingtool(Sect.3.1),wealsoimposedaredshiftlimitofz≤3.0 corrections. to our sources, yielding a sample of 458 VLA/24 µm sources withspectroscopicorphotometricredshiftsofz≤3.0.Theanal- ysis of the whole 24 µm detected sample, including radio un- 2.5. Redshifts detectedsources,willbepresentedinafuturepaper(DelMoro Thanks to the large spectroscopic follow-up observations per- etal.,inprep.). formed in the GOODS-N field, ≈3000 redshift identifications areavailablefortheobjectsinthisfield.Acompilationofspec- 2.6. Stellarmasses troscopic redshifts (z ) were obtained from the major pub- Themulti-wavelengthoptical/near-IRcatalogueusedtoestimate spec licly available spectroscopic redshift surveys of the GOODS-N thephotometricredshifts(Pannellaetal.,inprep.;seeSect.2.5) A59,page4of28 A.DelMoroetal.:Radio-excesssourcesinGOODS-Herschel sample is log M ≈ 10.4 M , and for the VLA/24 µm sam- ∗ (cid:12) ple the median is log M ≈ 10.8 M . We note that the stellar ∗ (cid:12) mass distribution of the VLA/24 µm sample sources is consis- tentwiththatoftheX-raydetectedsources(medianstellarmass: logM ≈10.9M ;seeFig.1). ∗ (cid:12) 3. FIR-radiocorrelation 3.1. SEDfittingapproach The emission observed in the MIR and FIR bands is produced by dust heated by the radiation emitted through star formation and/oraccretionontoaSMBH.Star-formation,whichoccurson large scales in galaxies, heats the dust to a wide range of tem- peratures:thehotdustproducesemissionatnear-IR(NIR;λ ≈ 2.0−5.0 µm) and MIR wavelengths and gives rise to the char- acteristic PAH features (e.g. Chary & Elbaz 2001; Smith et al. Fig.1.GalaxystellarmassesinunitsofM fortheentire24µmdetected 2007), while a large amount of colder dust (T ≈ 20−50 K; (cid:12) dust samplewithredshiftidentification(spectroscopicorphotometric).The seealsoSect.1)producesatypicalSEDthatpeaksatFIRwave- stellarmassesforthesourcesdetectedintheVLAradiobandareshown lengths (λ ∼ 100 µm). AGN activity yields on average hot- asgreyhistogramandtheX-raydetectedsourcesareshownasshaded ter dust temperatures (T ≈ 200−1000 K) than star forma- dust blackhistogram. tion, so that the bulk of the AGN emission is produced in the MIRbandwithapeakat shorterwavelengths(λ ∼ 20−30µm; was also used to calculate the galaxy stellar masses (M ). The e.g.Netzeretal.2007;Mullaneyetal.2011).Thelackofcolder ∗ stellarmasseshavebeenderivedusingtheSEDfittingcodede- dust (T < 200 K) causes a fast decline of the SED at wave- dust tailed in Drory et al. (2004, 2009) to fit our multi-wavelength lengthslongerthanλ(cid:38)30µm(e.g.Netzeretal.2007;Mullaney data.Thestarformationhistorieshavebeenparameterisedwith etal.2011).AGNactivityandstarformationareoftencoupledin alinearcombinationofamainSFevent,withSFRexponentially agalaxyanditisnottrivialtoseparatetheemissionduetothese declining with time as ψ(t) ∝ exp(−t/τ) (where the time-scale two processes. To disentangle the two components we there- τ = 0.1–20 Gyr), and a secondary burst. The main component fore performed a detailed analysis of the IR SEDs of the 458 has solar metallicity and an age between 0.01 Gyr and the age VLA/24 µm detected sources, with spectroscopic or photomet- oftheUniverseatthesourceredshift,whilethesecondaryburst ricredshiftsouttoz=3(Sect.2.5). is limited to <10% of the galaxy total stellar mass and is mod- To represent the galaxy emission we used five star-forming elled as a 100 Myr old constant SFR episode with solar metal- galaxy(SFG)templatesdefinedbyMullaneyetal.(2011),cov- licity. We adopted a Salpeter (1955) IMF for both components eringthewavelengthrange6–1000µm.Thesefivetemplatesare and an extinction law (Calzetti et al. 2000), allowing ranges of defined as composites of a sample of local star-forming galax- A = 0–1.5 mag and A = 0−2.0 mag to extinguish the main ieswith L (cid:46) 1012 L (Brandletal.2006)andaredesignedto V V IR (cid:12) componentandtheburst,respectively(Pannellaetal.,inprep.; samplethefullrangeofIRAScoloursobservedforthesegalaxies see also Mullaney et al. 2012). The uncertainties on the stellar (seeMullaneyetal.2011,fordetails).Wehaveextendedthefive masses are estimated from the dispersion on the mass-to-light SFGtemplatestoshorterwavelengths(3µm)usingtheaverage ratio(M/L)distributionoftheentirelibraryofmodelsadopted, starburst SED derived by Dale et al. (2001). To verify whether aswellasfromthesystematicuncertainties(duetotheadopted the Dale et al. (2001) template was suitable for extending the models, IMF, SFH, metallicity, etc.; see e.g. Marchesini et al. Mullaney et al. (2011) templates, we obtained publicly avail- 2009).Theuncertaintiesaretypicallylargeratlowstellarmasses able NIR and MIR data (from the NASA/IPAC Extragalactic and range from ≈0.4 dex at log M = 9.0 M to ≈0.2 dex at Database, NED3) for the Brandl et al. (2006) sample of local ∗ (cid:12) log M = 11.0 M (Pannellaetal.,inprep.).Wenotethatalso star-forminggalaxiesandweplottedthesedatapointsoverour ∗ (cid:12) AGNemissionintheUV/opticalbandcancauseuncertaintieson extended templates as a check; we thus verified that data and thestellarmassestimates.However,thecontaminationfromthe modelsagreedwithreasonablescatter. AGNaffectsthestellarmassonlywhentheAGNisverylumi- We also extended the five SFG templates to the radio band nous(L >1044 ergs−1;e.g.Rovilos&Georgantopoulos2007; withapower-lawslopeS ∝ ν−α,withα = 0.7(e.g.,Ibaretal. X ν Xueetal.2010;Mullaneyetal.2012). 2009, 2010; see Fig. 2). The normalisation of the radio power- Stellar masses were measured for 1894 of the 1900 24 µm lawcomponentwasfixedaccordingtothetypicalFIR-radiore- detected sources with a redshift identification within the lation found for local star-forming galaxies (Helou et al. 1985; GOODS-Herschel field (Sect. 2.5), which include 456 of the Condon1992).WestressthateventhoughwelimitedourSFG 458VLA/24µmsourceswithspectroscopicorphotometricred- templatelibrarytoonly5templates,theyrepresentawiderange shiftz ≤ 3.0thatconstituteourfinalsample.Thegalaxystellar ofIRcolor–colorpropertiesofstar-forminggalaxies(Mullaney mass values obtained range between log M = 7.0−12.5 M et al. 2011), even broader than those reproduced by, e.g., the ∗ (cid:12) (log M = 8.7−11.9 M for the VLA/24 µm sample), with Chary & Elbaz (2001) galaxy template library (105 templates; ∗ (cid:12) the large majority of the sources (≈97%) having log M = seeFig.2). ∗ 9.0−11.5 M (Fig. 1)2. The median stellar mass for the 24 µm To reproduce the emission from the AGN we used the em- (cid:12) piricallydefinedAGNtemplatebyMullaneyetal.(2011),com- 2 Wenotethatthefractionofsourceswithverylow(logM∗<8.0M(cid:12)) posed by a broken power-law, declining at wavelengths long- orveryhigh(log M∗ > 12.0 M(cid:12))massvaluesamongstthe24µmde- ward of λ (cid:38) 30 µm as a modified black-body. We note that tectedsample(3%)isconsistentwiththeestimatedfractionofphoto- metricredshiftoutliers(seeSect.2.5). 3 http://ned.ipac.caltech.edu/ A59,page5of28 A&A549,A59(2013) SFGtemplates(Fig.2)usingχ2minimisationtoevaluatethe goodnessofthefit; 2. as a second step, we performed new fits, again using χ2 minimisation, by adding the AGN component, also includ- ing extinction of the AGN component as a free parame- ter (varying between A ≈ 0−30 mag, corresponding to V N ≈ 0−5×1022 cm−2 assumingtheaveragegalacticdust- H to-gas ratio A = N /(1.8×1021); e.g. Predehl & Schmitt V H 1995),toeachSFGtemplate(SFG+AGN); 3. finally,an f-testwasperformedusingtheχ2 valuesandthe degrees of freedom (d.o.f.) for all of the five pairs of solu- tionstoevaluatetheimprovementofthefitduetotheaddi- tion of the AGN component. We accepted the SFG + AGN modelasthebest-fitiftheAGNcomponentsignificantly(i.e. >90% confidence level, according to the f-test probability) improved the resulting χ2 for the majority of the solutions, Fig.2. Comparison of the five star-forming galaxy templates used in i.e.inatleastthreeoutoffivefittingsolutions. ourapproach(blacklines)withthe105Chary&Elbaz(2001)galaxy templates(greylines);allofthetemplateshavebeennormalisedto1 at 30 µm. With our 5 SFG templates we cover a broad range of star- Thecriteriaweadoptedtodefinethebest-fittingmodelwerees- forming galaxy properties, even broader than those of the Chary & tablished after performing several tests on our SED fitting ap- Elbaz(2001)templates. proach; in particular, we tested these criteria on a sub-sample of our sources for which detailed Spitzer-IRS MIR spectra are available(seeAppendixA,fordetails). thistemplateisinagreementwiththetypicalSEDsproducedby clumpytorusmodels(e.g.Nenkovaetal.2008a,b).Wefixedthe Oncethebest-fitmodelwasdefined,thefinalmeasurements power-lawindicesattheaveragevaluesΓ = 1.7andΓ = 0.7, ofthepropertiesofthesources(i.e.,FIRflux,relativeAGN/SFG 1 2 with a break pointat λ = 19 µm (see Mullaney etal. 2011). contribution,etc.)andtheirerrorswerederivedasweightedav- Brk We have allowed the AGN component to be modified due to erages of the values obtained from the five best-fit model solu- dustextinction,usingtheextinctionlawofDraine(2003),which tions(seeAppendixAfordetails).FortheAGN+SFGmodels mainlyaffectsthetemplateatλ (cid:46) 30µmandalsoproducesthe we included in the average only the solutions where the AGN typical silicate absorption feature at 9.7 µm, often observed in componentwassignificant(>90%confidencelevel).Thisisbe- AGN(e.g.Rocheetal.1991;Shietal.2006;Rocheetal.2007; cause,duetothesparsedatausedtoconstraintheSEDs,insome Martínez-Sansigreetal.2008). cases the five solutions obtained from the different SFG tem- Theflux densitiesat8 µm,16 µm,24 µmfrom Spitzer and plates were similar (small difference in χ2 values) and did not 100 µm, 160 µm and 250 µm from Herschel have been used allowustounambiguouslydetermineauniquesolutionthatbest intheSEDfittingprocesstoconstraintheSEDsofoursources characterisedthedata(seeAppendixA,fordetails). (Fig.3).Inthecaseofnon-detections(S/N < 3),themeasured fluxes at each source positions, with the large associated un- 3.2. Radio-excesssampleselection certainties, were used in the SED fits. The fluxes in the shorter Spitzer-IRACbands(3.6,4.5,5.8µm)werenotincludedinthe The FIR-radio correlation is typically defined as the ratio be- SED fitting process as they fall out of the wavelength range tween the flux in the FIR band (∼40−120 µm; rest-frame) and covered by our templates at relatively low redshifts z > 0.2. thefluxdensityintherest-frameradioband(1.4GHz;e.g.Helou Moreover,atthesewavelengthstheobservedSEDisoftendom- etal.1985;Sargentetal.2010a).Manystudiesperformedsofar inated by the old stellar population emission, which is not ac- athighredshiftreliedoneitherMIRfluxesasa“proxy”forthe counted for in our SED templates. Data at longer wavelengths FIR(orbolometricIR)flux(e.g.fromtheS ;Appletonetal. from Herschel-SPIRE 350 µm and 500 µm (Elbaz et al. 2011) 24µm 2004; Donley et al. 2005), 70 µm flux density (e.g. Appleton werealsonotincludedinthefits,becauseofthelargeruncertain- et al. 2004; Seymour et al. 2009; Sargent et al. 2010a; Bourne tiesonthemeasuredfluxesduetostrongblending(seeSect.2.2) et al. 2011), or on SED fitting spanning only the rest-frame andthelownumberofsignificantlydetectedsources.However, MIRband(e.g.Sargentetal.2010a;Padovanietal.2011).These thesefluxes(orupperlimits)havebeenincludedwhenplotting methods are often inaccurate because they require assumptions theSEDs,asavisualcheckofthebest-fittingSEDsolutions(see aboutthesourceSEDoverthewholeIRbandand/oronthebolo- Figs.3andB.1). metric corrections. Through our detailed SED analysis of the Wenotethatonlyusingphotometryatλ<250µm(SPIRE- 458 VLA/24 µm sources with z ≤ 3.0, using the approach de- 250µmband)meansthatathighredshifts(z (cid:38) 1.3)wearenot scribedintheprevioussection(Sect.3.1)andtheHerscheldata abletofullyconstraintheFIRSEDpeakatwavelengthslonger toconstraintheFIRSEDpeak,wecanovercometheseissuesby thanλ ≈ 100µm(rest-frame)andthereforewecannotexclude directlymeasuringthegalaxyemissionoverthewholeIRband. the presence of a colder dust component, which would yield From the best-fit models, we calculated the FIR flux (f ) higherFIRfluxesthanthatpredictedfromourmodel.However FIR bydirectlyintegratingthetotalSEDsovertherest-framewave- we can anticipate (see Sect. 3.2) that we find very good agree- length range λ = 42.5−122.5 µm (e.g. Helou et al. 1985). We ment between our average FIR-radio relation and that found in usedthetotalSED,whichinmanycasesincludescontributions severalpreviousworks. frombothSFGandAGNcomponents,tocalculatetheFIRflux TheSEDfittingprocesswasdevelopedasfollows: becauseweaimataconservativeselectionofradio-excessAGN, 1. initially,onlythestar-forminggalaxytemplateswereusedin sinceradioquietAGNoftenfollowthetypicalFIR-radiorelation thefit;wefittedthedataofeachsourcewitheachofthefive ofstar-forminggalaxies. A59,page6of28 A.DelMoroetal.:Radio-excesssourcesinGOODS-Herschel Fig.3.Examplesofspectralenergydistributions(SEDs)todemonstratethevarietyofSEDsfoundfortheradio-excesssources(Sect.3.2).The SEDsontheleftareconsistentwithasimplegalaxytemplate:SFGtemplate(“IRSFG”,top)orellipticalgalaxytemplate(“passive”,bottom;see Sect.4.3);theSFGtemplateupperlimit(greyline)isalsoshown.Wenotethattheellipticaltemplate(longdashedline)isnotfittedtothedata, butitisonlyshowntodemonstratethatitcanwellrepresentthedata.TheSEDsontherightarefittedwithastar-forminggalaxy(dashedline)+ AGN(dottedline)model(“IRAGN”):onthetopthereisanX-raydetectedAGN,onthebottomanX-rayundetectedAGN.ThetotalSEDsare shownasblacksolidlines.ThefilledcirclesrepresenttheSpitzer8,16,24µmandtheHerschel100,160,250µmfluxdensities(inmJy),usedto constraintheSEDs.TheopensymbolsindicatesthedatathatwerenotincludedintheSEDfittingprocess:redtrianglesareSpitzer-IRAC3.6,4.5, 5.8µmfluxdensities,blackcirclesareSPIRE350and500µmandblacksquaresareVLA1.4GHzfluxdensities;theradiodatadonotmatchthe SEDsinthesecases,becausethesourceshaveexcessradioemissioncomparedtothatexpectedfrompurestarformation(Sect.3.2).Thebluestar representsthe6µmluminosityoftheAGNpredictedfromtheX-rayluminosityintherest-frame2–10keV,usingtheLutzetal.(2004)relation forlocalunobscuredAGN;wenotethatthispointdoesnotmatchtheIRAGNcomponentbecausetheX-rayluminositytendstounderestimatethe intrinsicAGNpoweriftheAGNemissionisheavilyabsorbed(seeSect.5.1).Onthetopleftcornerofeachplotthesourceredshiftsareindicated aswellasthecorrespondingsourcenumberinTable1(Col.1). In only ≈3% of the 458 analysed sources (15 sources) was estimatedbynormalisingtheSFGtemplatestothe24µmdata- theSEDfittinganalysisunabletoprovideagoodrepresentation point(Figs.3andB.1),whichisthususedasaproxyofstarfor- ofthemid-andfar-IRdata4.Inmostofthecases(6/15),thiswas mation,andintegratingtheSEDbetween42.5−122.5µm.Ofthe duetolargeuncertaintiesonthephotometricredshift,orpossibly five measurements obtained from the different SFG templates, to spurious counterpart associations between the different cata- themaximumhasbeentakenasthe f upperlimit. FIR logues (see Sect. 2.5). In a smaller number of cases (4/15), the UsingthedefinitiongivenbyHelouetal.(1985),wecalcu- poor fitting results seemed to be due to large uncertainties on latedtheratiobetweenthefar-infraredandradioemission(q)as: thefluxdensitymeasurements,especiallyatwavelengthswhere thesourcesarenotsignificantlydetected(S/N <3).Weflagged (cid:104) (cid:16) (cid:17)(cid:105) q=log f / 3.75×1012Hz −log[S (1.4GHz)] (1) these“problematic”casesinTable1(column“Fit”),beingaware FIR ν thatthemeasurementsobtainedfromtheirSEDsarenotfullyre- liable.Theremainderofthesesources(5/15)havestrongemis- where fFIRisinunitsofWm−2,3.75×1012Hzisthefrequency sionintheSpitzer IRACbands,evenstrongerthanthefluxde- at the centre of the FIR band (λ = 80 µm) and Sν(1.4 GHz) tected at 24 µm (S /S > 1), and are not detected at longer istheradiofluxdensity(inunitsofWm−2 Hz−1)atrest-frame 8 24 wavelengths(FIR)byHerschel.Thissuggeststhattheemission 1.4 GHz, extrapolated from the VLA data using the power-law slopeS ∝ ν−α,withα = 0.7,typicalforstar-forminggalaxies from star formation (or AGN) in these sources is weak, while ν (e.g.,Ibaretal.2009,2010). theemissionfromoldstellarpopulation,usuallydominatingthe rest-frame NIR band (λ < 5 µm, rest-frame), is strong; their Theqdistributionobtainedfortheentiresampleisshownin Fig.4(left);thesourceswhere f (andthereforealsoq)isan infraredSEDsarethereforemoreconsistentwiththatofgalax- FIR upper limit are not included in the histogram. The peak of the ies dominated by passive stellar populations rather than by ac- distribution is at q ≈ 2.2, in excellent agreement with the val- tivestarformation.ForthesesourcesFIRfluxupperlimitswere ues typically obtained for star-forming/starburst galaxies (e.g. 4 ThepoorfitswereflaggedbyvisualinspectionoftheresultingSEDs; Helou et al. 1985; Condon 1992). However, the distribution is these are the cases where even the best-fitting SEDs deviate signifi- not symmetrical around the peak and shows a broad tail at low cantlyfromthedata. q values, indicating a relatively large number of sources with A59,page7of28 A&A549,A59(2013) Fig.4.Left:distributionofFIR-radiofluxratio(q)forallofthesourcesintheVLA/24µmsample(458sources,excludingtheupperlimits;see Sect.3.2);theblueGaussianprofilerepresentsthebestfittothepeak(q = 2.21±0.18),whilethereddashedGaussianistheqdistribution mean foundbyHelouetal.(1985)forlocalstarburstgalaxies.Theverticallineindicatestheseparationweassumedtoselectourradio-excesssources, q = 1.68,correspondingto3σfromthepeak(2σwhenincluderadioupperlimits).Right:FIR-radiofluxratio(q)asafunctionofredshiftfor alloftheVLA/24µmsources;theradio-excesssourceshaveq < 1.68(dot-dashedline);thesolidhorizontallinerepresentstheaverageqvalue forthe“radio-normal”sources(q = 2.21)andtheshadedregionindicatesthe±1σerrorfromthisaverage.Theradio-excesssourcesidentified byDonleyetal.(2005)areplottedascrosses(seeSect.3.3).Thebinnedqaverageforthe“radio-normal”sources,inthreeredshiftbins,isalso shownasblackcircles;wefoundnosignificantevidenceofevolutionoftheFIR-radiocorrelationouttoz=3. excess radio emission over that expected from star formation withoursample5 (seeSect.3.3).InFig.4(right)wealsoshow processes. thattheaverageqforalloftheradio-normalsources,calculated in three different redshift bins (z = 0.0−1.0, z = 1.0−2.0, In order to identify the radio-excess sources, we fitted the z = 2.0−3.0,blackcircles),rema1insfairlyconsta2nt,withinthe peakoftheqdistribution,consideringonlysourceswithq>2.0, 3 errors,overthewholeredshiftrange,andtherefore,theapparent withaGaussianprofileandestimatedthespreadoftheFIR-radio decrease of the q values at high redshift is not significant (e.g. correlationexpectedforstar-forminggalaxies:fromthebest-fit Elbazetal.2002;Sargentetal.2010b;Maoetal.2011;Bourne weobtainedq = 2.21±0.18(seeFig.4).Ifwealsoincludethe etal.2011). radioundetectedsources(S/N <3)intheqdistribution,weob- tainaGaussianprofilewithaverysimilarpeak,butlargerscatter (q=2.24±0.29),duetothelargeruncertaintiesontheqvalues. 3.3. IR-radiorelation:q andq 24 100 Theqvaluesfortheradioundetectedsourceswerecalculatedus- ingtheradio1.4GHzfluxmeasurementsatthe24µmsourcepo- SeveralpreviousworksthathaveinvestigatedtheFIR-radiocor- sitions(Sect.2.3).Wesettheseparationbetween“radio-normal” relation and radio-excess sources have used different methods and “radio-excess” sources at q = 1.68, corresponding to a 3σ todefinetheFIR-radiofluxratio.Inparticular,inmanystudies deviation from the peak of the distribution for the VLA/24 µm theFIRfluxhasbeenreplacedbythemonochromaticfluxden- sample (∼2σ from the peak for the whole 24 µm sample). We sity at 24 µm (e.g. Appleton et al. 2004; Donley et al. 2005; defined“radio-normal”asthesourceswithq>1.68,thatfollow Ibar et al. 2008; Sargent et al. 2010a), 60 µm (e.g. Vlahakis thetypicalFIR-radiorelation(q ≈ 2.2);wenotethatthispopu- et al. 2007), or 70 µm (Seymour et al. 2009; Sargent et al. lationincludesstar-forminggalaxies,butalsotypicalradio-quiet 2010a;Maoetal.2011),asaproxyfortheFIRemissionofthe AGN(e.g.Moric´etal.2010;Sargentetal.2010a;Padovanietal. galaxy.Itisthereforeinterestingtoseehowthesedefinitionsof 2011), while the large majority of the radio-excess sources are the FIR-radio ratios, calculated from monochromatic flux den- mostlikelytohostAGNactivity. sities, compare to q estimated by us (Eq. (1)) across the full FIRwaveband.Inparticularweperformedadirectcomparison Withourselectionweobtainedasampleof51radio-excess AGNcandidates,∼11%ofthewholeVLA/24µmdetectedsam- of our sample selection with that used by Donley et al. (2005), wheretheradio-excesssourceswereselectedusingq <0,with pleatz ≤ 3.0.InFig.4(right)weshowtheFIR-radioratio(q) 24 for the entire sample as a function of redshift. The horizontal dashed line indicates the q value at the peak of the distribution 5 Wenotethatfor6sourcestheredshiftslistedinDonleyetal.(2005) (q=2.21±0.18)with1σuncertainty(shadedregion),whilethe areindisagreementwithours(seeTable1):infivecaseswehavenew dot-dashed line at q = 1.68 represents our threshold for radio- spectroscopicredshiftswheretherewereonlyphotometricredshiftes- excesssources(3σdeviationfromthepeak).Intheplotwealso timates(ornoestimatesatall)inDonleyetal.(2005);intheremaining marked12oftheDonleyetal.(2005)radio-excesssourcesthat case,wehaveaphotometricredshiftwheretherewasnoredshiftmea- arefoundwithintheGOODS-Herschel(North)fieldandoverlap surementforthissourceinDonleyetal.(2005). A59,page8of28 A.DelMoroetal.:Radio-excesssourcesinGOODS-Herschel q =log(S /S ),calculatedusingtheobserved24µm 24 24µm 1.4GHz and1.4GHzfluxdensities. AsshowninFig.4(right),themajorityoftheDonleyetal. (2005) sources (11/12 that overlap with our sample) are also radio-excesssourcesbasedonourdefinition.Howeverq does 24 notprovideacompleteselection,sincethemajorityofourradio- excesssources(≈78%,40objects)aremissingfromtheDonley et al. (2005) sample. To verify that this is not only due to the improvedsensitivityofourradiodata(Sect.2.3),wecompared thenumberofradio-excesssourceswewouldidentifywithour qdefinitionandselection(q<1.68)usingtheradiocatalogueby Richards(2000),thesameasthatusedbyDonleyetal.(2005): we obtained 24 radio-excess sources in the GOODS-Herschel field,twicethenumberofthoseidentifiedbyDonleyetal.(2005) using q within the same sky area (12 sources). Moreover, in 24 one case the q selection by Donley et al. (2005) disagrees 24 withourFIR-radioratio,underestimatingtheFIRpowerofthe sources(Fig.4,right).ThiseffectisshownmoreclearlyinFig.5, where we calculated the observed q and q for all of the 24 100 VLA/24µmdetectedsources6.Theq andq ratiospredicted 24 100 for our range of star-forming galaxies are shown as shaded re- gions in Fig. 5, where our radio-excess sources (q < 1.68) are marked with open circles; the q = 0 line adopted by Donley 24 etal.(2005)toselectradio-excesssourcesisalsoshown(Fig.5, top panel). Although the q < 0 criterion would select some 24 of our radio-excess sources, more than 60% of them would be missed,testifyingthelargeincompletenessofthismethodwhen comparedtotheFIR-radiorelationq(Eq.(1)).Moreover,using q < 0 to define the radio-excess sample would include some 24 “radio-normal” galaxies (according to our definition; Sect 3.2), introducingsomecontaminationtothesample(∼10%). Ontheotherhand,theq ratio(Fig.5,bottom)seemstobe 100 inbetteragreementwithourqselectionthantheq ratio,asfew 24 Fig.5.Infrared-to-radiofluxratios,usingtheobserved24µm(q ;top) ofourradio-excesssourcesfallintotheshadedarea.Thisisex- 24 and100µmfluxdensities(q ;bottom);theradio-excesssourcesinour pectedsincethefluxobservedat100µmisclosertotheFIRSED 100 sample(q<1.68)arehighlightedbyopencircles.Theshadedregions peak than that observed at 24 µm which is also likely to be af- inthetwoplotsrepresenttheq andq ratiospredictedforourrange fected by the PAH emission features at z (cid:38) 1 (as illustrated by of star-forming galaxies as a f2u4nction1o00f redshift. The horizontal line the shaded region in Fig. 5, top) and/or by AGN contribution. in the top plot is the q = 0 selection used by Donley et al. (2005) 24 By defining a separation line below the shaded area to identify todefinetheirradio-excesssample.Inthebottompanelweidentified radio-excesssources(e.g.q = 1.5;Fig.5)wewouldrecover q = 1.5asaneasyselectionofradio-excesssources(dashedline), 100 100 the majority of our radio-excess sources (∼60%; ∼80% includ- withreasonablecompleteness(≈60–80%)atleastouttoz≈2. ing the upper limits that lie right above the separation line), a much larger fraction than those identified using q . We stress, 24 InFig.6,weshowtherest-frameFIRandtheradio1.4GHz however, that the q (observed) selection is still not complete 100 luminosities (L − L ; rest-frame) for all of the “radio- andmuchlessaccuratethanourselectionmethodusingtherest- FIR 1.4GHz normal” (black crosses) and the radio-excess sources (red cir- frameFIRfluxtocalculateq. cles) in the GOODS-Herschel field. The diagonal lines repre- sent the mean q value obtained for the “radio-normal” sources 4. Results (q=2.21)andtheseparationbetween“radio-normal”andradio- excess sources (q = 1.68). For comparison we also indicate 4.1. Sampleproperties in the plot the average q obtained for a sample of low-redshift (z (cid:46) 0.15) radio-loud AGN (RL; (cid:104)q (cid:105) = −0.38) from Evans We established in Sect. 3 that the direct measurement of the RL et al. (2005). For these sources the FIR flux was calculated us- FIR flux from the best-fit SED provides a reliable and unam- ingthephotometryat60µmand100µm,followingHelouetal. biguouswaytoidentifysourcesthathaveradioemissioninex- (1985).SomewellstudiedlocalCompton-thickAGNtakenfrom cesstothatexpectedpurelyfromstarformation.Asdescribedin literature7 (Della Ceca et al. 2008) are also plotted, as a guide; theprevioussections,fromouranalysisweidentified51radio- althoughthemajorityofthesesourceshaveFIR-radioratioscon- excesssources,whicharemostlikelyhostinganAGN. sistent with that of star-forming galaxies and most radio-quiet 6 q =log(S /S ),whereS andS areobserved AGN (q ≈ 2.2), three out of the eight AGN are radio-excess 100 100µm 1.4GHz 100µm 1.4GHz monochromatic fluxes. Since we do not have photometric measure- sources (i.e., Mkn 3, NGC 7674 and NGC 1068), suggesting ments at 60 µm or 70 µm to directly compare our results with those that some Compton-thick AGN might also be included in our obtained in previous works (e.g. Vlahakis et al. 2007; Seymour et al. radio-excesssample. 2009; Sargent et al. 2010a; Mao et al. 2011), we used the observed 100µmfluxdensity,whichistheclosestavailabledatapointtoallow 7 The FIR and radio data for these sources are taken from the anycomparisonwithq orq . NASA/IPACExtragalacticDatabase(NED). 60 70 A59,page9of28 A&A549,A59(2013) sources. Amongst our radio-excess AGN sample, only ∼53% (27/51) are detected in the X-ray band (Table 1), hence about half of the sample is X-ray undetected. This suggests that the radio-excessselectionisapowerfulmethodtoidentifyAGNthat wouldotherwisebemissedbyeventhedeepestX-rayAGNsur- veys,suchastheChandra2MsX-raysurvey(Alexanderetal. 2003). In Fig. 7, we show the fraction of radio-excess sources as a function of X-ray luminosity. The sources have been divided intofiveX-rayluminositybinsfrom L = 1040 ergs−1 to 2−10keV L = 1045 ergs−1. We found that the fraction of radio- 2−10keV excess AGN increases from ≈7% at low X-ray luminosities (L < 1042 erg s−1) to ≈60% in the highest luminosity 2−10keV bin(L =1044−1045ergs−1).Thislargeincreaseofradio- 2−10keV excessAGNathighluminositiessuggeststhatthebrightestAGN alsoproducethemostpowerfulradioemission(e.g.Brinkmann et al. 2000; La Franca et al. 2010), presumably the majority of itcomingfromaradiocore.Wenotethatthefactthatmorelu- minousAGNarealsomoreradiobrightdoesnotmeanthathigh luminosity AGN are typically radio loud. On the contrary, the radio-loudness, measured as R = log(νL /L ), de- X 1.4GHz 2−10keV creases with increasing X-ray luminosity (e.g. La Franca et al. 2010). To investigate in detail the radio properties of our radio- excess sources we compared the excess radio emission (i.e. Fig.6.Toppanel:fractionofradio-excesssourcesasafunctionofthe the excess above the radio emission expected from star for- rest-frame FIR luminosity (42.5–122.5 µm, in units of L(cid:12)); the frac- mation), with the AGN radio core emission detected in deep tion decreases with increasing LFIR, as expected since sources with VLBI 1.4 GHz observations of the Hubble Deep Field North highLFIRaremorelikelytobeluminousstar-forminggalaxies.Bottom (HDF-N) and the Hubble Flanking Fields (HFF). The details panel: rest-frame FIR vs. radio 1.4 GHz luminosity (rest-frame); the of the VLBI observations are given in Chi et al. (2009) and radio-excess sources are plotted as red circles and some local well Chi et al. (in prep.). Briefly, the sensitivity of the VLBI data known Compton-thick AGNs (open squares) are shown for compari- variessignificantlyfromthecentreofthefield(rmsnoiselevel son (data taken from literature). The black dotted line correspond to (cid:104)q (cid:105) = −0.38 (average for a sample of RL AGN from Evans et al. of 7.3 µJy/beam within 2(cid:48) from the phase centre) to the outer 20R0L5);theblacksolidlinecorrespondtoq=2.21(averagefor“radio- parts of the field (2(cid:48)−8(cid:48); rms noise level of 14–37 µJy/beam), normal”sources)andthereddashedlinecorrespondtoq = 1.68,our which means that only sources with a radio core brighter than selectionlimitforradio-excesssources. S (cid:38)100µJyarelikelytobedetected.Amongstourradio- 1.4GHz excesssample, only13sourcesare brightenough(onthe basis of the VLA 1.4 GHz flux density; Table 1) to be detected in It is important to note that, although some of our radio- the VLBI images and for eight of them a compact radio core excess sources have radio luminosities typical of radio-loud was indeed detected by VLBI, positively confirming that these AGN(Lrad > 1024 WHz−1),themajorityliesinaregioninbe- sources host an AGN and that the excess radio emission is in tween those occupied by RL AGN and “radio-normal” sources fact due to a radio core. The remaining five sources have on and therefore can also be referred to as “radio-intermediate” average lower radio VLA fluxes compared to the sources de- sources(e.g.Drakeetal.2003).Wethereforestressthatthedefi- tected by VLBI (the only exception is #47, in Table 1, which nitionof“radio-excess”doesnotnecessarilymean“radio-loud” is an extended radio-loud, wide-angle-tailed source) and lie in (seeSect.1). theouterregionsoftheVLBIfield;thenon-detectiontherefore InthetoppanelofFig.6,thefractionofradio-excesssources mightbeduetosensitivityissues,or,asinthecaseofsource#47, as a function of the rest-frame FIR luminosity is shown (with to the radio flux being dominated by extended emission, more 1σuncertainties;Gehrels1986).Thesourcesinoursamplespan than a compact core. The rest of our radio-excess sources lie awiderangeofFIRluminosities,LFIR ≈109−1012 L(cid:12)(Table1), outside the VLBI region (13 sources) or are typically too faint typical of normal star-forming galaxies, luminous IR galax- (S <100µJy)tobesignificantlydetectedabovetheVLBI 1.4GHz ies (LIRG; LFIR ≈ 1011 L(cid:12)) and ultra-luminous IR galaxies sensitivitylimit(25sources). (ULIRGs; LFIR ≈ 1012 L(cid:12)). However, the fraction of radio- In Fig. 8 we show the comparison between the AGN radio excess sources decreases with increasing FIR luminosity, and coreemissionmeasuredfromtheVLBIdataandtheexcessra- only one source out of 51 reaches the high luminosities typical dio emission obtained for our sources. The excess radio emis- ofULIRGs.Thisisnotunexpected,sinceatthehighFIRlumi- sionwasestimatedbysubtractingthe1.4GHzfluxpredictedfor nosities of ULIRGs, the radio core must be very bright (Lrad > starformationassumingtheaveragevalueq = 2.21(Sect.3.2), 2 × 1024 W Hz−1; RL AGN regime) to be identified as radio- fromthetotalradiofluxdensity(fromtheVLAdataat1.4GHz; excessabovetheverystrongstar-formationactivity. Sect.2.3).Theobtainedradioexcessfluxdensitiesagreewiththe VLBIAGNcoreemissionwithinafactorof≈2.Thisisafurther validationthatourSEDanalysisisreliableandthatwithitweare 4.2. X-rayandradioemissionfromtheAGN abletopredicttheAGNradio-coreluminositieswithreasonable Sincetheexcessradioemissionisattributedtothepresenceofan accuracy.Wenotethatourestimatestendtoslightlyoverpredict AGN,itisinterestingtoinvestigatetheX-raypropertiesofthese the AGN radio-core flux densities because they might include A59,page10of28
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