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Preview High Resolution Studies of Radio Sources in the Hubble Deep and Flanking Fields

Mon.Not.R.Astron.Soc.000,000–000(2004) Printed2February2008 (MNLATEXstylefilev2.2) High Resolution Studies of Radio Sources in the Hubble Deep and Flanking Fields T.W.B. Muxlow1, A.M.S. Richards1, S.T. Garrington1, P.N. Wilkinson1, B. Anderson1, E.A. Richards2, D.J. Axon3, E.B. Fomalont4, K.I. Kellermann4, 5 0 R.B. Partridge5 and R.A. Windhorst6 0 1MERLIN/VLBI National Facility, Jodrell Bank Observatory,Universityof Manchester, Macclesfield, Cheshire, SK11 9DL, UK. 2 2Department of Physics, Talladega College, Talledega, Alabama 35160, USA n 3Department of Physics, Rochester Institute of Technology, 84 Lomb Memorial Drive,Rochester, NY 14623, USA. a 4NRAO Edgemont Road, Charlottesville, Virginia22903, USA. J 5Department of Astronomy, Haverford College, Haverford, PA 19041, USA. 1 6Department of Physics and Astronomy, Arizona State University,Box 871504, Tempe, AZ 85287-1504, USA. 3 1 v 2February2008 9 7 6 ABSTRACT 1 Eighteen days of MERLIN data and 42 hours of A-array VLA data at 1.4 GHz have 0 been combined to image a 10-arcmin field centred on the Hubble Deep Field (HDF). 5 This area also includes the Hubble Flanking Fields (HFF). A complete sample of 0 / 92 radio sources with S1.4 > 40 µJy was detected using the VLA data alone and h then imaged with the MERLIN+VLA combination. The combined images offer: i) p higherangularresolution(synthesisedbeamsofdiameter0.2–0.5arcsec);ii)improved - o astrometricaccuracyandiii)improvedsensitivitycomparedwithVLA-onlydata.The r images are amongst the most sensitive yet made at 1.4 GHz, with rms noise levels of t 3.3 µJy beam−1 in the 0.2-arcsec images. Virtually all the sources are resolved, with s a angular sizes in the range 0.2 to 3 arcsec. The central 3-arcmin square was imaged : separatelyto searchfor sources down to 27 µJy. No additional sources were detected, v i indicating that sources fainter than 40 µJy are heavily resolved with MERLIN and X must have typical angular sizes >0.5 arcsec. Radio sources associated with compact r galaxies have been used to align the HDF, the HFF and a larger CFHT optical field, a to the radio-based International Celestial Reference Frame. The HST optical fields have been registered to < 50 mas in the HDF itself, and to ≤150 mas in the outer parts of the HFF. We find a statistical association of very faint (≥ 2 µJy) radio sourceswithopticallybrightHDFgalaxiesdownto∼23mag.Ofthe92radiosources above40 µJy, ∼85per cent are identified with galaxiesbrighterthan I = 25 mag;the remaining15percentareassociatedwithopticallyfaintsystemsclosetoorbeyondthe HFF (or even the HDF) limit. The high astrometric accuracyand the ability of radio waves to penetrate obscuring dust has led to the correctidentification of several very red, optically faint systems including the the strongest sub-mm source in the HDF, HDF850.1.On the basisof their radio structuresandspectra 72 per cent (66 sources) can be classified as starburst or AGN-type systems; the remainder are unclassified. The proportionofstarburstsystems increaseswith decreasingflux density;below 100 µJy>70percentofthesourcesarestarburst-typesystemsassociatedwithmajordisc galaxies in the redshift range 0.3 – 1.3. Chandra detections are associated with 55 of the92radiosourcesbuttheirX-rayflux densitiesdonotappeartobe correlatedwith the radioflux densities ormorphologies.The mostrecentsub-mmresultsonthe HDF andHFFdonotprovideanyunambiguousidentificationswiththeselatestradiodata, except for HDF850.1, but suggest at least three strong candidates. Key words: galaxies: evolution – galaxies: active – galaxies: starburst – cosmology: observations – radio continuum: galaxies 2 T. W. B. Muxlow et al. 1 INTRODUCTION We look forward to the possibilities opened up by the next generationoftelescopesinSection10andouroverallconclu- Radio observations allow us to probe the nuclear regions sionsfromthisdeepradiostudyarepresentedinSection11. of galaxies which are obscured by gas and dust in other wavebands. In addition, radio observations with high an- gular resolution can distinguish, on morphological grounds, between emission that is driven by star-formation and that which is driven by Active Galactic Nuclei (AGN). While sub-mm wavelengths provide one means of detecting star- 2 THE RADIO OBSERVATIONS AND DATA formation in the early Universe, through redshifted infra- REDUCTION red radiation from dusty star-forming regions, current sub- mminstrumentsdonothavesufficientangularresolutionto 2.1 The VLA observations avoid source blending in deep sub-mm fields, or the astro- The detailed description of the VLA observations and cali- metriccapabilitytoavoidconfusionincrowdedoptical/NIR bration are given in Richards (2000) and we merely sum- fields. Sensitive, high angular-resolution radio observations marize the work here for completeness. We observed an are currently the best way to uniquely identify the optical area centred on the Hubble Deep Field and located at counterpartstothispopulation.Furthermore,becauseofthe R.A. 12h 36m 49s.4 Dec. +62◦ 12′ 58′.′00 (J2000) with the negative K-correction, dusty galaxies observed at sub-mm VLAinA-arrayforatotalof50hoursat 1.4GHz.Inorder wavelengths preferentially lie at high redshifts whereas ra- to minimise chromatic aberration, we observed in ‘pseudo- dio observations are sensitive to a wide range of redshifts continuummode’with7×3.125MHzchannelscentredonin- andtoa mixof starburstand AGNactivityand hencepro- termediatefrequencies1365MHzand1435 MHz,frequency vide complementary information on the population of dis- windowspreviouslyestablishedtoberelativelyfreeofradio tant galaxies. frequencyinterference. TheHubbleSpaceTelescope(HST)hasbeenusedtoim- Aftertime-averagingthedatato13 secondsandsignif- age a window on the distant universe to very high sensitiv- icant tapering in the spatial frequency plane, preliminary ity.ThecentralHubbleDeepField (HDF)andsurrounding 10-arcsec resolution maps were made covering the field out Hubble Flanking Fields (HFF) are complete to R magni- tothefirstside-lobeoftheprimarybeam–about0◦.8from tudes of 29 and 25 respectively (Williams et al. 1996). The thefieldcentre.Thesewerethensearchedforbright,confus- HDF region was selected to avoid known bright galaxies in ing sources with flux densities whose side-lobes might con- any observablewaveband. taminatethenoisecharacteristicsoftheinnerportionofthe We report here the results from our high-resolution, field. high-sensitivity 1.4-GHz MERLIN+VLA study of the µJy Each confusing source above 0.5 mJy was imaged and sources found in a 10-arcmin field enclosing both the HDF heavily cleaned using the full resolution data set. Because and HFF, together with a more sensitive search for radio ofchangesintheprimarybeamresponseacrossour44-MHz sources in a 3-arcmin square field enclosing the HDF itself. bandpass it was necessary to deconvolve each of the con- These represent amongst the most sensitive 1.4-GHz obser- fusing sources in spectral-line mode separately from each vationsyetmadeandtogetherwiththeirhighangularreso- frequencychannel.Furthermore,theconfusingsourceswere lution(0.2arcsec)andastrometricpositionalaccuracy(tens independently deconvolved for each hand of circular polar- ofmas)thesedataallow,forthefirsttime,detailedimaging ization;thiswastoaccountforthebeam-squintoftheVLA and accurate identification of µJy radio sources. antennas which produces small but significant differences This work represents a major extension to the original for each hand of polarization for sources on the edge of the 1.4-GHzVLAresultsreportedinRichardsetal.(1999) and primary beam. The clean components were then Fourier Richards(2000)providingbetterastrometry,moresensitive transformed and subtracted from the visibility data which maps, and higher angular resolution. It also complements were then used to image the inner few arcmin of the field. and adds to the work at 8.4 GHz reported by Fomalont et Following this procedure, the rms noise was found to be al. (2002) and Richardset al. (1998). about 50 per cent higher than expected from receiver noise InSections2and3,wesummarizetheVLAandMER- alone.Inparticular,afewside-lobesfromparticularlystrong LIN observations and the procedures adopted to make the confusing sources (S >10 mJy) located near the half-power radioimages.InSection4wedescribeinsomedetailthepro- point of theprimary beam were still apparent. cess of alignment of the optical and radio fields in order to By examining the images made from 30 minute seg- achieve a registration accuracy of <50 mas (HDF) to <150 ments of data, we isolated a few time intervals where the mas (HFF/outer 10-arcmin field). In Section 5 we discuss visibilitydataappearedtobecorrupted,possiblyduetoin- the individual radio/optical objects in the 10-arcmin field. complete confusing source subtraction associated with tele- In Section 6 we outline the different procedure adopted to scope pointing errors, or perhaps low level interference. We image the 3-arcmin field and discuss the statistical associ- deleted all datasegmentswhere therms noiseexceeded the ation of very weak radio sources with optical objects down mean value by greater than 50 per cent. This amounted to toR=25mag.InSection7wediscussthestructuralprop- about7hoursofdataand,inall,about42hoursofhighqual- erties of the µJy radio sources, their optical identifications itydatawereusedtoconstructthefinalimages.Inthefinal andredshifts,theirluminosities andinferredstar-formation VLA images we achieved an rms noise of 7.5 µJy beam−1, rates. In Section 8 we make comparisons with other obser- compared with a theoretical value closer to 5 µJy beam−1. vations in radio, sub-mm, infra-red, and X-ray wavebands; 92 sources with flux densities >40 µJy (5.3σ) were reliably whilst in Section 9 we discuss the optically faint systems. detected in the10-arcmin × 10-arcmin field. High resolution radio studies of HDF/HFF sources 3 2.2 The MERLIN observations 10-arcminfield,individual‘postage-stamp’mapsweremade centred on each source from both the VLA and MERLIN WeobservedthesamepositionwiththeMulti-ElementRa- datasets separately. No deconvolution was performed prior dio Linked Interferometer Network (MERLIN) at 1.4 GHz to any image combination; thus the ‘dirty maps’ and ‘dirty in February 1996 and April 1997 for a total of 18.23 days. beams’weremadefromeachnaturally-weighteddatasetsep- These observations included the 76-metre diameter Lovell arately.InordertoretainoptimumFourierTransform grid- Telescope which increases the array sensitivity by a factor ding for each dataset, a different cell-size was selected for ∼2.4 compared with identical observations excluding the eacharray(MERLIN0.05arcsec,VLA0.4arcsec).TheVLA Lovell Telescope. Observations with a single intermediate ‘dirty maps’ and ‘beams’ were then re-gridded to the cell- frequency, were centred on 1420.0 MHz with 32×0.5-MHz sizeoftheMERLINimagesandthenaveragedwiththemto channels to allow imaging over a wide field 10 arcmin on producecombination ‘dirty maps’ and a combination ‘dirty a side (comparable with the primary beam of the Lovell beam’.Wegaveequalstatisticalweighttoeachinputimage Telescope HPBW=12.4 arcmin). Data from the correlator since the MERLIN and VLA images were of comparable were recorded every 4 seconds. As with the VLA data, cor- sensitivity.Thisprocessisequivalenttocombiningthedata relatorlimitationsresultedinonlyparallelhandsofcircular setspriortoFouriertransformation intotheskyplane.The polarizationbeingcorrelated,thusnolinearpolarizationin- central quarters of these combination images were then de- formation is available. convolved with a conventional clean algorithm (H¨ogbom, Theinterferometricphaseswerecalibratedbyobserving 1974) resultingindeconvolvedimages25.6 arcsec onaside. thenearby0.4Jyphasecalibration sourceJ124129+622041 To demonstrate the equivalence of sky plane and vis- with a duty cycle of 8:2 minutes (source:calibrator). The ibility plane combination, we have performed a test with visibility amplitudes were calibrated against 3C286 and one 307-µJy source, J123649+620738, which lies 320 arc- B1803+784 with assumed flux densities of 14.774 Jy and sec almost due south from the field centre, just outside the 1.914 Jy respectively (Baars et al. 1977). Bandpass calibra- 10-arcmin field. The MERLIN and VLA datasets were sep- tionwasperformedusingB1803+784. Visibilitiescorrupted arately phaserotated totheposition of thistest sourceand by instrumental phase errors, telescope errors, or external thenaveragedintimeandtoasinglefrequencychannel.Av- interference wereflagged and discarded.Finally, thevisibil- eraging restricts the field of view to a small region around ities were re-weighted to reflect the differing sensitivities of the test source, but simplifies and compresses the datasets thevarioustelescopesinvolvedintheMERLINarray.Dueto byaconsiderableamountallowingdatacombinationpriorto thehighangularresolutionofMERLIN,itslackofshortin- Fouriertransformation.Fromtheaverageddatasets,a‘dirty terferometerspacings,andtheeffectoftheprimarybeamof map’and‘dirtybeam’werethenmadeandthemapcleaned theLovellTelescope,nosignificantproblemswithconfusing using the sky-plane combination method described above. sources outside the 10-arcmin field were encountered. How- Separately, the averaged data were then combined in the ever, the four strongest sources within the 10-arcmin field visibility plane and a second ‘dirty map’ and ‘dirty beam’ weremappedandtheircleancomponentssubtractedfrom werethenmadeandcleaned.Thetwocleanedimagesare theMERLIN data, prior to theMERLIN+VLAimaging of shown in Fig. 1; two compact components are embedded the remaining 88 weaker sources detected by the VLA. In withinaregion ofemission extendingover∼1.5arcsec.The addition,the‘subtracteddata’setwasusedfortheimaging two images are essentially identical; the difference between ofthe3-arcminfield.Thefrequencychannelsattheextreme them is noise-like with a peak difference of under 4 µJy endsofthepassband aresubject toaloss ofsensitivity due beam−1 in thecontoured area. tobandwidthlimitations onthemicrowaveradiolinks.The Wealsoconstructedamini-mosaicoftheinner3arcmin lowestrmsnoisevaluewasfoundwhenexcludingthelowest × 3 arcmin field (see Section 6) using thesky-plane combi- threeandthehighestchannel,resultinginafinalbandwidth nationtechniqueinordertosearchforadditionalsourcesbe- of 14 MHz. The rms noise achieved in naturally-weighted images from the MERLIN data alone was 5.9 µJy beam−1 lowtheVLA-alone40-µJy detectionthreshold.Inthiscase, however, 72 contiguous images were made in an 8×9 grid which is within 10 per cent of thetheoretical value. centredon theHDF,usinga pixelsizeof 0.0625 arcsec. We spacedthegridsothatthecentral410–412pixels(withina cleanedareaof512×512pixels)oftheimagesabuttedone 3 THE RADIO IMAGES against another so as to cover the field completely allowing for sky curvature. We stress that these images are not cen- 3.1 Data and image combination tredonexistingVLA-onlydetectionsasisthecasewiththe Since the correlators used for the observations of the HDF images derived for the 10-arcmin field. The image coverage and HFF were optimally configured for the two separate of the3- and 10-arcmin fieldsis illustrated in Fig. 2. arrays,theMERLINandVLAvisibilitydatasetsarefunda- Primary beam corrections for combination images mentallydifferentinstructure,containingdifferingnumbers within the the 10-arcminute field are small since they are of intermediate frequencies, frequency channels, and chan- dominatedbythe25-m antennasoftheVLAandMERLIN nel bandwidths. For this reason, combining the visibility which have a half-power beam width (HPBW) of ∼ 35 ar- datasetsintheaipssoftwarepackageprovedwhollyimprac- cmin at 1.4 GHz. The Lovell telescope has an HPBW of ticable, not least due to the size of the visibility datasets 12 arcmin but on a baseline to a 25-m antenna the com- which,incombination,provedfar toolargefor thesoftware bined HPBW is ∼ 20 arcmin (see Strom (2004) for the packageasimplementedtohandle.Thedataweretherefore derivation). With respect to a source at the field centre, combined in the sky-planeratherthan theuv plane. the flux of a source 5 arcmin distant is only depressed by Forallthe92radiosourcesdetectedbytheVLAinthe 1 per cent and 12 per cent for 25-m–25-m and 25-m–Lovell 4 T. W. B. Muxlow et al. 62 07 39.5 39.0 00) 38.5 0 2 J N ( O TI A N LI 38.0 C E D 37.5 Data-Plane Combination Image-Plane Combination 37.0 12 36 49.80 49.75 49.70 49.65 49.60 49.55 49.50 12 36 49.80 49.75 49.70 49.65 49.60 49.55 49.50 RIGHT ASCENSION (J2000) RIGHT ASCENSION (J2000) Figure 1. A comparison of cleaned images using MERLIN+VLA combination in the visibility (left) and image (right) planes. The contour intervalislinearwithalowestcontour valueof10µJybeam−1. baselines respectively. Wecompared the images from VLA- for theMERLIN+VLAcombination images in Table A1lie onlyandMERLIN+VLAcombinationsandestimatedthat, on the International Celestial Reference Frame (ICRF) to in the combination images, the measured fluxes 5 arcmin within 15 mas. fromthefieldcentrearedepressedbyonly∼6percentand for the majority of sources in the 10-arcmin field the effect is significantly less. The position uncertainties given in Ta- 4 THE OPTICAL IDENTIFICATIONS OF THE ble A1 take into account the local increase in noise due to RADIO SOURCES the various aberrations and the quoted flux densities listed in Table A2 have been corrected for primary beam effects. Williamsetal.(1996)describetheWFPC2observationsand Nocorrection hasbeen made tothecontouredcombination data reduction procedureand present a complete catalogue images shown in AppendixB. of objects detected within the HDF. In the 4.7 arcmin2 re- gion of the HDF, objects as faint as U = 27.6, B = 28.1, V = 28.7, and I = 28.0 (AB magnitudes) are detected at 3.2 Positional comparisons with previously the10σ level.InadditiontotheHDF,eightHSTexposures published 1.4 GHz images of one orbit were taken in I-band (F814) in flanking fields (HFF) immediately adjacent to the HDF (Williams et al. Withineachofthe‘postage-stamp’images,theskyistreated 1996). The point source sensitivity for each of these frames as flat. However, the image offset from the interferometer is about R = 25 mag. pointingcentreiscorrected for skycurvatureso asto avoid In the process of aligning the optical and radio fields, imagedistortionatlargeoffsets.Richards(2000)imagedthe wealsousedadeepCFHTI-bandframetakenbyBargeret entire 40-arcmin VLA primary beam using 16 facets of size al.(1999).Thisfieldis9arcminonasideandenclosesboth 14 arcmin × 14 arcmin. There is measurable sky distortion the HDF and HFF frames. The CFHT field also enabled neartheedgesofthesefacetswhichintroducepositionaloff- additionalopticalidentificationsoutsidetheHDFandHFF setsofupto0.2arcsecforindividualsources.However,after to be made. This field has a resolution of about 1.5 arcsec correction for these known effects, we find that the MER- and its limiting magnitudeis R ∼26. LINand VLApositions agree towithin 15 mas. The MER- LIN+VLA combination images are of significantly greater angular resolution than the VLA-only images of Richards 4.1 Radio/optical astrometric alignment (2000). Furthermore, at MERLIN resolutions the vast ma- jorityoftheseweakradiosourcesareresolved.Thepositions Inorder to makereliable optical identificationsof theradio quotedinTableA1areforthebrightestfeaturesinthecom- sources, it is important to align the HST images with the bination images, and for the reasons just given, differ from radioimageswhicharecloselytiedtotheICRF(seebelow). thosequotedinRichards(2000).Afullanalysisoftheastro- Although the fine guidance system of the HST is accurate metric alignment of this multiple small-image technique is toa few mas, intrinsicuncertaintiesin theHST GuideStar giveninSection4.1wherewefindthatthequotedpositions Catalogpositionsontheorderof1–2arcsecarethelimiting High resolution radio studies of HDF/HFF sources 5 derived from typical systematic phase performance and the calibration source to HDFseparation. 10 arcmin field As an internal consistency test, we compared the inde- pendentlyderivedMERLINandVLAradiopositionsforthe compactflat-spectrumAGNsourceJ123714+620823(which lies some 5 arcmin from the HDF field centre towards the edge of the 10-arcmin field); they agree to better than 12 Postage-stamp MERLIN/VLA maps around VLA detections and10masinRightAscensionandDeclinationrespectively. Thisisconsistent with thequotedphasecalibrator position 3 arcmin field errors in Patnaik et al. (1992). We are therefore confident thattheradiopositionsfortheMERLIN+VLAcombination imagespresentedinthispaperlieontheICRFtowithin15 mas. 4.1.2 Optical – radio alignment of the CFHT field Each HST WFPC2 frame typically contains too few radio detections to align the radio and optical images directly. An intermediate stage is thus required. We have therefore Contiguous images from MERLIN/VLA data alignedtheground-basedCFHTdeepI-bandimagecovering a9-arcminfieldcentredontheHDF(Bargeretal.1999)un- dertheradiodetections.TheCFHTimagehas,tofirstorder, already been corrected for geometrical distortion. However, afurthercorrectionwasmadeinordertooptimisethealign- mentofthisframewithrespecttotheradiosourcepositions and hence the ICRF. This was achieved by fitting the po- sitions of 36 galaxies identified with brighter radio sources Figure 2. Schematic of the image coverage in the 3- and 10- in the 10-arcmin radio field. Both 4- and 6-parameter fits arcmin fields. Only a few of the 92 ‘postage-stamp’ images are were performed. The 4-parameter solution fits for an x and indicatedforsimplicity. y shift, a rotation, and a stretch term. The 6-parameter fit allowsfornon-perpendicularx–yaxeswithafurtherstretch term. The 6-parameter solution was found to be no better source of error in tying the HST astrometric grid to the thanthe4parametersolutionsincethetwoaxeswerefound ICRF. tobeperpendiculartobetterthan0.01degrees.Weadopted the 4-parameter solution and applied these to positions de- rived from theCFHT frame. The fitting residuals in the outer parts of the CFHT 4.1.1 Radio astrometry frame(typicallyoutsidetheareaofboththeHDFandHFF) The position grid of the VLA HDF radio images is tied to showthattherearesmallbutsignificantdeparturesfromthe theradiosourceJ121711+583526 withanassumedposition model. The fitting residuals are shown in Fig. 3. Where it of R.A.12h 17m 11s.0202 and Dec.+58◦ 35′ 26′.′228 (J2000) was felt that the residuals showed a consistent offset over (Patnaik et al. 1992). This source has quoted positional er- a region in the outer parts of the CFHT frame, a further rors of 13 mas with respect to theICRF. Subsequently,the empirical positional shift correction was made. These final position of the compact core of this source has been estab- corrections are also marked in Fig. 3. lished at higher radio frequencies to an accuracy of order 1 mas with respect to the ICRF (Beasley et al. 2001). How- 4.1.3 Alignment of CFHT and HDF/HFFWFPC2frames ever, the object shows significant jet emission, especially at 1.4 GHz, and positional blending between core and jet After applying positional shifts from the 4 parameter solu- componentsresultinanoverallradiopositionaluncertainty tion (derived from the whole of the CFHT frame), the rms of ∼10 mas. The accuracy of transferring the position of ofthefittedresidualsinthecentralpartoftheimage,which J121711+58585 to the position of the VLA HDF images is overlies the 3 HDF frames, was found to be 66 mas. For much better than 50 mas, derived from an estimate of typ- this sub-region only, a small modification was made to the ical long-term systematic phaseerrors and the angular sep- CFHT shift parameters in order to optimise the optical to aration in the sky between J121711+58585 and the Hubble radio alignment within the HDF itself resulting in a reduc- fields. tion of the rms fitted residuals to 41 mas. The rms of the The position of the compact MERLIN phase calibra- fitted residuals for the inner flanking fields (within 2.5 ar- tion source, which lies less than 40 arcmin from the HDF cminoftheHDFpointingcentre)wasfoundtobe118mas. fieldcentre(J124129+622041,R.A.12h41m 29s.589115Dec. For the outer flanking fields the rms of the residuals was +60◦ 20′ 41′.′32402 (J2000), has been established to lie on found to be143 mas. the ICRF to better than 1 mas (Beasley et al 2001). The OpticallycompactgalaxiesineachWFPC2framewere error in transferring theposition of J124129+622041 to the thenregisteredoverthesamegalaxyinthepositionallycor- position of the MERLIN images is less than 5 mas, again rected CFHT image. By this means, the WFPC2 frames 6 T. W. B. Muxlow et al. Table 1.Astrometricalignmenterrorsinthe10-arcminfield. RegistrationError Sub-Region of the 10-Arcmin Field HDF InnerHFF OuterHFF BeyondHFF Radio⇔ICRF (MERLIN⇔VLA⇔ICRF) <15mas <15mas <15mas <15mas Optical⇔ICRF (MERLIN+VLA⇔CFHT⇔HST) <50mas 50-100mas 100-150mas 150-250mas sources stronger than 40 µJy (5.3σ) detected in the VLA- only dataset and lying within the 10-arcmin field centred on theHDF. To repeat, for each source combination MER- LIN+VLA ‘postage-stamp’ images were made with a de- convolvedarea25.6×25.6 arcsec2 aroundtheVLAposition. Three sizes of restoring beam were employed: the formal fitted beam of 0.204×0.193 arcsec2 with major axis posi- ds) tion angle –6◦, and larger circular beams of 0.3 arcsec, and n o 0.5 arcsec. The complete list of source details is given in c se Tables A1 and A2, and the radio structures at the angu- c ar lar resolution shown in column 5 of Table A1 are displayed n ( in Fig. C1, overlaid on the astrometrically-aligned optical o ati images. The optical images are either WFPC2 HDF/HFF n frames or, for those regions outside the HFF, the CFHT cli De as frame. The additional source information found in the cen- m tral 3-arcmin field is presented in Table 2 and discussed in 0 00 Section6.ThehighresolutionoftheHDF/HFFobservations 1 set allowsustoconcentrateoncharacterisingthephenomenare- Off sponsible for radio emission; these may coexist with other processes in thesame host galaxy. Right Ascension (arcseconds) 5.1 Classifying the radio structures Figure 3. Fitting residuals for the CFHT frame (Barger et al. Althoughfew oftheseµJy radiosources areappreciably re- 1999);theHDFandHFFWFPC2framesareshownassolidlines. solved by the 2-arcsec beam of the VLA A-array image, Circles and bars mark the residual offsets from the 4-parameter fittedsolutionforanumberofradiosourceswithcompactnuclear virtually all are resolved by the MERLIN+VLA combina- components associatedwithcompact optical galaxies.Arrowsat tion showing that they have angular sizes in the range 0.2 gridintersections markthederiveddistortiontermsusedtocor- to 3 arcsec, typically smaller than the sizes of the optical rect galaxy positions in the outer part of the CFHT frameafter galaxyimages.Fig.4showstheobserveddistributionofan- applyingthe4-parametersolutions.A1000masscaleforthebars gular sizes. The structural description scheme adopted in andarrowsisshownatbottom right. Table A2is as follows: FRI : Fanaroff & Riley (1974) Type I ‘classical’ double were aligned with the radio frame and therefore the ICRF. structure. Theopticaltoradioregistrationerrorsarestillthedominant sourceoferrorsinthisprocedure.WithintheHDFitself,the WAT : Wide-Angled-Tail‘classical’ double structure. residualoptical registration error isless than50 mas, rising to approximately 120 mas in the inner parts of the HFF, C : Compact component at 0.2-arcsec resolution. and to approximately 150 mas at the edge of the HFF. At the edge of the CFHT frame the registration error is ∼250 C1E : Compact component + one-sided extendedemission. mas. These astrometric errors are summarised in Table 1. CE : Compact component + two-sided extendedemission. E :Extendedemissionwithnocompactcomponent.Note 5 THE 10-ARCMINUTE FIELD that most of theE sources havesub-galactic dimensions. In this section we present and discuss the detailed radio structures found for the complete sample of 92 weak radio + : Low surface-brightness emission lies beyond that re- High resolution radio studies of HDF/HFF sources 7 Table 2.1.4-GHzradiosourcesdetected at≥7σ with0.5-arcsecresolutioninthe3-arcminfield.Allsourceswerealsodetected bythe VLAaloneat1.4GHz(seeTablesA1andA2). Name P1.4 S1.4 Size P.A. Position(P) Other (µJybeam−1) (µJy) ′′×′′ ◦ (J2000) Information J123636+621320 29 50 (0.66×0.46)±0.13 75±30 123636.8982+621320.320 J123642+621331 348 472 (0.339×0.266)±0.001 103±1 123642.0959+621331.410 V8.4I J123644+621133 621 791 (0.317×0.166)±0.001 6±1 123644.3894+621133.110 V8.4H J123646+621448 79 101 (0.425×0.255)±0.001 159±1 123646.0607+621448.728 V8.4 J123646+621404 142 199 <0.42×<0.42— —— 123646.3352+621404.694 V8.4HI J123649+621313 31 134 (1.46×0.65)±0.16 80±6 123649.6830+621312.885 V8.4HI J123651+621221 56 130 (0.84×0.40)±0.07 88±5 123651.7238+621221.408 V8.4HI J123652+621444 106 122 (0.29×0.19)±0.06 110±20 123652.8865+621444.067 V8.4H J123653+621139 41 53 (0.43×0.23)±0.16 112±19 123653.3754+621139.614 V8.4I J123656+621207 27 30 <0.64×<0.64— —— 123656.5570+621207.446 H J123701+621146 29 130 (1.36×0.60)±0.18 6±7 123701.5745+621146.738 V8.4I V8.4 –alsodetected bytheVLAaloneat8.4GHz H–radiosourcelocatedintheHubbleDeepField I–radiocontours overlapthe3σ positionboxofanISOdetection Theclassification schemeadoptedfor theradio sources No. is as follows: 20 AGN/AGNCandidate:Weclassifyasourceasan‘AGN’ ifithasaaflatorinvertedradiospectrumaccompaniedby a compact core and one or two-sided extended structure1. Sourceswithonlysomeofthesecharacteristicsareclassified 15 as ‘AGN candidates’. Starburst/Starburst Candidate:Weclassifyasourceas a ‘Starburst’ if it has a steep radio spectrum, is extended 10 on sub-galactic scales (often aligned with the galaxy major axis) and is also detected by the Infrared Space Observa- tory (ISO) (Goldschmidt et al. 1997; Aussel et al. 1999). Thecorrelation between radio andIRluminosity is soclose 5 (Carilli & Yun 1999; Garrett 2002) that an ISO detection, especially at 15µm,isastronglystatistically significant in- dicator that at least the proportional fraction of the radio emissionisalsoofstarburstorigin.Sourceswithonlysomeof thesecharacteristicsareclassifiedas‘StarburstCandidates’. 1 2 3 4 5 LAS (arcseconds) Three high-redshift (z > 2) starburst systems which show evidenceforanadditionalembeddedAGNcomponent,such Figure 4. Distribution of largest angular sizes for 91 of the 92 asacompactcoreorhardX-rayemission(seeTableA2),are radiosourcesstudiedinthe10-arcminfieldandlistedinTableA2. designated as S*. Alexander et al. (2002) discuss the likeli- Theremainingsource,J123644+621133,hasalargestangularsize of12arcsec. hoodof15-µmsourceswithhardX-rayemissionharbouring AGN. gion shown in the MERLIN/VLA image (detected by the Unclassified:Sourceswithcomplexradiostructureswhich VLA alone). could be associated with either AGN or starburst activity arelisted as ‘unclassified’, for exampleif theradio emission There are very few radio structures typical of high lu- ismoreextendedthanopticalemissionandthereisadearth minositysources(i.e.twinlobesoneithersideoftheparent of other evidence. galaxy) and those that are found are associated with the Appendix B gives a source-by-source summary of de- relatively stronger, mJy, sources. The vast majority of µJy tections in the10-arcmin field. sources in the 10-arcmin field have radio structures with sub-galactic sizes. Wehavecomparedour1.4-GHzfluxdensitieswiththose measured by the VLA at 8.4 GHz (Richards et al. 1998) to 1 J123725+621128 has a steep spectrum at VLA resolution but deriveradiospectralindicesforoursample(seecolumn5in theMERLIN+VLAimagesshowthatitisunmistakablyanAGN Table A2and table 5 in Richards 2000). withlargeradiolobes 8 T. W. B. Muxlow et al. 1100 88 66 m a e 44 b y/ J o 22 cr mi 00 --22 --44 20 15 10 m a 5 e b y/ 0 J cro -5 mi-10 -15 -20 -25 21 22 23 24 25 26 27 28 29 HDF I Magnitude Figure 5. (Upper) radio brightness at 1.4 GHz smoothed to 1-arcsec resolution at the position of known galaxies, plotted as black + signs against the WFPC2 galaxy I magnitude, in 1-magnitude bins. The control data are displayed as grey × signs and incorporate a random7-arcsecshiftappliedtotheradiopositionsinboth R.A.andDec..(Lower)datafortheknowngalaxiesshownunbinned. 6 THE THREE-ARCMINUTE FIELD detections with flux densities > 40 µJy (total); they can all be regarded as secure and thus the sample is com- 6.1 Mapping and analysis plete to this limit. The positions and sizes of these eleven sources were found by fitting Gaussian components in the Theinnermost 3.41×3.84 arcmin2 of theradio field was ex- imageplane.Ninesourcesaresignificantlyresolved,andone amined in more detail, and is referred to as the ‘3-arcmin (J123656+621207) is too weak for its size to be measured field’. A grid of 8×9 maps was made from the calibrated reliably. One object in Table A1 (J123646+621445), which MERLIN and VLA data sets as described in Section 3.1. We also restored the clean components for thefour bright also lies in the 3-arcmin field, is so spatially resolved as to fall below the 27 µJy beam−1 detection threshold and thus sourcesinthisregion whichhadalreadybeensubtractedas does not appear in Table 2. This imaging exercise there- described in Section 2.2. fore revealed no new sources in the 3-arcmin field in the Thenoisefluctuationsatlowbrightnesslevelsarehigher brightness range 27–40 µJy beam−1. Note however that at than expected for a pure Gaussian distribution. A number the same time as reducing the detection threshold from 40 offactorsarelikelytocontributetothisexcess,asdiscussed (VLA-only)to 27 µJy beam−1, wealso increased theangu- in Section 2.1. These includepointing fluctuations,residual lar resolution from 2 arcsec (VLA-only) to 0.5 arcsec. The ripplesduetosourcesintheouterpartsoftheprimarybeam slope of the integral source counts around 40 µJy is –1.4 and residual side-lobes of the brighter sources in the field. (Richards 2000) and one would therefore expect to find ∼8 Sincesucheffectsarelikelytoproduceasmanynegativede- additionalsourceswithin the3-arcminfield inthefluxden- viationsaspositive,wehaveadoptedapragmaticapproach sityrange27–40µJy,includingonecompactAGN.Sincewe to establishing real source thresholds. do not detect any new sources, we infer that most objects Initially each of the 72 maps was examined for regions weaker than 40 µJy are heavily resolved with a 0.5-arcsec with brightness above 25 µJy beam−1; 42 of them had no beam, do not contain compact radio components >27 µJy suchpeaks.Thebrightnessdistributioninthese‘source-free’ andmusthaveangularsizes>1arcsec.Weascribethefail- maps was statistically analysed. The rms noise level with a uretodetectanadditionalcompact AGNsourcetochance. 0.5-arcsecrestoringbeamis3.9µJybeam−1withnopositive The planned extension of the investigation to the complete or negative peaks above ±7σrms. The noise level with the mappingofthe10-arcmin field(seeSection10)will provide smallest 0.2-arcsec restoring beam is 3.3 µJy beam−1 with additional constraints on this interpretation. no peaks above ±8σrms. In the other 30 images, positive regionsabovetheselevels(27and25µJybeam−1at0.5-and 0.2-arcsec resolutions respectively) are therefore considered 6.2 Statistical comparison with HDF galaxies reliable detections. Eleven positionshavepeaksabove27µJy beam−1 (see Forthepart of the3-arcmin field which overlies thecentral Table 2). All these sources coincide with VLA 1.4-GHz HDFareaitself,theMERLIN+VLAimagesweresmoothed High resolution radio studies of HDF/HFF sources 9 to 1-arcsec resolution, after excluding all 11 significant in- 7.2 Optical identifications and redshifts dividualsourcedetections(pointsabove+27µJy beam−1). Sixty-one of the 92 sources (65 per cent) in the 10- The radio brightnesswas then measured at thepositions of arcminfieldhavemeasuredspectroscopic orestimated pho- all catalogued HDFgalaxies (Williams et al. 1996). The re- tometric redshifts (at the time of performing this analy- sultsareshown inFig.5,binnedbyI-bandmagnitude.The sis). Fig. 6 shows the redshift distribution for each of the figureshowsthatsourcesoveranorderofmagnitudeweaker three classifications. Note that the highest redshift source, than our detection threshold (40 µJy), are statistically as- J123642+621331, appears to contain a compact AGN. It is sociated with galaxies brighter than I ∼23 mag. A control clear that it is only the starburst systems which extend to sample which incorporates a random 7-arcsec shift applied redshiftsinexcessof2.Forthosesystemswithredshiftsless to the radio measurement positions, in both R.A. and Dec. than2,wehavecomparedtheredshiftdistributionsforeach with respect to the optical galaxies shows no excess of de- classification. tected brightness. Thus the source population down to a The AGN and unclassified systems have median red- few µJy shares similar properties with the 10-arcmin field shifts of 0.91 and 0.85 respectively, and a Kolmogorov- sample, beingidentifiedstatistically with thebrighterHDF Smirnov goodness of fit test shows that there is a 79 per galaxies. centprobabilitythattheyaredrawnfromthesamepopula- tion. Conversely, the starburst systems have a significantly lower median redshift of 0.56 and there is only a 7 per cent probability that they are drawn from the same population 7 PROPERTIES OF THE RADIO SOURCES as the AGN systems. Thus it appears that majority of the 7.1 Source sizes starburst systems are associated with galaxies at a lower redshift than the AGN sources. On this basis, the majority As summarised in Fig. 4, the great majority of the µJy of the unclassified sources are most likely to be AGN dom- source population have radio angular sizes in the range inated systems with some starbursts included. It is worth 0.2 arcsec to 3 arcsec. Only one source in the sample of 92 noting, however, that nearly half the starburst systems ap- objects is unresolved (J123714+620823). Only two sources pearin twoadjacent histogram binscovering0.3≤z <0.7. (J123644+621133 and J123725+621128) show classical ra- The excess of sources in these bins is correlated with the diostructuresusuallyassociatedwithhighluminosityAGN, redshiftsoftwomajorclustersfoundbyCohenetal.(2000) and both of these are representative of the tail of the mJy in their Caltech Faint Galaxy Redshift Surveyof theHDF. source population rather than that of theµJy sources. One The histogram of starburst galaxies and starburst can- otherAGNsystem,(J123652+621444),showsevidencefrom didatesalso shows evidencefor a tail extendingto redshifts WSRT observations of a possible one-sided low surface- in excess of 4 (although thehighest redshift candidate may brightness jet structure extending for some 30 arcsec with alsocontainanAGN).Fig.9showsthatmanyofthesehigh an implied size of around 100 kpc. redshift starburst systems have been identified as sub-mm Notwithstanding that perhaps a total of 10 per cent of sources (Chapman et al. 2004a, Chapman et al. 2004c sub- low-surfacebrightnessextendedsourceshavebeenmissedby mitted). In addition, two are optically faint and extremely theoriginalVLA-onlysurvey(seeSection8.1),thegreatma- red, suggesting that they are dust-enshrouded.Of the thir- jorityofobjectsinthe10-arcminfieldhaveradiostructures teenopticallyfaintradiosourcesinthe10-arcminfield,only extendedpredominantlyongalacticandsub-galacticscales. two are classified as AGN or AGN candidates. Thus, al- Their radio structures have been defined and discussed in thoughthemajorityofstarburstsystemsareassociatedwith Section5.1andAppendixBrespectively.Thetypicalsource galaxiesbrighterthanI=25andatredshiftslessthantwo,it angular scale appears similar down to 27 µJy and even be- appearsthatwearebeginningtosampleanadditionalpop- yond(see Section 6). ulation of high redshift systems. In addition, some of these The fact that the typical angular size of µJy sources highredshiftsystemsmaybecomplex,containingbothdust- is ∼1 arcsec may have implications for future deep surveys shrouded starbursts and embedded AGN (see Appendix B with the Square Kilometre Array (SKA) which could en- and Section 9). counter a natural confusion limit. If the slope of the source counts at 1.4 GHz remains as steep as −1.4 then surveys, withlimitingfluxdensities100timesfainterthanthepresent 7.3 Structural classification and source flux one,willreachsurfacedensities>500sourcesarcmin−2(sim- density ilar to the surface density of optical galaxies in the HDF). If the typical source size remains ∼1 arcsec then the pro- Fig. 7 summarises theclassification of the92 sources in the portion ofskycovered withradio sources,C, will be>0.14. 10-arcmin field in each of three flux density ranges (40–55 If C > 0.05 significant blending of sources begins to oc- µJy,56–105µJy,and106–6000 µJy);thesecontainapproxi- cur(Fomalontetal.2002)andobviouslyifC >0.14alarge matelyequalnumbersofsources:30,30,and32respectively. amountofsourceblendingwouldresult,regardlessofthesize It is immediately apparent that the proportion of starburst ofthesynthesizedobservingbeam.Thissimpleinferencede- and starburst candidate systems rapidly increases with de- pends, however, on two large extrapolations (source counts creasingfluxdensitybelow100µJy.Inthehighestfluxden- andsizes).TheopticalHDFisnotsignificantlyconfusedand sity range, there are only around 20 per cent starburst sys- it could be, for example, that the fainter radio sources are temswitharound40percentAGNand40percentunclassi- smaller, beingassociated withthefainter,smaller, irregular fiedsources.Inthelowestfluxdensityrange,theproportion galaxies;thiscouldreduceC tobelowthenaturalconfusion of starburst systems has risen above 70 per cent while the limit. proportion of AGN systems has dropped to less than 5 per 10 T. W. B. Muxlow et al. Figure 6. Redshift distribution for those sources in the 10-arcmin field with measured spectroscopic redshifts (black) and estimated photometricredshifts(white). 100% Unclassified 50% AGN/AGN Candidate Starburst/Starburst Candidate 0% 10uJy 100uJy 1mJy 10mJy Figure7.Distributionofsourceclassificationsfortheobjectsinthe10-arcminfieldineachofthreefluxranges(40–55µJy,56–105µJy, &106–6000 µJy)containing30,30,&32sourcesrespectively. cent.Fomalont etal.(2002) notethatintheirsampleof ra- lation of steep radio spectrum starburst systems begins to diosourcesat8.4GHz,theaverageradiospectrumforthose dominate. sourcesidentifiedwithopticalcounterpartsbecomessteeper There is, however, a selection effect which could re- for fainter sources (S8.4 <35 µJy). These authors also state ducethenumbersofAGNidentifiedatlowfluxlevels.AGN that objects fainter than I = 25.5 mag predominantly have systems are easily identified if they have flat or inverted steep radio spectra. Thus it is clear that at flux densities radio spectra. Radio spectral information is derived from below around 50 µJy at centimetric wavelengths, a popu- the present 1.4-GHz observations and those at 8.4 GHz

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