Measurement of B+ -> K+ tau- tau+, B -> K* l+ l- and B -> K pi+ pi- gamma decays at BABAR PDF
Preview Measurement of B+ -> K+ tau- tau+, B -> K* l+ l- and B -> K pi+ pi- gamma decays at BABAR
Measurement of B+ K+τ+τ , B K l+l and − ∗ − → → B Kπ+π γ decays at BABAR − → 7 Benjamin Oberhof∗† 1 LNFINFN,Frascati,Italy. 0 E-mail: [email protected] 2 n a We present some recent measurements of rare flavor-changing neutral current B decays, using J 2 datacollectedwiththeBABARdetectoratthePEP-IIe+e− collideratSLAC.First,wesearchfor therareprocessB+ K+τ+τ andwedonotfindevidenceforasignal.Themeasuredbranching ] → − x fraction is (1.31+00..6661(stat.)+00..3255(sys.))×10−3 with an upper limit, at the 90% confidence level, e of B(B K+τ+−τ )<2.−25 10 3. We then study the lepton forward-backward asymmetry - → − × − p A andthelongitudinalK polarizationF intheraredecaysB K l+l ,wherel+l iseither FB ∗ L ∗ − − e → h e+e− or µ+µ−. We report results for both the K∗(892)0l+l− and K∗(892)+l+l− final states, [ as well as their combination K∗l+l−, in five disjoint dilepton mass-squared bins. Finally, we 1 measurethetime-dependentCPasymmetryintheradiative-penguindecayB0 K0π π+γ. The v → S − 1 Kππ resonant structure is extracted by an amplitude analysis of the mKππ and mKπ spectra in 6 B+ K+π π+γ decays. We use these results to extract the mixing-induced CP parameters of − 3 → theprocessB0 K0ρ0γ fromthetime-dependentanalysisofB0 K0π+π γ decaysandobtain 0 → S → S − 0 S = 0.18 0.32(stat.)+0.06(syst.). 1. KS0ρ0γ − ± −0.05 0 7 1 : v i X r a XIIIInternationalConferenceonHeavyQuarksandLeptons 22-27May,2016 Blacksburg,Virginia,USA Speaker. ∗ †onbehalfoftheBABARcollaboration c Copyrightownedbytheauthor(s)underthetermsoftheCreativeCommons (cid:13)Attribution-NonCommercial-NoDerivatives4.0InternationalLicense(CCBY-NC-ND4.0). http://pos.sissa.it/ MeasurementofB+ K+τ+τ−,B K∗l+l−andB Kπ+π−γ decaysatBABAR BenjaminOberhof → → → 1. Introduction Flavor-changingneutralcurrent(FCNC)BdecaysoftheformB K( )X whereX =llorππγ ∗ → and l =e,µ are highly suppressed in the Standard Model (SM). The lowest-order SM processes contributing to these decays are the photon and Z penguins and theW+W box diagrams. These − decays can provide a stringent test of the SM and a fertile ground for New Physics (NP) searches as virtual particles may enter in the loop and allow us to probe new physics at large mass scales. Detailsandreferencesforeachofthedecaymodescoveredinthisworkaregiveninthefollowing sections. We use data recorded by the BABAR detector at the PEP-II asymmetric-energy e+e− storage rings operated at the SLAC National Accelerator Laboratory. The data sample consists of 424 fb 1 of e+e collisions recorded at the center-of-mass (CM) energy √s=10.58 GeV. The cross − − sectionforBB¯-pairproductionattheϒ(4S)isσBB¯ 1.1nbcorrespondingtoadatasampleofabout ∼ 471 106 BB¯-pairs[1]. AdetaileddescriptionoftheBABARdetectorisgivenelsewhere[2]. × 2. SearchforB+ K+τ+τ − → The predicted decay rate for B+ K+τ+τ in the SM is in the range 1 2 10 3 [3, 4]. − − → − × ThisdecayisthethirdfamilyequivalentofB+ K+l+l−,previouslymeasuredatBABAR[5]and → other experiments [6], which shows some tension with the SM expectations [7], and may provide additionalsensitivitytonewphysicsduetothird-generationcouplingsandthelargemassoftheτ lepton. An important potential contribution to this decay is from neutral Higgs boson couplings, wherethelepton-lepton-Higgsverticesareproportionaltothesquaredmassoftheleptonsinvolved [8]; thus,inthecaseoftheτ lepton,suchcontributionscanbesignificantandcouldalterthetotal decayrate. WeusehadronicBmesontaggingtechniques,whereoneofthetwoBmesons,referred to as the B , is reconstructed exclusively via its decay into one of several hadronic decay modes tag [9]. We consider only leptonic decays of the τ, i.e. τ+ e+ν ν and τ+ µ+ν ν , which re- e τ µ τ → → sults in three different final states with an ee , µµ or an eµ pair. Simulated Monte Carlo (MC) signal and background events, generated with EvtGen [10], are used to develop signal selection criteria and to study potential backgrounds. We select B candidates using ∆E =√s/2 E tag − B∗tag andm = s (cid:126)p 2,whereE and(cid:126)p aretheCMenergyandthree-momentumvectorofthe ES − ∗B B∗tag ∗Btag Btag respect(cid:113)ively. We require a properly reconstructed Btag to have mES consistent with the mass of a B meson and 0.12<∆E <0.12 GeV. B+ K+τ+τ signal events are required to have a − − → chargedB candidatewithm >5.27GeV/c2 andanon-zeromissingenergy,E ,givenbythe tag ES miss energy component of p . Continuum events are further suppressed using a multivariate likeli- ∗miss hoodselector,basedonsixevent-shapevariableswhichremovesmorethan75%ofthecontinuum events while retaining more than 80% of (signal and background) BB¯ MC events. Signal can- didates are then required to possess exactly three charged tracks satisfying particle identification (PID) requirements consistent with one charged K and an e+e , µ+µ , or e+µ pair. Further- − − − more, events with 3.00<m <3.19 GeV/c2 are discarded to remove backgrounds from J/Ψ l+l − resonance. TheinvariantmassofthecombinationoftheK withtheoppositelychargedleptonmust also lie outside the region of the D0 mass, i.e. m <1.80 GeV/c2 or m >1.90 GeV/c2, K l+ K l+ − − to remove events where a π coming from the D0 decay is misidentified as a muon. At this stage, 1 MeasurementofB+ K+τ+τ−,B K∗l+l−andB Kπ+π−γ decaysatBABAR BenjaminOberhof → → → remaining backgrounds are primarily BB¯ events in which a properly reconstructed B accompa- tag nied by a B D( )lν , with D( ) Kl ν which have the same detected final state particles as sig ∗ l ∗ (cid:48) l → → (cid:48) signalevents. Amulti-layerperceptron(MLP)neuralnetwork[11],witheightinputvariablesand one hidden layer, is employed to suppress this background. The MLP is trained and tested using randomlysplitdedicatedsignalMCandB+B backgroundevents, foreachofthethreechannels. − The results are shown in Fig. 1 (left) for the three modes combined. We require the output of the neuralnetworkis>0.70forthee+e andµ+µ channelsand>0.75forthee+µ channel. This − − − requirementisoptimizedtoyieldthemoststringentupperlimitintheabsenceofasignal. AB tag yieldcorrectionisdeterminedbycalculatingtheratioofdatatoB+B MCeventsbeforethefinal − MLP requirement. This correction factor is determined to be 0.913 0.020 and is applied to the ± MC reconstruction efficiency for both signal and background events (Fig. 1 (right)). The most important contributions to the systematic uncertainty include the uncertainty associated with the theoretical model which is evaluated by comparing signal MC sample based on the LCSR [12] theoreticalmodeltothatof[13]anddeterminingthedifferenceinefficiency,whichisfoundtobe 3.0%. Additional uncertainties on ε and N arise due to the modeling of PID selectors (4.8% sig bkg for e+e , 7.0% for µ+µ , and 5.0% for e+µ ) and the π0 veto (3.0%). The level of agreement − − − betweendataandMCresultsinasystematicuncertaintyof2.6%. The yields in the e+e and µ+µ channels are consistent with the expected background es- − − timate. The signal yield in the e+µ channel is about twice the expected rate, which corresponds − toanexcessof3.7σ overthebackgroundexpectation. Kinematicdistributionsinthee+µ donot − give any clear hint of signal-like behavior or of systematic problems with background modeling. When combined with the e+e and µ+µ modes, the overall significance of the B+ K+τ+τ − − − → signalislessthan2σ,andhencewedonotinterpretthisasevidenceofsignal. Nevertheless,under the assumption that the excess observed is signal, the branching fraction for the combined three modes is B(B+ K+τ+τ )=(1.31+0.66(stat.)+0.35(sys.)) 10 3. The upper limit at the 90% → − 0.61 0.25 × − confidencelevelisB(B+ K+τ+τ )−<2.25 1−0 3. − − → × ergies greater than 50 MeV, a total CM energy greater e+e� µ+µ� e+µ� t1the0ra0ncalun1s0dt0e1r6Ms0neVoMt,eeVaxn/pcdl2i,cainatrlyeinarvesajsreoicactnieatdte.mdAawsdsidtrihtainoBgntiaanglgcdabaleuotrgwihmeteeenr- BaBar preliminary BaBar preliminary N✏Nisiboiigbk(sg⇥10�5) 419.1.4±±4025..24±±02..19 415..38±±023..924±±03.1.2 529..12±±029..228±±03.2.5 particles may originate from other low-energy particles Significance(�) 0.6 0.9 3.7 � � in background events. We therefore define Ee⇤xtra to be theenergysumofallneutralclusterswithindividualen- TABLEI:Expectedbackgroundyields,Ni ,signale�cien- bkg ergygreaterthan50 MeVthatarenotusedintheBtag cies,✏isig ,numberofobserveddataevents,Noibs,andsigned reconstruction. significance for each signal mode. Quoted uncertainties are statisticalandsystematic. Thenormalizedsquaredmassofthe⌧+⌧�pairisgiven bys =(p p )2/m2, wherep andp arethe B Bsig� K B Bsig K four-momentumvectorsofB andofthekaon,respec- sig tively,inthelaboratoryframe. Thelargemassofthe⌧ FIG.2: (coloronline)MLPoutputdistributionforthethree FIG. 3: (color online) Invariant-mass distribution of the extrapolationofthecombinatorialbackgroundfromthe lterpibtuontisonintosiglanragleevvaelnutess.kiAnemreaqtuiicraelmlyenlitmoitfssBthe>s0B.4d5isis- Fsdiiiggsnturairlbeucht1iaon:nnieMslssLhcooPwmnboi(nudetadps.uhetTdhd)eiwsBittr+hiba!urbtiiKotrn+ar⌧y(+ln⌧eo�frtm)siagflnoizaralttMiohnCe. threeKasll�isg⇡ign+naapllasicrehlienacnttihnoeneBlcsr+itce!oriamDab0r`ei+na⌫ep`dp,Dl.ie0dT,!ehxKece�pB⇡t++fosratmhepKlfie+nsaτalf+treeτr- mshEaSpesidfreobmanMd,Ca.sTbohtehreufsoeret,heoncloymobnineastyosrtiaemlbaatcickgurnoucenrd- apApltietdh.ispointintheselection, remainingbackgrounds siT(ghhanetacdhlaeMtda)C(pploudisnismtst)rEiSab-rpueetoaivokeinnrlgaisi(dssoohlnidotwlhinenee)(xbdpaaeccskthgedreodcuo)nmdwbciiotnnhattraoirbribua-iltrarynqoonurirtmehmeaelenixztpaoetncitotehnde.McToLmhPbeionduaattpotuarita(.lpT(ohhieantdtcasht)eada()rpepoliounstvse→)mraElraSe-iopdveeaorknlianitdgh−e teastinimtyatoenistheveaBlutaatgedy,ieulsdinagnadscimomulbaitneadtoMriCalsbaamcpklgerocoumnd- are primarily BB events in which a properly recon- etxiopnesc.ted combinatorial (hatched) plus mES-peaking (sol(isdolildinlien)e)bbaacckkggrroounudndconctorinbturtiibonust.ions. Invariant-mass posedofbackgroundeventswiththesameluminosityas sDs(aMttnar(d⇤utL)ecPot!pne)aednrhKtBeiiucd`tlrad0ea⌫gesl`n0iasnslaeaanstyciwdgecrono,tramhkilsupes[eav3mne4hin]pae,tvdlsowe.ybieAttydhhemBteosusiiaglgstmhuit-!pelapinydrDeeperstu(se⇤ptc)tet`hvre⌫aicd`sre,ipbfiawtabnrcilaotkelhns-- cdwiarinisnhttdteerhrirBbeeiau0dNBtaaiB0rtoaeBpnsaa=(aiprrmsip4gp7linhi1leet⇥⌥,d)a(,o14se0fsSxu6t)mchisdeeienptKchgtae−fyeotqsπo,ruta+atanlhldppenaruNfioimrdniubiancelitrsBriooet+nfhqBeuo→finBrBueDmpm+aB0beiler�+nsrtνol,nDth0wtweo→hitMMihcohKCLuc−tPosinπumosn+iuubsttllcapisntoumidnotia.nntir,gnotllytohsoeaaflmlBfionw+paBllef�ossrigeaavnfeatdnel-atrrsteaa(g-l>idlorsn9iiv.6ge%nTn)ahcalioscsrcercoeolrcerdtrciienotcing-on tettthhea↵rieeenmcdtfityiannotaeaafldsvsssoataigorcmnyiabipantellegeed1.�t.A2hwc%eciitecvhnoaacuntlyuhndeteai1nont.hfg6de%tfbhoo,arerecrtBtekhisgcteparagoelacunymtntiieoivd-ledcdeloeyslcr.troiiesmTrlraeheavtcetiateoulinuoins,nacttdeoheerdne-- ground. Theinputvariablesare: theanglebetweenthe ofdataeventspassingthesignalselectioonbs. Thesignalef- tionfactorisdeterminedtobe0.913 0.020,wherethe byreweightingthesB distributionofthededicated sig- kaon and the oppositely charged lepton, the angle be- ficiency,✏i ,andthebackgroundestimate,Ni ,arede- uncertaintyisstatisticalonly,andis±appliedtotheMC nalMCsampletotheLCSR[31]theoreticalmodeland tween the two leptons, and the momentum of the lep- terminedsfiogreachmodefromthesignalandbbakgckground 2 reconstructione�ciencyforbothsignalandbackground tothatofRef.[36]anddeterminingthedi↵erenceinsig- ton with charge opposite to the K, all in the ⌧+⌧� MCyieldsafterallselectionrequirements. events. nale�ciency,whichiscalculatedtobe3.0%. Additional rgtthoelesnet,baafenrntagwdmleeteehn,beewttihwnheviecaeBhrnisaiigtsnhtaecnmadKlcaustshlaaenotfdeodtpthphaeoessKilpto+eBwl`syi-�gmc�hpoaamprirKge,ne;adtultllmheienptlateohpnne--, bBpaetFacagkkogsrraoaneuatdnchtdthheemuvsoBendpterms,oadtNshusabc,ktegahancadovdneicssoiatsmrtipsbbruioontpfaioetntrowlryioianlreccbmoomaEncpSkstogrnrwuoechuntintecshdd: Duresq0iTn`u+hgire⌫tin`hB,geDtsoaagn0me!yetiersalKidcgk�nias⇡tlo+asselscaloeotcnistctfirryooonslpsdis-oacinshmceuipcnsklsseete,eddawdauhbsioiconfhvgleei,spabtsoueBntle+wcPtiI!etDhd uiaonnfngdcaegor5rft.ea0ePi%mnItDeifenosrtseoebln+eectµt✏w�oseirg)esnaa(nn4ddd.a8tt%Nahebafkon⇡grd0aervM+iestCeeo�di,(su37e.e0.v0%ta%ol)u.tafhotTeerhdmµeu+olsedµiven�elg-l, CneMurafrlanmeet.woFrukrtahreermEoe⇤xrter,atahnedfinthaelirnepsuidtuvaalreianbelregsy,toEtrehse, erevceonntsstcroumctpedoseBdofccoanntdiinduautmesawnhdicBhBdoevneonttspwroitdhumceisa- a1.n9d0rGeveeVr/scin2g. tThheesDe0crvietteor,iasuacrhe athlsaota1p.8p0lie<d tmoKt�h⇡e+fu<ll tahnedBaf+te!r thDe0`M+L⌫`P,Dre0q!uireKm�e⇡nt+. coCnotmroplasraismonpleofbebfootrhe wwppre⌧Kohistntihcaehfnntrtdhahmeope⌧fr⌧`e+e+po`⌧�⌧rifse�staihedrp↵ueeaaeliBtcrhts=iaeivgnfe,doplKyu⌧Birss,t-igmhcaae�noldcmmupel⌧Klieanspstt�ietanodgvnpae⌧`esc+pnt`ato�eihrrr,esgiyweninnhatetehsrhrsgeeeoyce⌧pivc+a⌧Boet⌧snmeig�td-,, pMcrreioeadLmalukPbpciarneiocgstkuehgtsep8rtord4uuu%etcpntderuoenfriqtdesatuegheinirxnecetemtrtoaohetpnenaotlMlm,aNCtEpebSedksagimsdkifiiguornnerlgaacattliblloylranetcfg,hrkitorgohemrneeo.uctmhonAmeodfdybteeeiiesnvr.leadtntThootoes-f bsrtMhaiaslCectknMmigesratLfowioPnuoulnrrynkdedoqMifuisnpiCrteaeramlaalknineitdnhnegetdt,hBdgteio+osrBtoecrdsli�aubasluetgsvtiirnfieeoygnentmasssas,eomnwbftpathhcbliekceehgitiswrntofhpeoueeuunntMndvdd.LaatrPBtoiaaencbfaooelnnuerdes-- ta2hthhn.a6eevd%eoao.vsubesOteurpeatmnuhlltpeiyrtvniiapveorleondistastetbinhagletsaaittarweelcdesshlu,olaluiatrnrsgscceitlenduhsdeaoaifndnsysgidsysttstnrethiemeboumusatetartiaitoacilncsusBsuononccfciecaarettnthreatdedaiiniidnntwaytptiitueeohsstf rntoeaslptheeevctehinvitgeslhyte.hraEnnereugsterhnianesro,icminBulgBteipnaleinrcaditly,c.ohniAgthinneueruuvrmaalluenevesetnwfotosrrkdsiugies- d5.a2t6aGeveVen/tcs2)i,natfhteermtEhSe“fusildlesbigannadl”serelegcitoinon(5..T20he<ymieEldSo<f oitnhfeFtnhiger.uBn3+tfohr!rotuhDgeh0m`t+hKe⌫�`M⇡,+DLdP0is!nteruibKrua�tlin⇡oen+t.wsToarmhkepsalenessd,aamasdpelsethasoiawlernde assuerlepepcptrrieoosnsdiuoccnrei,tdBeratiaatg,epaqunurdaitlayr,reatrtaaelscl,kimtmhpuellitcciioptnllyitciinatuyc,cuoEmumniltsieskdealnifhodorsoiBnd sidebanddataeventsisscaledtothecorrectnormaliza- trainedandtestedusingrandomlysplitdedicatedsignal tion of the combinatorial background in the m signal comparisonoftheMLPoutputandtheinputvariables, the Btag yield correction uncertainty. Correlations be- MCandB+B� backgroundevents,foreachofthethree region. ES afterthefullsignalselection,isperformed. tweenthesignale�ciencyandthebackgroundestimate citnhheaFnsingige.nl2sa:floesr+eetleh�ce,tiµtoh+nrµeie�s,mtaoondrdeeqesu+ciµorem�.bthiTnahetdet.rheTesuholeutstlapasurtetssothefoptwhinne baTckhgeropuenadkinMgCb,awckhgirleoudnadtaisindettheremfiinneadl suigsinnagl Bre+gBio�n tfroeTqduheeteenrrtemisstuinlatepspBfro(orBae+cahc!hbysKifignn+da⌧il+ncg⌧h�tah)n.enveTlahlauirseeiotsfhdeontnhceoamutsmbiniangxeida- dfforuauecntdtioontcoroehmsaumvletosn.asnyesgtleimgiabtleicee↵rercotrsonarethiencfilundaledb,rabnucthainrge neural network is >0.70 for the e+e� and µ+µ� chan- iosfktehpetlabrlgineduedncteortaaivnotiideseoxnpetrhimeebnrtaanlicshtinbgiafsr.acBtieocnasusoef mizestheproductofthePoissonlikelihoodsBofobserving Thefinalsignale�ciencies,backgroundestimatesand nelsand>0.75forthee+µ� channel. Thisrequirement manyoftheB decaymodesaswellastheirassociated Noibs in each of the signal channels. Branching fraction observed yields of each signal mode are shown in Ta- is optimized to yield the most stringent upper limit in tag uncertaintiesandlimitsaredeterminedusingthemethod bleI,withtheassociatedbranchingfractionsignificance. reconstructione↵ects,thereisadiscrepancyintheB theabsenceofasignal. yieldofapproximately10%betweenMCanddata,indtaeg- describedinRef.[35],takingintoaccountthestatistical The yields in the e+e� and µ+µ� channels show con- Thebranchingfractionforeachofthesignalmodes,i, pendentofthesignalselection. AB yieldcorrectionis andsystematicuncertaintiesonNbkg and✏sig. sistency with the expected background estimate. The iscalculatedas: thereforedeterminedbycalculatingtatgheratioof datato Systematic uncertainties associated with the level of signalyieldinthee+µ� channelisaroundtwicethatof data-MCagreementaredeterminedformostofthevari- theothertwochannels,sinceitalsoincludesthecharge Bi= No✏ibis�NNbikg, (2) Bdlaar+tgBae�sbaaMmckCpgleerovauefntnetdrsctbhoenifsotrrreiebqtuuhtieiroefinmnaaelfntMtercLotPnhteraesiqnusirareesqmuue�inrectmi.enTetnhltye, aobfltehseuBsetdaginyietlhdecsoirgrneacltisoenleicstiaonnt.i-cTorhreeladteetdermwiitnhattiohne caonndju5g2aete�µd+ecaeyvewntitsharee�oµb+serinvetdheinfitnhailsscthaatne.ne4l0,we+hµic�h sig BB B 6 5 MeasurementofB+ K+τ+τ−,B K∗l+l−andB Kπ+π−γ decaysatBABAR BenjaminOberhof → → → 3. AngularanalysisofB K l+l ∗ − → The amplitudes for the decays B K (892)l+l , where K Kπ are expressed in terms of ∗ − ∗ → → hadronic form factors and perturbatively-calculable effective Wilson coefficients, Ceff , Ceff and 7 9 Ceff,whichrepresenttheelectromagneticpenguindiagram,andthevectorpartandtheaxial-vector 10 part of the linear combination of the Z penguin andW+W box diagrams, respectively [14, 15]. − Non-SMphysicsmayaddnewpenguinand/orboxdiagrams,aswellaspossiblecontributionsfrom newscalar,pseudoscalar,and/ortensorcurrents,whichcancontributeatthesameorderastheSM diagrams,modifyingtheeffectiveWilsoncoefficientsfromtheirSMexpectations[16,17]. The angular distributions in B K l+l decays, as function of squared di-lepton mass q2 = ∗ − → m2 , are sensitive to many new physics models, with several measurements presented over the l+l − past few years [18]-[22]. For a given q2 value, the kinematic distribution of the decay products can be expressed as a triply differential cross-section in three angles: θ , the angle between the K K and the B directions in the K rest frame; θ , the angle between the l+ and the B direction in ∗ l the l+l rest frame; and φ, the angle between the l+l and Kπ decay planes in the B rest frame. − − From the distribution of the angle θ obtained after integrating over φ and θ , we determine the K l K longitudinalpolarizationfractionF usingafittocosθ oftheform ∗ L K 1 dΓ 3 3 = F (q2)cosθ + (1 F (q2))(1 cos2θ ) (3.1) Γ(q2)d(cosθ ) 2 L K 4 − L − K K while, integrating over φ and θ we extract the forward-backward asymmetry A from a fit to K FB cosθ l 1 dΓ 3 3 = F (q2)(1 cos2θ )+ (1 F (q2))(1+cos2θ )+A (q2)cosθ . (3.2) Γ(q2)d(cosθ ) 4 L − l 8 − L l FB l l We determine F and A in the five disjoint bins of q2 (Fig. 2). We also present results in a L FB q2 range 1.0 < q2 < 6.0 GeV2/c4, the perturbative window away from the q2 0 photon pole 0 → and the cc¯ resonances at higher q2, where theory uncertainties are considered to be under good control. We reconstruct signal events in 5 different final states: B+ K +( K0π+)µ+µ , → ∗ → S − B0 K 0( K+π )µ+µ , B+ K +( K+π0)e+e , B+ K +( K0π+)e+e and B0 → ∗ → − − → ∗ → − → ∗ → S − → K 0( K+π )e+e ;wedonotincludeothermodesastheirsignal/backgroundratioisseentobe ∗ − − → very poor. We require K candidates to have an invariant mass 0.72<m <1.10 GeV/c2. We ∗ Kπ reconstruct K0 candidates in the π+π final state, requiring an invariant mass consistent with the S − nominalK0mass,andaflightdistancefromthee+e interactionpointthatismorethanthreetimes − theflightdistanceuncertainty. NeutralpioncandidatesareformedfromtwophotonswithE >50 γ MeV,andaninvariantmassbetween115and155MeV/c2. Ineachfinalstate,weusethekinematic variablesm and∆E asdefinedintheprevioussection. Werejecteventswithm <5.2GeV/c2. ES ES Random combinations of leptons from semileptonic B and D decays are the predominant sourceofbackgrounds; thesecombinatorialbackgroundsoccurinbothBB¯ eventsande+e qq¯ − → continuum events (where q = u,d,s,c), and are suppressed using eight bagged decision trees (BDTs)[23]dependingonthebackgroundclass,finalstate(eeorµµ),andq2 region. WeextracttheangularobservablesF andA fromthedatausingaseriesoflikelihood(LH) L FB fitswhichproceedinseveralsteps: 3 MeasurementofB+ K+τ+τ−,B K∗l+l−andB Kπ+π−γ decaysatBABAR BenjaminOberhof → → → In each q2 bin, for each of the five signal modes separately and using the full m > 5.2 ES • GeV/c2 dataset,aninitialunbinnedmaximumLHfitofm ,m andalikelihoodratiothat ES Kπ discriminates against random combinatorial BB¯ backgrounds is performed. After this first fit,allnormalizationsandtheprobabilitydensityfunction(pdf)shapesarefixed. Second, in each q2 bin and for each of the five signal modes, m , m and LR pdfs and ES Kπ • normalizationsaredefinedform >5.27GeV/c2events(the“m angularfitregion”)using ES ES the results of the prior three-dimensional fits. Only m angular fit region events and pdfs ES aresubsequentlyusedinthefitsforF andA . L FB Next, cosθ is added as fourth dimension to the likelihood function, and four-dimensional K • likelihoods with F as the only free parameter are defined for m angular fit region events. L ES Each q2 bin and each of the five signal modes has its own separate LH function. Thus, it becomespossibletoextractF andA forarbitrarycombinationsofthefivefinalstates. In L FB particular, we quote results using three different sets of our five signal modes: the charged modeB+ K +l+l ,theneutralmodeB0 K 0l+l ,andtheinclusivemode. ∗ − ∗ − → → Inthefinalstep, weusethefittedvalueofF fromthepreviousfitstepasinputtoasimilar L • 4-dfitforA ,inwhichcosθ replacescosθ asthefourthdimensionintheLHfunction. FB l K 15 Belle FFLL1 CLCAHDMTCLFSAbS Babar K* 0.8 Babar K*0 Babar K*+ 0.6 0.4 0.2 0 -0.2 -0.4 0 2 4 6 8 10 12 14 16 18 q2 (a)FL. Belle AFBFBA1 CLCAHDMTCLFSAbS Babar K* 0.8 Babar K*0 Babar K*+ 0.6 0.4 0.2 0 -0.2 -0.4 0 2 4 6 8 10 12 14 16 18 q2 (b)AFB. Figure2: FF(bIlGu(e.to7d:apFs)hLead(tnolipdn)esaA,ndwhAicFhB(ab(lbsooottdttoeomfimn)er)etshureletessxiutnelndttissojofiinneatcdqh2iisbnijdnoisv,iinadluotanlqgq2w2itbbhiintn)h:sos(,ebaloaflcokotnfihleglredewxsptieatrrhi)mBetnehltlsoeas[n1ed9],toh(feblSaoMctkhefixelplreedcetcaxitripcolnees)rimentsand CLDF[20],(blackopenFsBquare)LHCb[21],(blackopencircle)CMS[22],(blackopenstar)ATLAS[23],(bluefilledsquare)BABAR theSMexpeBBcA→BtaARKti∗oqℓ52n+rℓse−s,u((lbtrselduarfieelldedrdaawdsonhwienn-dpthoelini1tni4ne<gst,qr2iwa<ngh1le6i)cGBheV0a2→/lcs4Kor∗e0gdℓi+oenℓfi−,hn,o(ewmetavhgeere,ntteahexfiyltlaeedrneutvpa-olpidfoifneotraintcghhetreiinantnigdrelei)qv2Bi>d+u1→4aGlKeqV∗+22/ℓ+cb4ℓ−irne.g)Tio:hne.(blackfilled star) Belle [18], (black filled circle)∼CDF [19], (black open square) [20], (black∼open circle) CMS [21], (blackopenstar)BaAbaTr K*L+ AS[22], (bluefilledsquare)BABBAabRar KB*+ K∗l+l−, (redfilleddown-pointingtriangle) → B0 →K∗0l+l− ,B(ambar aK*g0 enta filled up-pointing triangle) BBa+bar K→*0 K∗+l+l−. The BABAR q25 results are drawn in the14<q2<16BabGar Ke*0V,+ 2/c4region,however,theyarevaBlaibdar Kf*0o,+rtheentireq2>14GeV2/c4region. Belle K*0,+ Belle K*0,+ CDF K*0 CDF K*0 LHCb K*0 4 LHCb K*0 CMS K*0 CMS K*0 ATLAS K*0 ATLAS K*0 0 0.2 0.4 0.6 0.8 -0.3 -0.2 -0.1 0 0.1 0.2 0.3 0.4 0.5 0.6 FL AFB (a)FL. (b)AFB. FlinIGes.)8[:1–q502,F7]L.(left)andAFB(right)results,alongwiththoseofotherexperiments[19–23]andtheSMexpectation(vertical MeasurementofB+ K+τ+τ−,B K∗l+l−andB Kπ+π−γ decaysatBABAR BenjaminOberhof → → → Fig. 2 graphically shows our F and A results [24] in disjoint q2 bins alongside other pub- L FB lished results and the SM theory expectations, the latter of which typically have 5-10% theory uncertainties(absolute)intheregionsbelowandabovethecharmoniumresonances. 4. StudyofB Kπ+π γ decays − → The V-A structure of the SM weak interaction implies that the circular polarization of the photon emitted in b sγ transitions is predominantly left-handed, with contamination by right- → handed photons suppressed by a factor m /m . Thus, B0 mesons decay mostly to right-handed s b photons while decays of B¯0 mesons produce mainly left-handed photons. Therefore, the mixing- inducedCPasymmetryinB f γ decays,where f isaCPeigenstate,isexpectedtobesmall. CP CP → Thispredictionmaybealteredbynew-physics(NP)processesinwhichoppositehelicityphotons areinvolved. Especially,insomeNPmodels[25],theright-handedcomponentmaybecomparable in magnitude to the left-handed component, without affecting the SM prediction for the inclusive radiativedecayrate. Ourgoalconsistsofmeasuringthemixing-inducedCPasymmetryparameter, S ,intheradiativeBdecaytotheCPeigenstateK0ρ0γ,whichissensitivetoright-handedpho- K0ρ0γ S S tons. Because of the irreducible background from B0 K0π+π γ, which is not a CP eigenstate, → S − we have to measure first the time-dependent CP asymmetry parameters S andC which K0ππγ K0ππγ are related to S by S =S /D where the dilution factor D depends on the K0ρ0γ K0ρ0γ K0ππγ K0ρ0γ K0ρ0γ S S S S amplitudesofthetwo-bodydecaysK0ρ(770)0,K (892)+π and(Kπ)+π andcanbecalculated S ∗ − 0 − as shown in [26]. Because of the much higher signal yield for B+ K+π+π γ, compared to the − → neutralmode,inourworkthedilutionfactorD isdeterminedfromastudyofthechargedmode K0ρ0γ S B+ K+π+π γ, which is related to the neutral mode by isospin symmetry. Using an extended − → unbinned maximum likelihood fit to m , ∆E and the Fisher discriminant F [27], we extract the ES signal yield for B+ K+π+π γ for m <1.8 GeV/c2. Using the sPlot technique [28], we ex- − Kππ → tractthem ,m andm invariant-massspectra. Wemodelthem invariant-massspectrum Kππ Kπ ππ Kππ ascoherentsumoffiveresonances(Fig.3),eachparameterizedbyarelativisticBreit-Wignerline shapeandfromamaximumlikelihoodfittothem spectrumwederivethebranchingfractions Kππ oftheindividualkaonicresonancesshowninTable4. WemeasuretheB+ K+π+π γ branching − → fractiontobeB(B+ K+π+π γ)=(27.2 1.0 1.2) 10 6 [29]. − − → ± ± × We then perform a further maximum likelihood fit to the m spectrum in which we include Kπ ρ(770)0, K (892)0 and a (K+π ) non-resonant S-wave contribution. We model the K (892)0 ∗ − 0 ∗ witharelativisticBreit-Wignerlineshape,theρ(770)0 withaGounaris-Sakurailineshapeandthe (K+π ) withtheLASSparameterization[31]. Table4liststhebranchingfractionofthedifferent − 0 resonancesdecayingtoK+π andπ+π . ThisisthefirstobservationofthedecayB+ K+ρ0γ − − → andtheB+ (Kπ) 0π+γ S-wavecontribution. Fromthemeasuredtwo-bodyamplitudesweobtain → ∗0 adilutionfactorofD = 0.78+0.19withmassconstraintsm <1.8GeV/c2,0.6<m <0.9 GeV/c2,m <0.84K5S0GργeV/−c2 and−m0.17 >0.945GeV/c2. Kππ ππ Kπ Kπ FinallyforB0 K0π+π γ weuseaselectionsimilartoB+ K+π+π γ andbymeansofa → S − → − maximumlikelihoodfitweextractsignalyieldB(B0 K0π+π γ)=(24.0 2.4+1.7) 10 6 and → − ± 1.8 × − CPasymmetryparametersS =0.14 0.25 0.03andC = 0.39−0.20+0.03 from whichwefinallygetS =KS0π+0π.−1γ8 0.32±+0.06 in±agreementwKiS0tπh+tπh−eγSM−. ± −0.02 KS0ρ0γ − ± −0.05 5 MeasurementofB+ K+τ+τ−,B K∗l+l−andB Kπ+π−γ decaysatBABAR BenjaminOberhof → → → Table1: BranchingfractionsofthedifferentK+π π+ resonancesextractedfromthefittothem spec- − Kππ trum. Tocorrectforthesecondarybranchingfractions,weusethevaluesinPDG[30]. Thefirstuncertainty is statistical, the second is systematic, and the third, when present, is due to the uncertainties on the sec- ondary branching fractions. “n/a” indicates that the corresponding branching fraction was not previously reported. B(B+ Mode) Previousworld Mode → × B(B+ Mode) 10 6 B(K K+π+π ) 10 6 → × − average( 10 6) res − − − → × × B+ K+π+π γ ... 24.5 0.9 1.2 27.6 2.2 − → ± ± ± K (1270)+γ 14.5+2.1+1.2 44.1+6.3+3.6 4.6 43 13 1 1.4 1.2 4.4 3.6± ± K (1400)+γ 4.1+−1.9+−1.2 9.7+−4.6+−2.8 0.6 <15at90%CL 1 1.2 1.0 2.9 2.3± K (1410)+γ 11.0−+2.2−+2.1 27.1−+5.4−+5.2 2.7 n/a ∗ 2.0 1.1 4.8 2.6± K (1430)+γ 1.2+−1.0+−1.2 8.7+−7.0+−8.7 0.4 14 4 2∗ 0.7 1.5 5.3 10.4± ± K (1680)+γ 15.9−+2.2−+3.2 66.7−+9.3−+13.3 5.4 <1900at90%CL ∗ 1.9 2 7.8 10.0± − − − − 15 18 120 1200 2)V/c100 2)eV/c 1800000 e 80 G 013 G 60 0109 460000 Events/(0. 2400 Events/(0. -2200000 0 Norm.Residual-4040.8 1 1.2 1.4 1.6 1.8 Norm.Residual -404 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5 1.6 mKππ (GeV/c2) mKπ (GeV/c2) FlpeiakeIcGrehfloi.hrb4omi.noeDddairfisdettirrsitehbocoutmwtlyinoEntSto,ho�tefhFemErixseiK,smgtia⇡drn⇡uKuad⇡afrco⇡lFsert,d.ecni3oPsdort:orrrmieifnbcTartutsllothiyizwo-meernidetchmtioonmenKreserxtraoπrtrruxroπacrbictaumte(rdnltsiheuBtgesfim.+vtceTo)!nthaltheriKenikpbs+daueu⇡rtmlaim�oill⇡nhoeKs+flosf�dπroWoostmd(ietgriengdkifihagaltaotshenn.vditteTc)onfhruteseslslmpo(blsnilenPuFlt⇢taiwocee(knIlt7sGeootcas7l,terlim.o0P)hsPla6),-o∆ia0.wdDdeorfDxaadekFEcvnctoiufiesradtfitartrhytcrvca(eiiotpKbenctomnreuogo⇡oidmptnsdji)toeoer⇤0Efotcnn0rrShtaeoFK,ieeonc�onmoftndc+rsnm.eE,tt⇡ttsThriK,lwu.u�ieebhy⇡alo.⇡uetsnm-ft+tdsosioihrmaotrn.feFaenxcatBngsiK.olchm,ldre-eP⇤rodrlaue(eooarfic8msnwisPdtpn9thl2tesyesc)-dt0trwlirervacieouetnodlhndytc,.smetttrhtreTerueeodhcdri⇢cteue(bmhd7Bda7a-rBnd0ss+)ha+ig0seq,ihd!v→ae-euddnKtodeghtr+teKt.eeh⇡esde�nu+Pmgd⇡ara+nπoasod�yhfi−edsncsdiouWg-πttrtntvesraeiie+pdglhlewcemtγvo-serda.rinogsettTtesshtinpheg(todesanPneblcdilulgrsaourhrtetvlt)ooe,sbseoetrlxlchuviotdeerbrearcciencnauusttrrpeertvvdrosseefnefccdrroooetrnrmorrceeettsshhppbeeooennKmtdwda⇤sse(xett8inoom92tttu)hhhm0eee, deviationlevels,respectively. EinSterferencebetweenthe(K⇡)⇤00andsthe⇢(770)0.BelowthemK⇡spectrum,wealsoshowtheresidualsnormalizedinunitsof give the sum of sWeights. The blue solid custravndeardsdheoviawtiosns,twhheerefithteptoaraltlehledotmtedandfulsllpineescmtarrukmtheoanenadndtthwoestatnodtaardldePviDatioFnlefivetls,respectively. Kππ projection to m , respectively. The small-dashed red, medium-dashed green and dotted magenta curves TsfJ112oe�++APrcoBbnLodtESihinsutVJmsey.PrfsRoet=freeeKmfis1nutr+acKKKKKleettfsrisa211⇤⇤⇤cKan(((((oc(11111drfts24e464iest70o1831cctBi9tBa5eh00n000�hshoonSe))0)))s.e0eeerrrdofic%lerrt.so→dCbleeoIftwVenaouIssscaospnppDeltnohhleKcnootr1eceoaen)vlnns.cci∗ocdnfieoanddT0lhrrn-derhedsultfeMtecrs+0120bdcMoeotas....iutele7312o1ilpmnnlasrauiyn2609n.tt0ngc−w-olrct±±±±hserndeuKa(h(earJiJeinficeGtct-0000arπroetPauxoPta....dkei1120erinedvhlVKnn=n0689=diodseee/tL+�+�+�+�nttes.)i,cdtvr∗↵1ieh-100000000h2nutts....�....+wb()u12200121eeeeecoo207986618-tB::ardnlspeweo{h{f9.dctKpaKelhn2→nppsWkier⇤1eieeg)g((eeKwtrn110phneh2ar4a1a,l71tla(Kfcreni100hasρobre2m))dmPr∗7da––rl(ele0bluWomKKvtit7)st+wea23ete1Pae⇤i7ri..od(91ntsse(dohl1fo10000tcw74dyam4−dh6...umnu000±±s)0K8smee(a0K00.r(((tGe00t⇤)te�)fififil⇡vha..}(}hesaxxx11m⇡an1V(en72eeeeR,6.resn/ddd+�+�a8dtcnecTu)))00d00d0fieh2fi....a).hoot)1010r)se1224rrewrn(errusyd8888888888888888888888888888ifiKrmt1111111122222222223333333333dda2345678901234567890123456789trewltsdiiftBb(tgBdgfiptftwyuitsolmltAhπsssssnurroatr3ihhrhoipitreansseaaesoviuue+ste⇡.erpaobecWortbhtlcfiul3dccsiel)eemn⇡awlainaioadedivtuFtt4rxnenmcueeoarydr∗0emarncePsfiizt+�ta↵e!-ecooetaashsiittcaibiBidolnrineceea00nneutzohnignao-infs[ocs..ooctrtnefigcna.m3nart65edlt9dwtndreotwtdbtmleog24c4naroiRKi0aatirbtthie+c�yreetvcth]sthydi0hnbapiete,aoomeftshtian10eii0ntiSerhanlewuoshfMlrhwl.r.(e��onacat(.t,h6tei8fevtnerer1ttmeFneyn1ht42cs1hbtoinaacefise00000100oi[r2eitcetch1)tFetee01VoiattoonueutF........7nnehaiiinlieh⇥.lteii0761440633nloxns/esdrgn0a0wotblehcsosefein%]n17205550ncacptseeg+�trccfi)neeh1.iuioeisich2t+�+�+�+�+�+�+�+�tnaul+vhterncxt0to11nstloibnesifpoeecraehoc.ih.00000000.cedt00000000via�vIr(dhta45neelttssafbftert........nn........oc!amietyistr00000110T2na+�s00000111tiitairtlrooerrsiFdorcBh.leiwoi88854808a55743461u,htiytdoesac2b2rioanhtntsnsnhnai+�+�+�+�+�+�+�+�gttwxo(..eeteInhsnrpfoilr05odLeitiiKnteenndllo,emKc0000000000000000ascoeycwn)thscmfaogfdt........n........litnNohnnaae(00000100000000001aautfiedsh⇥ir0mKsheet⇤polteKic55885259s54466856inl(ofSrnnReyshcsiaenr(noe,errahi⇡r1fiesniiacnat1faKs1maeaonng⇡evfttsfs2ieodstllnem4lt0cnncermsuyeaSay07yrae)eLphtfoce3tet�dbplgders⇢en⇤0snmlr0nsahlyoalnnen0Aetr�0iye6naytiid)ospesrlsemets)ttmimahtf.t,tce+ficsScnd0urrmswichtstpiNeudecnrontaiaSw⇡mseAtKndoBiibrseessa!lefaec,onncAohfiR+oneaeteet⇡eusagcfi.pttnctaettqBsrittnpi)+ioiultncnhad.liriidovculp�pdtKie.pyminnnaenTireeo,nKotieatb,!esatrndegedercenh0ph⇤irritu→nmmeutbaeda80.ddst⇤,tfem(vhiwltothmtridh,onr4s(1ehJneedyisteeoydtee1ertifia5edeoc4a/tteeaexhemfra4ha.anctnrh3t mvnEMriseleib3trisnyastei0wKtectesAszynqtmee(unth0xrsKithsi)ereuFdah ads.ayer)Ve0sa,itr.ep⇡ltbtetFea0enre⇡06t+Kb(/irhiioaw)-sLtmaileo1c0sssvyos+ctKeiaplfTeicid.htnsnAgc)ph0ha2csestτfl)oti∗totnni,⇡rlieitecindrTqSnbbyhhuhcrveoneaisa=ca(⇡itni+Snhdyyeogaeeeeessr----l,luetd8ssphτ8888888888888a94444444444555,e0123456789012deto−r2wo9nmdvimwstwctnanuayeela4oi()hhZZZZZteesris;rrsa5ttnhetKnneetdtbei0eeogahMaterr.rssn���������22eieerrnmitiiAAAee<<dniaIootπeaehtisortniVttaz⇢K(nnt⇣⇣eohnndKhmieKsit2/c.s)eno⇤AAeeeiea,o⇡cfS+sd0sca-nr∗0l.2un⇤⇢⇤⇢)twTo���B⇡tsdould⇤0aiKK22uothnrisf�+nenhdtargewnSScdo00rr⇡���i+tchggeed5eoKbmc2eAAnehe�mnirtebegdduorteemtK(���dtt⇡rdpi×mtthntKK2aio→t∗e⇡haapi⇢⇤e⇡Diafinod⇡iρ⇡a+⇡ididnh(n⇡dnntinm)ae⇡7K⇡emtnaddr⇤01htcbi(fi7d�+tqsmSi0eua⇡aKei0oemngeue7⇡⌘s⇢0Kra⇡eesmfi-av)l�⇡ee�asdsa0Kdcrset7ldn,−adpρ⌘mKmrs=odm=era∗⇡clerarawa0ia⇡itdcasepKr3sc+nly⇡x(bs�=0homesytceh)⇡te,⇡tsouu.7quuid0aa2cda0lv⇡bw0lrsunscsit.=hs6tm7e⇡e7.os+hotiit,eghst09sr.ued8ua-iiaaKe0t70edtfnisa+�m±pntmnirlonrm8.rTpt⇡c1ne00e)dherntit−evKaa±.h.0n4eaoha11=0lcmsbn.td⇡1eddee97eer0euoSalE0,.t+�o,imK2�wes=mnme.etq000y8sacih⇡d↵.a.0n.m0,0⇡s0.c�ire.2t22(s⇡cns0dIacee971y0o,tV9tsndm,aa)st.us01,dthntD.tnaie4i±eydhnsttmUm.9itseimem+�ci0sqamKclfli.00dutKaouonK0a.⇡.is00awlr0nxgc⇡⇡54d(6ca20u3ttdr,eiddn,hhnn4aeriidee)------- here. Our B0 K 0l+l results are in reasonable agreement with both SM theory expectations K1(1270) 1.272→(fixed)∗ − 0.098±0.006 K⇤(1680) 1.717(fixed) 0.377±0.050 6 28 28 101000 110000 2)Events/(0.0023 GeV/c2)Events/(0.0023 GeV/c2468000024680000 Events/(0.04 GeV)Events/(0.04 GeV) 2468246800000000 MeasurementofB+ K+τ+τ−,B K∗l+l−andB Kπ+π−γ decaysatBABAR BenjaminOberhof 50.502.25.52.1215.52.2225.52→.3235.52.4245.52.5255.52.266→55.2.27755.2.28855.2.299 → −0−000.2.2−−00.1.155−−00.1.1−−00.0.055 00 00..0055 00..11 00..1155 00..22 mmESE S( G(GeVeV/c/2c)2) ∆∆EE ((GGeeVV)) DaDtaata 101000 CoCrorerrcetlcyt-lyre-rceocnosntsrutrcutcetde ds igsinganlal 6600 MiMs-isre-rceocnosntrsutrcutectde ds igsinganlal CoCnotnintuinuumum Events/(0.1)Events/(0.1) 468000468000 XKBXBKKs±S0±s00S0+XKBXBKK γγπGGππs±S0±s00S0+-+0 eeγγπGG γππγγ-+0nn ee γeeγγnnrreeiiccrriicc vents/(0.533 ps)vents/(0.533 ps) 2345234500000000 EE 2020 1100 00 00 00 0.01.10.02.20.03.30.04.40.05.50.06.6 00.7.7 00.8.8 00.9.9 11 −−88 −−66 −−44 −−22 00 22 44 66 88 FiFsihsehre rD Disicsrcirmiminiannantt ∆∆tt ((ppss)) FIFGIG.8..8.DDisitsrtirbiubtuitoinosnsofofmmESES(t(otpoplelfetf)t,),��EE(t(otopprirgighht)t,),ththeeFFisishheerrDDisisccrrimimininaanntt((bboottttoommlleefftt)),,aanndd��tt((bboottttoommrriigghhtt)),,sshhoowwiinngg tmhtmeehFaeernaiegsrnseusuoslfurotelftsthts4oehf:oefftoDhftlolehiolslewofitwrtfiinitibtgnoutgortteirhoqteheuqneuiBsriBero0me0fm!eF!neintKsstKh:sS0:eS⇡�0r⇡�+0d+0⇡.1i⇡.�s15�c5��ridm�da�atiEatnEaasansamt0m0.(p1.lp1l0eel0feG.tG.)eTVeTaVhnhe(ed(mdmd∆iEsiEStstStr)(r)i;rbi;mbiumgutEhtiESoitSon)>n,s>ss5hh5h.ao2.av27vwe7eGGitntehehVgeVe/i/irficrc2ts2sir(ig(ge�n�nsaEauEll/l)/)tb;b;samamtccokEkEgSgtSrhr>o>oeuu5nB5n.d.2d0277r→raGaGtteieiKVoVo//S0eeccnπn22hh,+,aa��πnnc0c0−e.e.1d1γd55bbyy ��EdEata0s.01a.01m0GpGelVeeV(wF(iFitsihhsehtrehraenanaddd�d�itt)ti.)o.nPaPoloinirntestqswuwiitrihtehmeererrnorortsrb:baarsrs0s.sh1ho5owwtthh∆eeEddaattaa..0.T1Th0heeGppreroVojjeecc(ttmiioonEnSo)of,ftmthheEeSfifit>trree5ssu.u2llt7tiisGsrereeVpprr/ecess2eennattneedddbbyy stsatcakcekdedhihsitsotgorgarmams,s,wwhehreereththeeshshadadededaareraeassrerpepreresesenntttht−heebbaacckkgg≤rroouunnddc≤coonnttrribibuuttioionnss,,aassddeessccrriibbeeddiinntthheelleeggeenndd.. SSoommeeoofftthhee cocnotnrt0irb.iu1btu5itoinosn∆sarEaerehahra0dr.ld1yl0yvGivsiisebiVblele(d∆duute)et.otPotohtiheniertisrsmwsmaitalhlllferfarracrctoitroionbnsas.r.NsNosothteoetwthhatathtetthhdeeastsaaam.meTeohorerddeperrroiisjseuucssteeidodnffoororftthhteheevvaafirrtiiooruuesssuccooltnntitrsriibbrueutptiirooenn-ssiinn − ≤ ≤ bobtoshethnthtteehdestsbatycakcsekdteadchkihsietsodtgorhgarimasmtsosganarandmdthsthe,ewcochorrererrseepspothonneddinsinhggaldelegegedenndad.r.easrepresentthebackgroundcontributions,asdescribed inthelegend. 111333778111890333778890attaisattmiyaisTnmmiyena-meSmdb-SKemdlepeKeS0teper⇢S0t2ny�er⇢:dny�r=edBer=neleratn�latat�an0etsad.0ec1ysd.h81ymti8mont±mog±mte0httfe0.herr3t.aeir32eBci2+�seBt+�0si00io0..n0000i!.n.n6500!rs.65ar.KaodTKdfiTSa0hiSta0⇢thihi⇢st0iveis0�vem�emrdBeedBeeasecaosdcausdneauyreacyercaneamayacmnysenedsensdintsiotdsobioenbio-fnc-fa131y9379i7ng to Kπ andAπACπCKKeNxNtOrOaWWcteLLdEEDfDroGGmMMtEEhNeNTfiTStSto the mKπ 13811381agargsepreeemecmetrneutnmtw.witihRthpdpreervenviooituoeusslsylaypnpuiubnbltilesihrsmhedeeddreriesaustueltlstrse[8s[8o––1n10a0]n]atansndtdaitsies131a9389n8d hWWseetatnthhdaasnnkfkoErE.a.KKfionouualffosortrahtheeellhppadtthrhorronouu:gghahoocuuhttarttghheeedaapnniaaollynyssiiss,, 13812382ofoefoqeruqkiuvaiavolaenlne.tntpTproercecicosiisroirnoen.c.tInIfnothrthitsihssetsatsateitscitsoitcnicsd-sl-ailmrimyitibetedrdamnmceheaaisnsuugrree-f-r1a3193c99t9ieoesspnpsee,cciawiallleylyuwsweitithvhatlthuheeesccofomrmopmpuutt[aa3tti0ioo]nnaonofdfttBhhe(eKdd∗iil(luu8tt9iioo2nn)0ffaaccttoorr,, 13813383mmeKnetn+,tπ,nono)ded=veiv2ait.aitoTinohnefrfofirmormstthtuhenecSeSMrMtapiprnertdeydiciictsitosiontantisiissotiobcbsaseler,rvtveheded..s1e41c0400o0anandnddisAAs.y.sLLteeemYYaaatoiocuu,aanannccdffotohrrevvtaahlluiuraadbbl(lewedhdieissnccuuasspssipioolnincssa..blWeW)→eeisaarree − 14104101ggrraatteefufullffoorrtthheeeexxttrraaoorrddiinnaarryyccoonnttrriibbuuttiioonnssooffoouurrPPEEPP-- duetotheuncertaintiesonthesecondarybranchingf1r41a0420c2tIiIIoInccosol.llelTeaahggeuueleasssitinntwaaocchhrioieevwviinsngogftththheeeeetxaxcbceellellleeannrtteloluubmmtaiinninooessidittyybyaanndd 111111111333333333888888999111111111456789012333333333888888999456789012sdKtittinehihuesdKtittimsne⇤eerhihuWcsietms0esane⇤eeroeWch⇡etKy0e-esdafeptoehd⇡e+iKyh-eirfatnhe⇡tedc+eienhrrhpganh⇡te⇡asaeaeenevhupgieat⇡stutnnaeeeneviluieostupttntdnnsednylroesssthptgtdKKaedsttyrKresshoh(tKuanmlaestrt∗K⇡etoar(ttu+adhnmldo(meeK⇡et⇡trtdie⇡8nρdCdeomeMee⇡tiuc⇡ndCdeit)9hceP(waauh⇤0scpdit)oPeo27twae0yath⇤0srphoneaddh⇡)t7e0yoctrlhoitesa0dBh⇡aecuoe+o0rrliytshπBraeceui+grr.)0odymbithsrrehgz.0+0odmeioeusmhaz!emγceonsttmγatx!emAaciaphnatietxotAyaoyaheoasntierKtnyonysresnattnrKBiuysnsr.bacntS0dBi,uaym.btcn+Set⇢f0Bi,amBmtwre+eWnt⇢0iSmorwe1W(u!n�0g(peiSmKrmu!eRn�s5gBpe.l8mKeebgisgS.0el.tKh+.efgiaS→r60⇢tedIiuu1tKhfahaas�⇢indIiuuid+lno±asv→�ninae±id+lnoevsafe⇡tcahfreispsrfe⇡eotaf0hdn�oriπ0espeomirdn�Moodfinms.s⇡mir.ono)6dffntmso⇡i4eoo+rafttgieoa×rons+±t+mriatSta�erosyshtmidSaetf�eK00osusyhnameres1neKsou0t..narmaeStsr087otot0n)re⇢mSti.r0tc⇡onoe⇢5mdiaato0−⇡st×+modnaeo0iKsnnt+mn⇡6eotKntuttced⇡tr�uottnhh+cedear�yohh+nd�eaeetsy--,,n�whees--,,B1111111111e4444444444a8111111111100000001114444444444(3456789012s0000000111n.3456789012B2mTetteDt(IonmTetteDt(InhohCxx+n±onhohChexx2asaepthearatpstaeepttce3at→epetentchei0htaNpnenhtri.shaNnsasartir.d4urtsoasaaurunitddu4tneiauunettdntnmMsipce±veatktmsdpucee±akcapdNu)eiceprNc)eno,oeSoar0cenat,aoSsoan0atturLnaosodttls.tnrLnotttlsshtn.9pdiAethSdod8oiAltoeSdoBa+−o)ytofeciCBhndffrcitCh±nAdfi00EteC×aAteiierEeCaBteio..emdfleBnt87onomhodflon0nnAh1opioncAedfmi.ricRcsed.mi.sre0coRrsesa0etre.sgamirh−t.sgtmiTtp2tyttPTthpiTesyaPhei6iTrosahisarohnhaodsahnhnsLsaoihtnsysndijtsu.aeyndjsuaeeAsoderphsodcrphicwaEifci<cwqEpaSiftaoqNpaPvtaoNontuvotonlStuvothlealrraegehralra2egaerkeea`alrttikpe`alttisbn0iamvNsbnimNooacaoooielcgaoiielsn’ouraan2esrn’ouoaEnerearEmaacdrrtdmaacd0rseudmniselltenilult(´nle9epu+−´nlisepeiStiei×napeStgenua0prgethu76rcthiwstgpcghisgtprg%heritr1ReiiiReoeiiiieoeiincoesincze0nnskrennkrregreratgsCecis−tiAscwisiAletnwtettetnetetedoiid6oiLatodidiatodcodtrcFdto)rFrroarurganuegcmokbehcmokbhlatlah.tluhyoluyioPnyiiPnyipon“poqsnqsiChiCnpthonnzdputozduoohyhssyaois/saoiaenaetntsaesstuestutwatwaiiii”iiaibnqaibnolqtoloUtoiUiininuhlcsnuhlctsnntneediShydiSheeysees.,l.,l 11113333999911113456333399993456baarennrbaarsaeddnnrpsnaddep(tcncKheh(tctcKehihi⇡ntveioi⇡)gnevv⇤0ol)gey0(evf⇤0lKr.⇡rKy0efaar.⇡r+0(∗claπa+lK(tclci)l1btoocπ00ibr4nmooπar)n3msnap∗0+s0nco0pohγ)cfoπnoh0ifnetn+(πinhetnNgγnhte+gsfteR,rγsdfa,rl)diiac↵lsiitc↵etsiteretoiederonnedn0sintns.iton81KofTK20fTtareh.ta±rbs3ehebls+−ee!l0.⇢es!.00⇢s.0.V..00K78KVK6+−IK−+I⇡+a12+⇡a,n..⇡0050,n⇡Kd..11Kds26Vs⇤tV⇤ta0Ia0⇡tII⇡teI+Ies+I,s,111144441111111114444345611113456.ddsc3ddsccleu2eclheuse9nha+sanarga.Pfrg009ePtfea..tu01a(±ru((90Irn(tGInt+tGid.tac0id.eac00u.le.ruyl..Fr7lm22yFe)lmo06e)+−,soa,rsa±rt11sn(tsnh..c(Fyh59cFyhe0)hre)ur,a.uF,aFn1nnotnotg4chugchueeene)na)ad,ndI,nIastdastdtthtth<iiietioDetoDununBe9tBetoufuo.ufuo2tontrnNsrNsdcadcFaFhnneahteuzseuz//sei9mnaaimnood0FndFininao%naaoamirlmirlsessestcteCceeehdnhdnrrLutiuitiiuaunanFFlmlmggiRisRsssgigfiefecuce¨ue¨ssaamrmereaaNeBNeBrriicnuicniulhlh------ − − − andotherexperimentalresults. Similarly,althoughwithrelativelylargeruncertainties,weobserve broadagreementoftheB+ K +l+l resultswiththoseforB0 K 0l+l . However,inthelow ∗ − ∗ − → → dilepton mass-squared region, we observe relatively very small values for F in B+ K +l+l , L ∗ − → exhibiting tension with both the B0 K 0l+l results as well as the SM expectations. These ∗ − → tensionsinF aredifficulttointerpretbecauseofuncertaintiesduetoform-factorcontributionsin L the calculation of this observable in both the SM and NP scenarios. We measured the branching fractionsofthedecaysB+ K+π+π γ andB0 K0π+π γ. ForB+ K+π+π γ weobserved → − → S − → − five different resonances decaying to Kππ state and we measured their branching fractions. We found first evidence for B K (1400)+γ, B K (1410)+γ and B K (1400)+γ decays. We 1 ∗ ∗ → → → have calculated the dilution factor D from the measurement of B K (892)0π+γ, B+ KS0ρ0γ → ∗ → 7 MeasurementofB+ K+τ+τ−,B K∗l+l−andB Kπ+π−γ decaysatBABAR BenjaminOberhof → → → K+ρ(770)γ andB (K+π )0π+γ decays. Wehavemeasuredthetime-dependentCPasymmetry − → parametersS andC andhencederivedS fortheK0ρ(770)0γ CPeigenstate. K0π+π γ K0π+π γ K0ρ0γ S S − S − S References [1] J.P.Leesetal.[BABARCollaboration],Nucl.Instrum.Meth.A726,203(2013). [2] B.Aubertetal.[BABARCollaboration],Nucl.Instrum.Meth.A479,1(2002);B.Aubertetal.[BABAR Collaboration],Nucl.Instrum.Meth.A729,615(2013). [3] C.Bouchard,G.P.Lepage,C.Monahan,H.Na,J.Shigemitsu,Phys.Rev.Lett.111,162002(2013). [4] J.L.Hewitt,Phys.Rev.D53,4964-4969(1996). [5] J.P.Leesetal.[BABARCollaboration],Phys.Rev.D86,032012(2012). [6] R.Aaijetal.[LHCbCollaboration],Phys.Rev.Lett.111,191801(2013). [7] R.Barbieri,G.IsidoriandA.Pattori,Eur.Phys.J.C76,67(2016). [8] T.M.Aliev,M.SavciandA.Ozpineci,J.Phys.G24,49(1998). [9] J.P.Leesetal.[BABARCollaboration],Phys.Rev.D87,112005(2013). [10] D.J.Lange,Nucl.Instrum.Meth.A462,152(2001). [11] B.Denby,NeuralComputation5,505(1993). [12] A.Ali,W.Lunghi,C.GreubandG.Hiller,Phys.Rev.D66,034002(2002). [13] J.P.Leesetal.[BABARCollaboration],Phys.Rev.D87,112005(2013). [14] G.Buchalla,A.J.BurasandM.E.Lautenbacher,Rev.Mod.Phys.68,1125(1996). [15] W.Altmannshoferetal.,JHEP0901,019(2009). [16] G.Burdman,Phys.Rev.D52,6400(1995). [17] J.L.HewettandJ.D.Wells,Phys.Rev.D55,5549(1997). [18] J.-T.Weietal.[BelleCollaboration],Phys.Rev.Lett.103,171801(2009). [19] T.Aaltonenetal.[CDFCollaboration],Phys.Rev.Lett.108,081807(2012). [20] R.Aaijetal.[LHCbCollaboration],JHEP1308,131,(2013). [21] S.Chatrchyanetal.[CMSCollaboration],Phys.Lett.B727,77(2013). [22] G.Aadetal.[ATLASCollaboration],ATLAS-CONF-2013-038. [23] L.Breiman,Mach.Learn.24,123(1996);I.Narsky,physics/0507157(2005). [24] J.P.Leesetal.[BABARCollaboration],Phys.Rev.D93,052015,2016. [25] K.FujikawaandA.Yamada,Phys.Rev.D49,58901558(1994). [26] J.Hebingeretal.,LAL-15-75;http://publication.lal.in2p3.fr/2015/1550note-v3.pdf. [27] R.A.Fisher,AnnalsEugen.7,179(1936). [28] M.PivkandF.R.LeDiberder,Nucl.Instrum.Meth.A555,356(2005). [29] P.delAmoSanchezetal.[BABARCollaboration],Phys.Rev.D93,052013,2016. [30] K.A.Oliveetal.[ParticleDataGroupCollaboration],1584Chin.Phys.C38,090001(2014). [31] D.Astonetal.,Nucl.Phys.B296,493(1988). 8
The list of books you might like
