First observation and Study of the K to π e decay with ...
Transcript of First observation and Study of the K to π e decay with ...
First observation and Study of the K± to π± π0 e+ e- decay with NA48/2 @ CERN
Brigitte Bloch-Devaux Università degli Studi di Torino
on behalf of the NA48/2 Collaboration
KAON201911thInterna1onalConferenceonKaonPhysicsUniversityofPerugia,Italy,September10-13
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Outline
v NA48/2 description of experimental setup & detector performances…
any need to repeat it ? v ChPT and the K± à π± π0 e+ e- decay mode v Selection and backgrounds
v Branching Ratio
v ChPT contribution
v Asymmetries v Summary/Prospects
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SPS
N
Geneva airport Switzerland
Jura mountains France
LHC
NA48/NA62
The NA48/NA62 experiments at CERN-SPS
The NA48/2 collaboration: still analyzing > 15 years old valuable data !!
~100 physicists from 15 Institutes in 8 countries Cambridge, CERN, Chicago, Dubna, Edinburgh, Ferrara, Firenze Mainz, Northwestern, Perugia, Pisa, Saclay, Siegen, Torino, Wien
NA48 direct CPV ε’/ε
NA48/1
NA48/2
NA62 (RK) NA62
1997: KL +Ks
1998: KL +Ks
1999: KL +Ks
2000: KL only
2001: KL +Ks
2002: Ks/hyperons
2003 K++ K –
2004 Ag(CPV)
2007 K++K –
2008 RK + tests
2007 design &
2013 construction
2012technical run
2013 long shutdown 2014 commissioning | & 2018 data taking
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The NA48/2 experimental setup; Kaon beam
PK spectra, 60±3 GeV/c
Simultaneous K+ and K- beams: large charge symmetrization of
experimental conditions
Beams coincide within ~1mm all along the 114m decay volume
flux ratio K+/K- ~1.8
2003 + 2004 run: ~ 6 months, ~ 2 1011 K± decays in flight
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NA48/2 detector and performances
Magnetic spectrometer : • He tank to minimize multiple scattering • 4 high-resolution DCH’s + dipole magnet • Δp/p = (1.02 ⊕ 0.044 p)% (p in GeV/c) • Very good resolution for charged
invariant masses:σ(M3π±)= 1.7 MeV/c2
LKr electromagnetic calorimeter : • quasi-homogenous and high granularity • Δ E/E = (3.2/√E ⊕ 9.0/E ⊕ 0.42)% (E in GeV) σx=σy~1.5mmforE=10GeV• Very good resolution for neutrals(π0àγγ) σ(Mππ0π0)= 1.4 MeV/c2
• E/p ratio can be used for e/π separation
Hodoscope for fast charged trigger
precise time resolution σt= 150 ps
Decay region expands over ~114m Detector expands over ~50 m
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Chiral Perturbation Theory and Kaon decays • KaondecaysareaperfectlaboratorytostudyChPT(QCDatlowenergy)
-seetheorytalksthisweek-K± à π± l+ l- , K± à π± γ γ , K± à π± π0 γ , K± à π± π0 γ* à π± π0 e+ e- and many more..πeePLB677(2009),πµµPLB697(2011),πγγPLB730(2014),ππ0γ EPJC68(2010)• Whatissospecialabout π± π0 e+ e- decay?H.Pichl,EPJC20(2001)371 L.Cappiello,O.Catà,G.D’Ambrosio,D.GaoEPJC72(2012)1872L.Cappiello,O.Catà,G.D’Ambrosio,EPJC78(2018)265
• Neverobservedsofar:canBRmagnitudeconfirmChPTpredic`onsofDEcontribu`on?
• Ifafineanalysisispossible:
>signofinterferenceterm(IB,E)>Magne`ctermthrough(IB,M)interference>ChargeasymmetryasdirectCPviola`on
DE(M,E)
IB
Event selection : signal and normalization
Signal:π± π0 e+ e- = π± γ γ e+ e- - Final state: 3 charged track and 2 photons forming a π0 pointing to the same decay vertex. One more γ wrt norm mode - Closed kinematics: constraints on Mπ0, MK - Subject to BR (π0γγ)=98.823%
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Normaliza`on:π± π0D=π± e+ e- γ
- Final state: 3 charged tracks and 1 photon forming, with 2 opposite sign tracks, a π0 pointing to the same decay vertex - Closed kinematics: constraints on Mπ0D, MK - Very abundant: BR (ππ0) x BR (π0D)
20.67% x 1.174% = 2.425 10-3
SameTriggerchain:L1:>1HODquadrant(outof16)L2:DCHtrackbasedkinema`cs
HODLKr
Photons:ELKrwithin[3,60GeV]Chargedpar`cles:noPID,butusekinema`cconstrainttomaximizegeometricalacceptance
Event selection: signal and normalization
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Signal: π± γ γ e+ e- Normaliza`on=π± e+ e- γRequire3goodqualitytracksformingavertexinthefiducialdecayregion
+twogoodqualityphotonclusters+onegoodqualityphotoncluster• AssignelectronmasstothetrackwithQoppositetovertexcharge(K+orK-)• Forboth(me,mπ) assignmentstosame-chargetracks,computereconstructedMπ0and
MKtobeinawiderangeandcheckkinema`ccorrela`on
|Mπ0–MPDG|<15MeV/c2|MK–MPDG|<45MeV/c2
|Mπ0–0.42MK+73.2MeV/c2|<6MeV/c2(massesinMeV/c2)
>99%intheband
96.5%intheband
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Backgrounds
Normalization: • Semileptonic Kl3D = Ke3D, Kmu3D πo
D is correctly reconstructed (e+e- γ)π mass assigned to the e or mu track
• Resulting fractions: Nbn / Nn = (0.106 ± 0.001)% Kmu3D : 0.064% Ke3D : 0.042%
Signal: • KππoπoD with one photon lost/
merged: suppressed by (Mππo)2 > 0.12 GeV2/c4
• KππoD with an extra photon: suppressed by |Meeγ – Mπo| > 7 MeV/c2
• Resulting fractions: Nbs / Ns = (4.9 ± 0.4)% K3piD : 2.7% K2piD : 2.1 % Ke3D : 0.1%
• Large simulated samples used to compute acceptances • Contribution estimated from acceptances and BRs
Normalization : large very pure sample
Normalisa`onKππ0D:• Kππ0generatorcodeincluding1realphotonemission-GapEPJC45(2006)• π0Ddecaysincluding1extraphotonemission-Husek,Kampf,NovotnyPRD92(2015)• alsoπ0Ddecaysincludingextraphoton(s)emission-PhotosWasetalCPC79(1994)
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B/(S+B)=0.106%IncludeHKN(“Prague”)radcor.
rms=4.5MeV/c2
Normaliza`oncandidates
16316690(4039)
Background 17292(159)
A(radcorHKN) 3.981(2)%
Mee(GeV/c2)
rms=1.8MeV/c2
Signal : small clean sample
SignalKππ0ee:dominatedby• IB(99%),thenDE(M)(1.39%)andINT(IB,E)(0.39%nega`ve):independent
genera`ons(IB,M,INT(BE))withdifferentacceptancescombinedasAeffaccordingtorela`vecontribu`ons
• Rad.cor.addingextraphoton(s)emissionusingPhotos
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rms=3.0MeV/c2 rms=7.8MeV/c2
Signalcandidates 4919(70)
Background 241(20)
A(radcor)IB 0.645(1)%
A(radcor)eff 0.662(1)%
B/(S+B)=4.9%IncludePhotosradcor
Mee(GeV/c2)
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Branching ratio measurement ingredients
Normaliza`oncandidates
16316690(4039)
Background 17292(159)
A(radcorHKN) 3.981(2)%
L1efficiency 99.767(3)%
L2efficiency 98.495(6)%
Signalcandidates 4919(70)
Background 241(20)
A(radcor)eff 0.662(1)%
L1efficiency 99.73(1)%
L2efficiency 98.60(2)%
Source δBR/BRx102
Ns 1.426
Nbs 0.416
Nn 0.025
Nbn Negl.
As(MCstat) 0.171
An(MCstat) 0.051
L1nxL2n(MCstat) 0.007
L1sxL2s(MCstat) 0.023
A(geometrycontrol) 0.083
A(`mevaria`on) 0.064
Triggerefficiency 0.400
Modeldependence 0.285
Radia`veeffects 0.490
BRππ0 0.87
BRπ0D/BRπ0γγ 2.946
stat1.486
syst0.777
external2.971
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Branching ratio measurement @ NA48/2
BR=(4.237±0.063stat± 0.033syst±0.126ext)10-6=(4.237±0.145)10-6
CurrentlydominatedbyexternalerroronBR(π0D)InperfectagreementwithChPTcalcula`onsfromEPJC78(2018),noRadCor,noIsospinbreakingCor
IBonly IB+DE+INT4.18310-6 Total4.22910-6
Gooddata/MCagreementofthemeespectraoverseveralordersofmagnitude
Further studies
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• CurrentBRmeasurement:~3%precision• Expectedrela`vecontribu`onofDE(M)term:~1%• Expectedrela`vecontribu`onofINT(BE)term:evensmallerNowaytoextractDEorINTcontribu`onsfromtheBRmeasurementBUT• Cappielloetalsuggestedtolookatmee~50MeV/c2whereIB,DE,INTcontribu`ons
populatedifferentlythe(Eγ*,T*π)plane.• Toofewsta`s`cs,insteadstudythewhole3D-space(q2,Eγ*,T*π)inagridof3D-
boxesofequaldatapopula1ons(N1bandsinq2,thenN2bandsinT*π,thenN3bandsinEγ*)
• Distributesimulatedeventsandbackgroundoverthesamegridasthedata. • Minimizea χ2 es`matortofinda=DE/IB,b=INT/IBandN(overallnorm)
In3D-boxi:Ni(δNi)=dataevents(error)Mi(δMi)=MCevents(error)Ni
Bkg=Bkgevents
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3D-kinematic space study (N1=3, N2=5, N3=6)
Fitresult:χ2=98.2/87,p-value=19% ChPTpredic`onsM/IB=0.0114±0.0043stat M/IB=0.0141±0.0014extBE/IB=-0.0014± 0.0036stat BE/IB=-0.0039± 0.0028ext Goodagreementbutlimitedprecision!
q=37.7521.11MeV/c2
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What else ? Asymmetries !
NA48/2hasaccumulatedK+andK-decaysconcurrentlyallowingasymmetrystudieswithreducedsystema`cs.MeasureBR(K+)andBR(K-)asindependentquan``esandevaluate:Sta`s`csisevenmorelimitedasK+/K-~1.8atproduc`ontargetBR(K+)=(4.151±0.078stat)x10-6 BR(K-)=(4.394± 0.108stat)x10-6
ACP=-0.0284±0.0155statorsingle-sidedUL
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Other CP Asymmetries
Par`alintegra`onintheangularspaceallowstobuildotherasymmetries:
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Asymmetries
Compu`ngBRforK+andK-ineachΦ“sector”oftheangularspace:ACP(Φ*)=-0.0119±0.0150statACP(Φ~)=0.0058±0.0150statBothareconsistentwith0,givingsinglesidedULAnotherP-viola`ngasymmetrycanbedefinedforK+,K-andcombinedifconsistentK+:AP
(L)=0.0059±0.0180,K-:AP(L)=-0.0166± 0.0237,K±:AP
(L)=-0.0023± 0.0144
Summary and prospects • NA48/2hascollectedacleansampleof~5000π π0e+e-decay candidateswithless
than5%background:firstobserva`onleadingtoa3%BRmeasurementinperfectagreementwithChPTpredic`ons.
smallsamplebutrichsourceofinforma`on• BR=(4.24± 0.07exp±0.13ext)x10-6totaluncertaintydominatedbyexternalerrorexperimentalerrordominatedbysignalsta`s`cssystema`cscouldbenefitfrombeyerconsidera`onofradia`veeffects• Firstevalua`onoftheMcontribu`on(1.1±0.4)%,inagreementwithChPTpredic`on• Severalasymmetriesinves`gatedwithsingle–sidedULof~2%@90%CLdiscussionwiththeoristsismostimportantforacorrectandpreciseformula`onofradia`veandisospinbreakingcorrec`ons
PLB 788 (2019) 552
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ProspectstocollectmoredecaysinthecurrentNA62run:• requiring3tracks+largeelectromagne`cenergyincompa`blewithπ νν trigger• parasi`c3-tracktriggerdownscaledbyalargefactor:nowaytocollectmore
datathanin2003-2004withthistrigger(1.741011chargedkaondecaysanalyzed)• couldbestudiedinRun3a{erLS2(2021-2023)withadedicatedtriggerandthe
caveatthatgeometricalacceptanceislowerthan@NA48/2
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Spares
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Background estimate
AKl3~10-4,An~410-2
AK3πD~210-6,AK2πD~0.210-6
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Acceptance
Aeff = [A(IB) + 1/71 A(DE) – 1/253 A(INT)]/[1 + 1/71 – 1/253] INT(B-M) and INT(E-M) cancel in the angular integration E term is order of magnitude smaller than M 1/71 = (M/IB) predicted using NM
(0) = +0.0285(14) -1/253 = (B-E/IB) predicted using NE
(0) = +0.0022(7) and “large” % NE(1,2) values
NE(1) = −0.0167(13),NE
(2) =+0.089(11), L9 = 0.0069
NM
(0) comes from XM = (254 ± 6 ± 6) GeV-4
NE(0) comes from XE = ( -24 ± 4 ± 4) GeV-4 , both from EPJ C68
A(IB) = (0.645 ± 0.001)% A(DE) = (1.723 ± 0.003)% A(INT>0) = (1.933 ±0.004)% A(INT<0) = (1.805 ± 0.005)% A(INT) = (0.288 ± 0.001)% (56% INT>0, 44% INT<0) Aeff = (0.662 ± 0.001)%
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3D-space: IB,DE,INTpopulatedifferentlythe(Eγ*,T*π)plane
BEcontribu`onis<0atlowq2values
BEcontribu`onchangessignwithincreasingq2valuesBEcontribu`onIs>0forlargeq2values
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Asymmetries
ACP≈sinδ sinΦΕ
ACPΦ*≈cosδ sinΦΜ
ACPΦ~≈cosδ sinΦAP
(L)≈NM(0) sinδ
Strongphaseoftheππ0system,Φ CPviola`ngphase
ΦE,ΦM