CKM Angles a (f2) and g (f3) f2 : B0 p+p-, r+r-, r+p- f3 : B DK, D(*)+p - Future ProspectY.Sakai (KEK)(Introduction of TCPV analysis: previous speaker)

f2 measurementmixingTime-dependent CPVACP (Dt) = S sin(DmDt)S = x sin2f2 (x = CP eigenvalue)Tree B0B0AA-

f2 measurementmixingPenguin Tree S x sinf2 ACP (Dt) = S sin(DmDt) + A cos (DmDt) Mixing induced CPVDirect CPV(C = -A : BaBar)

Effect of Penguin on f2 M. Gronau and D. London, PRL 65, 3381 (1990)Isospin relationEW Penguin neglected(isospin breaking)

Continuum SuppressionDominant Background for rare decays:ContinuumJet-likeBB spherical e+e- qq continuum (~3x BB)To suppress: use event shape variables

B0 p+p Signalsenhanced in p+p signal events 68030 candidate events46733 signal events160651 Kp events total number of events used for the fitLoose cuts fit with Shape variable in PDF

B0 p+p Signals(LR>0.86) (LR

Resultsgood tagApp = +0.56 0.120.06Spp = 0.67 0.160.06Dt (ps)Dt (ps)B0 taggedB0 tagged_App = +0.09 0.150.04Spp = 0.30 0.170.03Totalbackground

New Exp. SummaryBelle 275MBABAR 227MApp~2.3s difference between Belle and BABARSppSpp- App (Cpp )

Significance(A,S)=(0,0)1-C.L.=5.6x10-8, 5.4s(A,S)=(0,0.62)1-C.L.=5.1x10-5, 4.0sLarge CP Violation, Large Direct CPVconfirm previous Belle resultsboth statistical and systematic errors are taken into account.SppAppFeldman-Cousins Analysis[hepex/0502035] App ~ -3 ACP(K+p-) 0.56 -0.113 [Gronau-Rosner, PLB 335,339(04)]

f2 (a) with isospin analysisHFAG winter 2005B(p+p0) 5.5 0.6B(p+p-) 4.5 0.4B(p0p0) 1.5 0.3 x10-6A(p0p0) 0.28 0.4 New BaBar B(p+p-)not included

B0 r+r CPVB VV: not CP eigenstate in generalr+ p+p0: wide resonance B(r0r0)

B0 r+r signalfL= 0.978 0.0140.0200.028[hepex/0503049]

B0 r+r signalB = 24.4 2.2 x 10-6 3.84.1NewfL= 0.951 0.0290.0310.0330.039Preliminary[Belle-CONF-0545]continuumb cb uHelicityMppsignalsignalcontinuumr ppcontinuum

Fit ResultsS = +0.09 0.420.08A = 0.00 0.30 0.100.09Dt (ps)Dt (ps)S = -0.33 0.24 A = 0.03 0.180.090.080.14PreliminaryGood tagsignalbackground[Belle-CONF-0545][hepex/0503049]B0 taggedB0 tagged_

r+r Isospin analysisf2 = 96 13 deg.add new Beller+r: B, S, A76 < f2

B0 r+p CPVB0 r+p : not CP eigenstate, same diagram as p+p Mixing CPV with 4 amplitudes (complicated) B0 p+pp0 : Dalitz[BaBar PRL 91,201802(03); Belle PRL94,121801(05)]s-= m(p-p0)2s+=m(p+p0)2A3p= f+ A+-+ f- A-++ f0 A00fi (s+, s-) : form factors (Breit-Wigner)A(r ip j) = Aij =eif2 T ij + P ij P00 = -(P+-+P-+)/2Fit to Dt, Dalitz dist. f2 w/o discrete ambiguity !r+pr+pr-p+

Dt-Dalitz Fit ResultsPreliminarym(p-p0)2m(p+p0)2mqtransformationSquare Dalitz[hepex/0408099]

r+p Dalitz: Constraint on f2 f2 = 113 6 deg.2717[hepex/0408099]

Summary of f2 f2 = 99 deg.12 9

f3 measurement_fCOMfCOMinterferenceSimple mixing CPV f3 (with Bd )+Tree l3l3Tree

f3 : GWL & ADS method1) fCOM = DCP Gronau-Wyler-London[PLB 253,483; 265,172(91)]D0/D0 p+p-/ K+K- (CP=+1) , KSp0/h/f/w..(CP= -1) 2) fCOM = DDCSD Atwood-Dunietz-Soni[PRL 91,171801(03)]ex) B+ D0[K-p+] K+ & D0[K-p+] K+ __Measurements have been done, but only give loose constraint on f3 need more data-1.00.01.00.01.0

New method: Dalitz3) fCOM = D0 KSp+p- B+:B-:m+=m(Ksp+), m-=m(Ksp-) CPV: Asymmetry in Dalitz dist.:|A2||A1|r =obtainfromtagged D0(D*+ D0p+)sample

CPV in Dalitz planeMC simulationf3 = 70 deg.d = 0, r = 0.125B+B-1234Sensitivity to f3

Signal yieldsD0K*D0KD*0K[D0p0]209signals58signals36signals49 signals90 signals282 signals[hepex/0504039][hepex/0411049][hepex/0504013]

Dalitz Plots: D0KB+B-B+B-

f3 Fit Resultsf3(deg)rBrBf3(deg)D0K*D0KD*0K[D0p0]rB : different for modesD0KD*0K[D0p0/g]

f3 Results[hepex/0504039][hepex/0411049,0504013]f3 = 63 deg.1513

sin(2f1+f3): B0D(*)+p- TCPVG(B0D(*)-p+) ~ 1 + cos(Dmt) S- sin(Dmt) G(B0D(*)+p-) ~ 1 + cos(Dmt) + S+ sin(Dmt) G(B0D(*)+p-) ~ 1 - cos(Dmt) - S+ sin(Dmt) G(B0D(*)-p+) ~ 1 - cos(Dmt) + S- sin(Dmt) --Cabibbo favoredCabibbo suppressedCPCPS = 2(-1)LR sin(2f1-f3 d)d: hadronic phase,R = ~0.02ACFADCSmixingmixing induced CPV[L=0 (Dp), 1(D*p) R, d not same for Dp and D*p]l4l2[I.Dunietz, PLB 427,179(98)]B0mixingADCS ACF

Dt DistributionsB0D*p10.6K cand.(96% purity)B0B0-partial reconstructionB0-B0D*-p+CPCPFull recon.-10 -5 0 5 10 -10 -5 0 5 10Dt(ps)89.3K signalsGood tagLepton tagbackgroundD*+p-D*+p-D*-p+[hepex/0504035][PRL 93,031802(04)]D*-p+D*+p-D*+p-D*-p+

sin(2f1+f3): SummaryD*pDpDr(c~0 if d~0 or 180 deg.)

Extraction of f3?estimated formB (B Ds*-p +)[SU(3) symmetry]No significantconstraint yet !R

Summaryf2, f3: now measured (constrained) with 10~15o(68%CL)Consistent with f1+ f2+ f3 = 180o SM constraintss(f1) ~1.5o need more data for precise meas.

Future Prospect~1010 BB/year !!1.6x1034 470 fb-15x1034~1 ab-15x103510~50 ab-1LpeakLintCrabcavitiesMajor upgrade ofKEKB & Belle World HighestLuminosity !(cm-2s-1)

Future Prospect Super-B factories can pin down the f2 / f3 value.assuming the current measured values~0.5ab-1~2ab-1~8ab-1~32ab-1CurrentB pp Isospin analysis

SuperKEKB50 ab-1

Backups

Integrated LuminosityKEKB/BellePEP-II/BaBar _386M BBLP05:

Kobayashi-Maskawa SchemeCPV: due to a complex phase in the quark mixing matrixCKM matrixWolfenstein representationImportantelement of SM1(b)2 (a)3 (g)Vtd VtbVcd VcbVud Vub***Unitaritytriangle

History of App and Spp 227MBBSummer04BelleBaBarB0 p+p TCPV_[hepex/0501071, to PRL] 275MBBWinter05_[hepex/0502035, to PRL]

B0 p0p0 5.0sMbc6.0sSignal: 82 16 (6.0s) B = (1.17 0.32 0.10) x 10-6 ACP = 0.12 0.56 0.06ACP = 0.43 0.51 0.170.16Signal: 61 17 (5.0s) B = (2.32 ) x 10-6 0.440.480.220.18

f3 : GWL & ADS method1) fCOM = DCP Gronau-Wyler-London[PLB 253,483; 265,172(91)]D0/D0 p+p-/ K+K- (CP=+1) , KSp0/h/f/w..(CP= -1) 2) fCOM = DDCSD Atwood-Dunietz-Soni[PRL 91,171801(03)]ex) B+ D0[K-p+] K+ & D0[K-p+] K+ __

D0K Dalitz : Fit ResultsDKD*KDKD*KDK*

f (m+2,m-2) :D*D0[Ksp+p-]pM(Ksp+)K*-r0