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CKM Angles a ( f 2 ) and g ( f 3 )

CKM Angles a ( f 2 ) and g ( f 3 ). f 2 : B 0  p + p - , r + r - , r + p - f 3 : B  DK, D (*)+ p - Future Prospect. (Introduction of TCPV analysis: previous speaker). Y.Sakai (KEK). _ _ d. p/r +. W. u. V ub. p/r -. u. d. d. 0 d. B. *. V u d V ub. b.  2 (a).

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CKM Angles a ( f 2 ) and g ( f 3 )

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  1. CKM Angles a (f2) and g (f3) • f2 : B0p+p-, r+r-, r+p- • f3 : B  DK, D(*)+p - • Future Prospect (Introduction of TCPV analysis: previous speaker) Y.Sakai (KEK) PIC05, Pｒague

  2. _ _ d p/r+ W u Vub p/r- u d d 0 d B * VudVub b 2(a) * Vtd Vtb Vud  3(g) 1(b) Vcd Vcb * f2 measurement mixing A B0 ｆｃｐ - B0 A ACP (Dt) = S sin(DmDt) Tree S= x sin2f2 (x = CP eigenvalue) Time-dependent CPV PIC05, Pｒague

  3. W _ _ d Vtb t p/r+ W u d g p/r+ u u Vub 0 d B p/r- p/r- d d u d d 0 d B * VudVub b b 2(a) * Vtd Vtb Vtd Vud   3(g) 1(b) Vcd Vcb * f2 measurement mixing Penguin Tree (C = -A : BaBar) ACP (Dt) = S sin(DmDt) + A cos (DmDt) S¹x sinf2 Mixing induced CPV Direct CPV PIC05, Pｒague

  4. Effect of Penguin on f2 M. Gronau and D. London, PRL 65, 3381 (1990) Isospin relation EW Penguin neglected (isospin breaking) PIC05, Pｒague

  5. qq e- e+ Other B continuum Y (4S) e+ e- - BB Signal B Continuum Suppression Dominant Background for rare decays: Continuum e+e-qq “continuum” (~3x BB) Jet-like To suppress: use event shape variables BB spherical PIC05, Pｒague

  6. 227M BB B0p+p Signals Loose cuts  fit with Shape variable in PDF enhanced in p+psignal events • 68030 candidate events • 467±33 signal events • 1606±51 Kp events total number of events used for the fit PIC05, Pｒague

  7. 275M BB qq BB B0p+p Signals (LR<0.86) (LR>0.86) total number of events used for the fit • 2820 candidate events • 666±43 signal events • 247±31 Kp events LR PIC05, Pｒague

  8. 275M BB 227M BB Results B0 tagged Total background _ B0 tagged Dt (ps) Dt (ps) good tag App =+0.09 0.150.04 Spp = 0.30 0.170.03 App = +0.56 0.120.06 Spp = 0.67 0.160.06 PIC05, Pｒague

  9. New Exp. Summary App Belle 275M Spp BABAR 227M ~2.3s difference between Belle and BABAR - App (Cpp ) Spp PIC05, Pｒague

  10. 275M BB Significance Large CP Violation, App (A,S)=(0,0) 1-C.L.=5.6x10-8, 5.4s (A,S)=(0,−0.62) 1-C.L.=5.1x10-5, 4.0s App ~ -3 ACP(K+p-) 0.56 -0.113 [Gronau-Rosner, PLB 335,339(04)] Large Direct CPV confirm previous Belle results Spp [hepex/0502035] both statistical and systematic errors are taken into account. Feldman-Cousins Analysis PIC05, Pｒague

  11. f2 (a) with isospin analysis HFAG winter 2005 B(p+p0) 5.5 0.6 B(p+p-) 4.5 0.4 B(p0p0) 1.5 0.3 x10-6 A(p0p0) 0.28 0.4 New BaBar B(p+p-) not included PIC05, Pｒague

  12. B0r+r CPV Similar to p+p, but more complicated … B  VV: not CP eigenstate in general r+p+p0: wide resonance Two lucky cards ! fL ~ 100%  CP » +1 B(r0r0) << B(r+r), B(r+r0) < 1.1 30  6 26  6 x10-6(HFAG Winter05) 2q A+-/ 2 small Penguin effect (q ) A00 A+0 PIC05, Pｒague

  13. 232M BB B0r+r signal fL= 0.978 0.014 0.020 0.028 [hepex/0503049] PIC05, Pｒague

  14. 275M BB B0r+r signal continuum New b  c signal b  u B = 24.42.2  x 10-6 Mpp Helicity 3.8 4.1 continuum continuum Preliminary signal r pp [Belle-CONF-0545] fL= 0.951  0.033 0.039 0.029 0.031 PIC05, Pｒague

  15. 275M BB 232M BB Fit Results B0 tagged background signal _ B0 tagged Good tag Dt (ps) Dt (ps) Preliminary S = -0.33 0.24 A = 0.03 0.180.09 S = +0.09 0.420.08 A = 0.00 0.30  0.08 0.14 0.10 0.09 [hepex/0503049] [Belle-CONF-0545] PIC05, Pｒague

  16. B0r+r- (Belle) r+rIsospin analysis add new Belle r+r: B, S, A Note: triangle does not close • experimental error ? 76 < f2 <116 deg. @90% CL f2 = 96  13 deg. PIC05, Pｒague

  17. B0r+p CPV B0r+p: not CP eigenstate, same diagram as p+p Mixing CPV with 4 amplitudes (complicated) [BaBar PRL 91,201802(’03); Belle PRL94,121801(’05)] B0p+pp0: Dalitz A3p= f+ A+-+ f- A-++ f0 A00 r+p A(r ip j) = Aij=eif2T ij+ P ij s-= m(p-p0)2 P00 = -(P+-+P-+)/2 fi(s+, s-) : form factors (Breit-Wigner) r+p Fit to Dt, Dalitz dist. f2 w/o discrete ambiguity ! r-p+ s+=m(p+p0)2 PIC05, Pｒague

  18. 232M BB Dt-Dalitz Fit Results transformation m’ Square Dalitz m(p-p0)2 m(p+p0)2 q’ Preliminary [hepex/0408099] PIC05, Pｒague

  19. r+p Dalitz: Constraint on f2 f2 = 113 6 deg. 27 17 [hepex/0408099] PIC05, Pｒague

  20. Summary of f2 f2 = 99  deg. 12 9 PIC05, Pｒague

  21. s u K+ W u c Vcb D0 s u u + d + d B B Vub D0 * VudVub b b 2(a) * c Vtd Vtb Vus Vcs   W K+ 3(g) 1(b) u u Vcd Vcb * f3 measurement Simple mixing CPV f3 (withBd ) + Tree Tree fCOM _ fCOM l3 l3 interference PIC05, Pｒague

  22. f3 : GWL & ADS method 1) 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 -1.0 0.0 1.0 0.0 1.0 PIC05, Pｒague

  23. r r New method: Dalitz 3) fCOM= D0KSp+p- B+: obtain from tagged D0 (D*+ D0p+) sample |A2| |A1| B-: r = CPV: Asymmetry in Dalitz dist.: m+=m(Ksp+), m-=m(Ksp-) PIC05, Pｒague

  24. CPV in Dalitz plane MC simulation B- f3 = 70 deg. d = 0, r = 0.125 B+ Sensitivity to f3 1 2 3 4 PIC05, Pｒague

  25. 275M BB 232M BB Signal yields [hepex/0411049] [hepex/0504013] D*0K D0K* [D0p0] D0K 58 signals 209 signals 36 signals 49 signals 282 signals 90 signals [hepex/0504039] PIC05, Pｒague

  26. 275M BB 232M BB Dalitz Plots: D0K B+ B- B+ B- PIC05, Pｒague

  27. 0 0.1 0.2 0.3 0 0.1 0.2 0.3 -100 0 100 -100 0 100 f3 Fit Results D*0K [D0p0] D0K D0K* rB f3(deg) rB : different for modes D*0K [D0p0/g] D0K rB f3(deg) PIC05, Pｒague

  28. f3 Results [hepex/0411049,0504013] f3 = 63 deg. 15 13 [hepex/0504039] PIC05, Pｒague

  29. p+ W u c Vcb D*- d d d d 0 0 D*- B B W c b u b - Vub p+ Vcd Vud   d d sin(2f1+f3): B0D(*)+p- TCPV l2 l4 ACF ADCS B0→ mixing Cabibbo favored [I.Dunietz, PLB 427,179(’98)] G(B0→D(*)-p+) ~ 1 + cos(Dmt) –S-sin(Dmt) - CP G(B0→D(*)+p-) ~ 1 + cos(Dmt) +S+sin(Dmt) mixing induced CPV mixing Cabibbo suppressed G(B0→D(*)+p-) ~ 1 - cos(Dmt) -S+sin(Dmt) - CP G(B0→D(*)-p+) ~ 1 - cos(Dmt) +S-sin(Dmt) ADCS ACF S = 2(-1)LR sin(2f1-f3 d) d: hadronic phase, R = ~0.02 [L=0 (Dp), 1(D*p) R, d not same for Dp and D*p] PIC05, Pｒague

  30. 152M BB 232M BB Dt Distributions B0→D*p Full recon. partial reconstruction 10.6K cand.(96% purity) 89.3K signals - - B0 B0 B0 B0 Lepton tag Good tag D*+p- D*+p- D*-p+ D*-p+ CP background CP D*+p- D*-p+ D*-p+ D*+p- -10 -5 0 5 10 -10 -5 0 5 10 Dt(ps) [hepex/0504035] [PRL 93,031802(04)] PIC05, Pｒague

  31. sin(2f1+f3): Summary D*p (c~0 if d~0 or 180 deg.) Dp Dr PIC05, Pｒague

  32. Extraction of f3? R estimated form B (B  Ds*-p +) [SU(3) symmetry] No significant constraint yet ! PIC05, Pｒague

  33. Summary f2, f3: now measured (constrained) with 10~15o(68%CL) Consistent with f1+ f2+ f3= 180o SM constraints s(f1) ~1.5o need more data for precise meas. PIC05, Pｒague

  34. Future Prospect World Highest Luminosity ! ~1010 BB/year !! Major upgrade of KEKB & Belle SuperKEKB Crab cavities 5x1034 ~1 ab-1 Lpeak Lint 1.6x1034 470 fb-1 (cm-2s-1) 5x1035 10~50 ab-1 PIC05, Pｒague

  35. Future Prospect assuming the current measured values B pp Isospin analysis Current ~0.5ab-1 ~2ab-1 ~8ab-1 ~32ab-1 Super-B factories can pin down the f2 / f3 value. PIC05, Pｒague

  36. Vub & f3 sin2f1 & Dmd SuperKEKB 50 ab-1 PIC05, Pｒague

  37. Backups PIC05, Pｒague

  38. 275M BB 232M BB Integrated Luminosity _ 386M BB LP05: KEKB/Belle PEP-II/BaBar PIC05, Pｒague

  39. Kobayashi-Maskawa Scheme CPV: due to a complex phase in the quark mixing matrix CKM matrix Important element of SM Unitarity triangle * VudVub Wolfenstein representation 2 (a) * Vtd Vtb 3 (g) 1(b) Vcd Vcb * PIC05, Pｒague

  40. History of App and Spp B0p+p TCPV _ Belle 275MBB Winter05 [hepex/0502035, to PRL] BaBar _ 227MBB Summer04 [hepex/0501071, to PRL] PIC05, Pｒague

  41. 275M BB 232M BB B0p0p0 Signal: 82  16 (6.0s) B = (2.32  ) x 10-6 0.44 0.48 0.22 0.18 6.0s ACP = 0.43  0.51  0.17 0.16 Mbc 5.0s Signal: 61  17 (5.0s) B = (1.17 0.32 0.10) x 10-6 ACP = 0.12  0.56 0.06 PIC05, Pｒague

  42. f3 : GWL & ADS method 1) 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+ PIC05, Pｒague

  43. D0K Dalitz : Fit Results DK* D*K DK DK D*K PIC05, Pｒague

  44. f (m+2,m-2) : D*D0[Ksp+p-]p M(Ksp+) r0 K*- PIC05, Pｒague

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