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					sin2f1/sin2b via penguin processes

               Beauty 2006
          Sep.25-29, Univ. of Oxford
         Yutaka Ushiroda (KEK)
 Introduction
Time-Dependent CP asymmetry in B0 decays
b  ccs tree                    _
           _                    c
              b                     J/Y
                                c                 S   f sin 2f1
        B0              w
                                _
                                s
                                                  A   C  0
              d
                                d    K0
b  sqq penguin
              _      w          _
                                                  S   f sin 2f1eff
              b     t       g
                                s   f, h’...
        B0                      s
                                _                 A 0
              d                 s
                                d    K0
Extra CPV phase from New Physics           sin 2f1  sin 2f1eff  sin 2f1  0
SM Contamination
 sin 2f1  0 within the SM                                                         Im Vts   0 at O   4 
                                                                                 1 2 2  4 8                                            A 3    ih  
Need to know the size to claim NP                                                                                                                           
                                                                     V        A2 5  1    ih 
                                                                                            2                                 
                                                                                                                 1   2 2  A2  8  4
                                                                                                                                2
                                                                                                                                    1
                                                                                                                                                 A 2         O  
                                                                                                                                                                     6

                                                                         2 3
                                                                         A  1    ih   A2  5    ih   A 2  A 4  1    ih                  
                                                                                                                                                             
                                                                                             2                                 2                   1        

                                                                                                                           a Positive sin2f1
    Tree (Vub) contamination
                                                                                                                                                   W
                                                                                                      u-quark penguin
P                          P’                 T                       T’
                                                                                                                                                        u        s
        
                                                                                                                                              b
                                W                                                                                                                               s
                  2                     2
    W                                                                                                                                                   g
            t                        t                                        W
                                                                                           u          ~Vub* Vus                              d                   s
                                                            4
b                  s        b             s   b                  u                         s
                                                                                                                                                                 d
                                                                                   4
            g          s             g    d                      u
                       s                      d        W               b                  u
d                           d             d                      s                         s
                       d                  d                             d                  s
                                                                 d                         d

                mode            CP      P        P’        T         T’                                        Long distance effect
                fKs             1                                  
                KsKsKs          +1                                  
                K+K Ks         ~+1                                 
                hKs                                              
                f0Ks                                              
                Ks                                               
                Ks                                              
 Theoretical estimates of sin2f1/b
Short distance effect                                               QCDF
QCDF:
Beneke, PLB 620, 143 (2005)
Cheng, Chua, Yang, PRD 73, 014017 (2006)
pQCD:
Mishima, Sanda, PRD 72, 114005 (2005)
SCET:
Williamson, Zupan, PRD 74, 014003 (2006)

                                                                Lazzaro’s talk
                                                                at ICHEP06

Long distance effect (is small)
Cheng, Chua, Soni, PRD 72, 014006 (2005)      .           .        .2
                                                                    sin2f1/b
                                           Three theoretically-clean modes


Reviewed in hep-ph/0605301 (talk by Chua in FPCP06)
Status before summer
                                                                KS : KSg
Reconstruction modes                                            KS : KSg

         Belle                   535MBB        BaBar               347MBB
         fgKKKS     fgKSKLKS              Time-dependent
 fK0     fgKKKS                                  Dalitz analysis
          fgKKKL
                                                        K+KKS
 f0K0             f0gKS
                                                        K+KKS00
KKK0           KKexcl. fKS                       K+KKL
            h’(ggKS          h’(ghggKS         h’(gh3KS
 h’K0       h’(ggKS          h’(ghggKS         h’(gh3KS
            h’(ggKL             h’(ghggKL           h’(gh3KL

 3KS              KSKSKS                          KSKSKS

 KS0                                     KS

 KS                                 gKS
                                                                KS : KSg
Reconstruction modes                                            KS : KSg

         Belle                535MBB          BaBar                347MBB
         fgKKKS     fgKSKLKS              Time-dependent
 fK0     fgKKKS                                  Dalitz analysis
          fgKKKL
                                                        K+KKS
 f0K0             f0gKS
                                                        K+KKS00
KKK0           KKexcl. fKS                       K+KKL
           h’(ggKS          h’(ghggKS          h’(gh3KS
 h’K0       h’(ggKS         h’(ghggKS          h’(gh3KS
            h’(ggKL             h’(ghggKL           h’(gh3KL

 3KS             KSKSKS                           KSKSKS

 KS0                                    KS

 KS                                 gKS
                                                                     hep-ex/0607112

         BgKKK0 Time-dependent Dalitz
347MBB


  Intermediate resonances ( f(1020)K0, f0(980)K0, X0(1550)K0, cc0K0, DK, DsK)
  and NR
 Obtain CP parameters for 2-body and 3-body modes
  simultaneously
  +   
  K K KS
  K+KKS00
  K+KKL
                                       1516  65
                                       KKK0 signal
         K  K  K S whole DP                                             hep-ex/0607112

                 B 0 tag
                                               b measurement (not sin2b)
                  0
                 B tag                         ACP  0.034  0.079  0.025
347MBB
                                               beff  0.361  0.079  0.037

                                                                                 exclude
                                                                                 at 4.6s




 Fit to low KK mass region (<1.1GeV)                                First in f0gKK
         ACP f K 0   0.18  0.20  0.10      A CP  f 0 K 0   0.45  0.28  0.10
          beff f K 0   0.06  0.16  0.05      b eff  f 0 K 0   0.18  0.19  0.04



    fK0: sin2beff = +0.12  0.31(stat)  0.10 (syst)
                                                         Cf. BaBar 2005        0.50  0.25+0.07
                                                                                          0.04
         B0 g fK0
                                                   hep-ex/0608039



535MBB

 fgKK, KSg 24618              fgKK   114  17
 fgKK, KSg 409
 fgKSKL, KSg 227                         fKL signal
New mode         30721 fKS signal   B0 momentum
         B0 mass                         (bkg subtracted)
         TCPV in B0 g fK0
                                                                         hep-ex/0608039



535MBB

  “sin2f1” = 0.50  0.21(stat)  0.06(syst)
      A    = 0.07  0.15(stat)  0.05(syst)
t distribution and asymmetry


                                       Consistent with the SM (~1s lower)
                                       Consistent with Belle 2005
                                              (Belle2005: “sin2f1” = +0.44.27.5



                                 fKS and fKL combined
               unbinned fit      background subtracted
                                 good tags
               SM
                                 t g –t for fKL
                                                            hep-ex/0609006
         TCPV in B0 g f0KS
535MBB                             f0g

           B0 mass                               Raw Asymmetry




377  25 f0KS signal
                        mass             good tags




  “sin2f1” = .8  0.23(stat)  0.11(syst)
      A    = .5  0.15(stat)  0.07(syst)
                                                           hep-ex/0609006
         TCPV in B0 g KKKS
535MBB

                                        Raw Asymmetry
             B0   mass




          840  34                     good tags
          KKKS signal


                                    mixture of CP even and odd states
                                          f   0.93  0.09  0.05 (2005)

“sin2f1” = .68  0.15(stat)  0.03(syst) +0.21(CP-even)
                                           0.13
    A    = .9  0.10(stat)  0.05(syst)
                                                                 KS : KSg
 Reconstruction modes                                            KS : KSg

         Belle                  535MBB        BaBar                    347MBB
         fgKKKS     fgKSKLKS              Time-dependent
 fK0     fgKKKS                                  Dalitz analysis
          fgKKKL
                                                        K+KKS
 f0K0             f0gKS
                                                        K+KKS00
KKK0           KKexcl. fKS                       K+KKL
           h’(ggKS          h’(ghggKS          h’(gh3KS
 h’K0       h’(ggKS         h’(ghggKS          h’(gh3KS
            h’(ggKL             h’(ghggKL           h’(gh3KL

 3KS             KSKSKS                           KSKSKS

 KS0                                    KS

 KS                                 gKS
          B0 g h'K0
                                                              hep-ex/0608039



535MBB
                B0 mass
                                                     B0 momentum
                                                       (bkg subtracted)




 h’ g      Ks()   794  36    h’h(2g) KL 392  37
    h(2g) Ks()   363  21     h(3) KL    62  13
    h(3) Ks()   100  11    Total          454  39
   g       Ks()   103  15
   h(2g) Ks()      62  9
 Total                  1421  46
         TCPV in B0 g h'K0
                                                                      hep-ex/0608039



535MBB

  “sin2f1” = 0.64  0.10(stat)  0.04(syst)
      A    = 0.01  0.07(stat)  0.05(syst)
t distribution and asymmetry

                                   Consistent with the SM
                                   Consistent with Belle 2005
                                         (Belle 2005: “sin2f1” = +0.62.2.4
                                   First observation of TCPV
                                   (5.6s in a single b g s mode
                                 h'KS and h'KL combined
                                 background subtracted
                                 good tags
                                 t g –t for h'KL
                           hep-ex/0607100
         B0 g h'K0
347MBB


                     936  41
                     h'KS signal




                     168  21
                     h'KL signal
                                                         hep-ex/0607100
         TCPV in B0 g h'K0
347MBB

  “sin2b” = 0.55  0.11(stat)  0.02(syst)
      A   = 0.15  0.07(stat)  0.03(syst)
  “sin2b” 4.9s from zero.
                    Cf. BaBar 2005: “sin2b” = +0.36  0.13  0.03
            B0                           B0

                0                           0
            B                           B




                      h K S                    h K L
                                                                 KS : KSg
 Reconstruction modes                                            KS : KSg

         Belle                  535MBB        BaBar                    347MBB
         fgKKKS     fgKSKLKS              Time-dependent
 fK0     fgKKKS                                  Dalitz analysis
          fgKKKL
                                                        K+KKS
 f0K0             f0gKS
                                                        K+KKS00
KKK0           KKexcl. fKS                       K+KKL
           h’(ggKS          h’(ghggKS          h’(gh3KS
 h’K0       h’(ggKS         h’(ghggKS          h’(gh3KS
            h’(ggKL             h’(ghggKL           h’(gh3KL

 3KS             KSKSKS                           KSKSKS

 KS0                                    KS

 KS                                 gKS
                Vertex Reconstruction with KS
                                                  Extrapolate KS track to the
                          Ks track            Interaction Point
                                                   Vertex reconstruction efficiency with a
                                                   single KS :
                                                   30 to 45% (Belle), 60% (BaBar KS)
                                      IP profile
                 BCP vertex                        Events without the vertex can still be
                                                   used for A-term measurement.


                    J/yKS with the KS Vertexing          Validity confirmed with J/yKS as
Raw asymmetry




                                                         a control sample.

                                                              sin2f1  0.68  0.06
                           good tag
                                                                 hep-ex/0608039
         TCPV in B0 g KSKSKS
535MBB

  “sin2f1” = 0.30  0.32(stat)  0.08(syst)
      A    = 0.31  0.20(stat)  0.07(syst)
                                 t distribution and asymmetry
           B0 mass




                                                             background
                                                               subtracted
15714        KS  KS  KS                               good tags
289          KS  KS  KS00
185  17      total
                                                       hep-ex/0607108
           TCPV in B0 g KSKSKS
347MBB

  “sin2b” = 0.66  0.26(stat)  0.08(syst)
      A   = 0.14  0.22(stat)  0.05(syst)
                                       t distribution and asymmetry
   11612         KS  KS  KS
   6012          KS  KS  KS00
   176  17       total
    KS KS K S




    KS KS K S00
                          mB & mmiss
                          instead of
                          mES & E
                                       hep-ex/0607096
         TCPV in B0 g  KS
347MBB




            425  28
             0KS signal




     missing mass & mB


    “sin2b” = 0.33  0.26(stat)  0.04(syst)
        A   = 0.20  0.16(stat)  0.03(syst)
         TCPV in B0 g  KS
                                            hep-ex/0609006



535MBB

                                Raw Asymmetry
              B0 mass




          515  32                  good tags
           0KS signal



  “sin2f1” = .33  0.35(stat)  0.08(syst)
      A    = .5  0.14(stat)  0.05(syst)
         TCPV in B0 g KS
                                               hep-ex/0609006



535MBB
                               Raw Asymmetry




         118  18
         KS signal
                               good tags
          B0 mass



    “sin2f1” = .  0.46(stat)  0.07(syst)
        A    = .9  0.29(stat)  0.06(syst)
                                                   hep-ex/0607101
         TCPV in B0 g KS
347MBB

         142  17 KS signal           B0

                                           0
                                       B




     “sin2b” = 0.62           +0.25
                               0.30   (stat)  0.02(syst)
         A   = 0.43           +0.23
                               0.25   (stat)  0.03(syst)
Summary
                           Smaller than bgccs
                           in all of 9 modes
                           Theory tends to predict SM
                           contamination in positive side


                          Naïve average of all b g s modes
                          sin2beff = 0.52 ± 0.05
                          2.6 s deviation




More statistics crucial for mode-by-mode studies

				
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