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Measurements related to CKM matrix elements

  •    Vud :
Source Experiment Value Error Reference
Nuclear super-allowed (PDG)   0.9740 0.0010 nucl-th/9809087, 1998
Neutron decays   0.9755 0.0019 hep-ph/0104062
Pion decays   0.967 0.016  PDG
Value used : Weighted Mean : Vud = 0.97394 +/- 0.00089
  • Vus :
Source Experiment Value Error Reference
Hyperon semi-leptonic decays   0.2176 0.0026 Z-Phys.C21(1983)27
PDG (Ke3 decays)   0.2196 0.0023 PDG
Value used : Report Hera-B 00-012, 2000, Vus = 0.2200 +/- 0.0025
  • Vub :
Source Experiment Value Error Reference
Inclusive Semi-leptonic 
B decay
LEP 4.04E-03 (+/- 0.44(exp) +/-0.55(model))E-03 hep-ph/0104062
Exclusive Semi-leptonic 
B decay
CLEO 3.25E-03 (+/- 0.29(stat) +/- 0.55(theo))E-03 hep-ph/0104062
Value used: Weighted Mean: Vub = (3.48 +/- 0.23 (stat)+/-0.55(syst))E-03
  • Vcd
Source Experiment Value Error Reference
Dimuon production in neutrino-nucleon scattering CDHS, CCFR, CHARM-II 0.224  0.014 Report Hera-B 00-012, 2000
  • Vcs
Source Experiment Value Error Reference
Hadronic W decays using unitarity LEP2
OPAL
0.989
0.969
0.016
0.058
PDG
CERN_EP-2000,2000
Neutrino charm production and semi-leptonic decays of D CDHS, CCFR, CHARM-II 1.04 0.16 Report Hera-B 00-012, 2000
Value used: OPAL measurement (not using unitarity condition), Vcs =  0.969 +/- 0.058
  • Vcb
Source Experiment Value Error Reference
Inclusive decays CLEO
 

LEP

41.0 E-03
 

40.76 E-03

((+/- 1.0(exp) +/-2.0(syst)             +/-  2.05(theo)) E-03

(+/- 0.41(exp) +/-2.04(theo)) E-03

 hep-ph/0104062
 

hep-ph/0104062

Exclusive decays CLEO,LEP 40.2  E-03 (+/- 3.8(exp) +/- 1.9(theo)) E-03 hep-ph/0104062
Value used: Weighted Mean: Vcb =  (40.75 +/- 0.40(stat)+/- 2.0(syst)) E-03
  • Vtb
Source Experiment Value Error Reference
Top Decays Branching Ratios CDF 0.99 0.15 CDF/PUB/TOP/CDFR/5028 (1999)
  • Vts2 Vtb2 / Vcb2
Source Experiment Value Error Reference
sg penguin decays CLEO,ALEPH 0.93 +/- 0.14(exp) +/-0.08(syst) hep-ph/0104062
  • DM_Bd
Source Experiment Value Error Reference
Bd - Bdbar mixing World average 0.487  0.014 LEP B Oscillation Working Group
Source Experiment Value Error Reference
Bs - Bsbar mixing World average Limit:  > 14.9ps-1 @95%C.L.   LEP B Oscillation Working Group
  • Epsilon K
Source Experiment Value Error Reference
K decays   2.271 E-03  0.017 E-03 hep-ph/0104062
  • sin(2beta)
Source Experiment Value Error Reference
B decays CDF 0.79 0.43 Phys.Rev. D61, 072005(2000)
B decays ALEPH 0.93 0.91 ALEPH 99-099
B decay  BaBar 0.59 0.14+/-0.05  hep-ex/0107013
B decay  Belle 0.99  0.14+/-0.06 Lepton Photon Conference
Value used: Weighted Mean: sin2beta =  0.793 +/- 0.102(stat+syst) Caution:
  • This weighted average uses Gaussian priors for the experimental systematic uncertainties, since the experiments themselves have obtained their final systematic errors from the quadratic sum of the individual contributions.
  • The average does not take into account properly the correction and correlation introduced by the B0 mass difference.
  • Theoretical Parameters

    • GF  (not fitted)
    Source Value Error Reference
    Muon lifetime 1.16639 E-05 GeV-2  0.00001 E-05 PDG
    • mW  (not fitted)
    Source Value Error Reference
    LEP + CDF,D0 80.418 GeV  0.037 Moriond 2000
    • mc  (not fitted)
    Source Value Error Reference
      1.3 GeV  0.2 PDG
    • mt-MSbar(mt)
    Source Value Error Reference
    Top decays 166.0 GeV  5.2  
    • parameters for delta_M_Bd
    Parameter Source Value Error Reference
    EtaB  Lattice 0.55 0.01 hep-ph/0104062
    MBd (not fitted) B decays 5.2792 GeV 0.0018 PDG
    FB_Bd sqrt(Bagd) Lattice 0.230 GeV 0.028 +/- 0.028 hep-ph/0104062
    • parameters for delta_M_Bs
    Parameter Source Value Error Reference
    EtaBs  Lattice 0.55 0.01 hep-ph/0104062
    MBs (not fitted) Bs decays 5.3692 GeV 0.0020 PDG
    xi Lattice 1.16 0.03 +/- 0.05 hep-ph/0104062
    • paramaters for epsilon_K
    Parameter Source Value Error Reference
    FK (not fitted) Leptonic decay rate of leptons 0.1598 GeV 0.0015 PDG
    MK (not fitted) K decays 0.493677 GeV 0.000016 PDG
    DM_K (not fitted) K oscillations (3.489 E-015) GeV 0.009 E-15 PDG
    BK  Lattice 0.87 0.06 +/- 0.13 hep-ph/0104062
    Etacc  Lattice 1.38 0.53 hep-ph/0104062
    Etatt (not fitted) Lattice 0.574 0.004 hep-ph/0104062
    Etact  (not fitted) Lattice 0.47 0.04 hep-ph/0104062
     
     
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    Last update: Sep 20, 2001