CKMfitter global fit results as of BEAUTY 09:
UT angles and sides:
UTs apex and angle:
CKM elements:
Theory parameters:
Rare branching fractions (B→lν, B→ll):
The inputs for the global fit (pdf) and lattice averages (pdf)
- Wolfenstein parameters
- UT angles and sides
- UTsangle and apex
- CKM elements
- Theory parameters
- Rare branching fractions (B→lν, B→ll)
Observable | Central ± 1 σ | ± 2 σ | ± 3 σ |
---|---|---|---|
A | 0.8123 [+0.0092 -0.0244] | 0.812 [+0.018 -0.036] | 0.812 [+0.028 -0.045] |
λ | 0.22512 [+0.00074 -0.00075] | 0.2251 [+0.0015 -0.0015] | 0.2251 [+0.0022 -0.0022] |
ρbar | 0.139 [+0.024 -0.028] | 0.139 [+0.053 -0.042] | 0.139 [+0.072 -0.054] |
ηbar | 0.342 [+0.016 -0.015] | 0.342 [+0.032 -0.026] | 0.342 [+0.048 -0.035] |
J [10-5] | 2.93 [+0.15 -0.16] | 2.93 [+0.30 -0.21] | 2.93 [+0.45 -0.25] |
Observable | Central ± 1 σ | ± 2 σ | ± 3 σ |
---|---|---|---|
sin 2α | -0.02 [+0.15 -0.13] | -0.02 [+0.23 -0.26] | -0.02 [+0.29 -0.34] |
sin 2α (meas. not in the fit) | -0.08 [+0.22 -0.22] | -0.08 [+0.31 -0.28] | -0.08 [+0.38 -0.33] |
sin 2β | 0.686 [+0.023 -0.023] | 0.686 [+0.046 -0.039] | 0.686 [+0.068 -0.054] |
sin 2β (meas. not in the fit) | 0.799 [+0.027 -0.036] | 0.799 [+0.041 -0.106] | 0.799 [+0.055 -0.161] |
|sin (2β+γ)| | 0.932 [+0.022 -0.031] | 0.932 [+0.039 -0.053] | 0.932 [+0.050 -0.074] |
α [deg] | 90.5 [+3.7 -4.3] | 90.5 [+7.5 -6.5] | 90.5 [+10.1 -8.4] |
α [deg] (meas. not in the fit) | 92.3 [+6.5 -6.2] | 92.3 [+8.3 -9.0] | 92.3 [+9.8 -11.0] |
α [deg] (dir. meas.) | 89.0 [+4.4 -4.2] | 89.0 [+9.1 -8.3] || 178.3 [+1.7 -5.6] || 0 [+5 -0] | 89 [+21 -13] || 178.3 [+1.7 -13.8] || 0 [+12 -0] |
β [deg] | 21.65 [+0.91 -0.89] | 21.7 [+1.9 -1.5] | 21.7 [+2.8 -2.0] |
β [deg] (meas. not in the fit) | 26.5 [+1.3 -1.7] | 26.5 [+2.0 -4.6] | 26.5 [+2.8 -6.7] |
β [deg] (dir. meas.) | 21.15 [+0.90 -0.88] | 21.1 [+1.8 -1.7] | 21.1 [+2.8 -2.6] |
γ [deg] | 67.9 [+4.3 -3.8] | 67.9 [+6.5 -7.9] | 67.9 [+8.4 -10.4] |
γ [deg] (meas. not in the fit) | 67.7 [+4.5 -3.7] | 67.7 [+6.6 -7.9] | 67.7 [+8.5 -10.3] |
γ [deg] (dir. meas.) | 73 [+22 -25] | 73 [+33 -39] | 73 [+45 -50] |
Ru | 0.369 [+0.015 -0.014] | 0.369 [+0.030 -0.025] | 0.369 [+0.045 -0.033] |
Rt | 0.927 [+0.028 -0.024] | 0.927 [+0.041 -0.053] | 0.927 [+0.053 -0.070] |
Observable | Central ± 1 σ | ± 2 σ | ± 3 σ |
---|---|---|---|
ρsbar | -0.0074 [+0.0015 -0.0013] | -0.0074 [+0.0023 -0.0028] | -0.0074 [+0.0029 -0.0039] |
ηsbar | -0.01826 [+0.00081 -0.00085] | -0.0183 [+0.0014 -0.0017] | -0.0183 [+0.0018 -0.0026] |
βs ≡ − arg(−Vcs V*cb/Vts V*tb) [rad] | 0.01812 [+0.00085 -0.00081] | 0.0181 [+0.0017 -0.0014] | 0.0181 [+0.0026 -0.0018] |
sin 2βs | 0.0362 [+0.0017 -0.0016] | 0.0362 [+0.0035 -0.0028] | 0.0362 [+0.0052 -0.0037] |
Observable | Central ± 1 σ | ± 2 σ | ± 3 σ |
---|---|---|---|
|Vud| | 0.97433 [+0.00017 -0.00017] | 0.97433 [+0.00034 -0.00035] | 0.97433 [+0.00052 -0.00052] |
|Vus| | 0.22512 [+0.00075 -0.00075] | 0.2251 [+0.0015 -0.0015] | 0.2251 [+0.0022 -0.0022] |
|Vub| | 0.00351 [+0.00015 -0.00016] | 0.00351 [+0.00029 -0.00024] | 0.00351 [+0.00044 -0.00032] |
|Vcb| | 0.04117 [+0.00038 -0.00117] | 0.04117 [+0.00075 -0.00161] | 0.0412 [+0.0011 -0.0019] |
|Vcd| | 0.22498 [+0.00075 -0.00075] | 0.2250 [+0.0015 -0.0015] | 0.2250 [+0.0022 -0.0022] |
|Vcs| | 0.97349 [+0.00018 -0.00017] | 0.97349 [+0.00036 -0.00035] | 0.97349 [+0.00053 -0.00052] |
|Vtd| | 0.00859 [+0.00028 -0.00029] | 0.00859 [+0.00043 -0.00049] | 0.00859 [+0.00057 -0.00064] |
|Vts| | 0.04042 [+0.00037 -0.00118] | 0.04042 [+0.00075 -0.00163] | 0.0404 [+0.0011 -0.0020] |
|Vtb| | 0.999146 [+0.000048 -0.000016] | 0.999146 [+0.000065 -0.000031] | 0.999146 [+0.000078 -0.000047] |
|Vud| (meas. not in the fit) | 0.97444 [+0.00028 -0.00028] | 0.97444 [+0.00055 -0.00056] | 0.97444 [+0.00082 -0.00084] |
|Vus| (meas. not in the fit) | 0.22544 [+0.00095 -0.00095] | 0.2254 [+0.0019 -0.0019] | 0.2254 [+0.0028 -0.0029] |
|Vub| (meas. not in the fit) | 0.00351 [+0.00015 -0.00016] | 0.00351 [+0.00029 -0.00029] | 0.00351 [+0.00044 -0.00040] |
|Vcb| (meas. not in the fit) | 0.04395 [+0.00067 -0.00396] | 0.0439 [+0.0014 -0.0047] | 0.0439 [+0.0023 -0.0052] |
Observable | Central ± 1 σ | ± 2 σ | ± 3 σ |
---|---|---|---|
Δmd [ps-1] (meas. not in the fit) | 0.560 [+0.067 -0.076] | 0.56 [+0.11 -0.13] | 0.56 [+0.15 -0.16] |
Δms [ps-1] (meas. not in the fit) | 17.6 [+1.7 -1.8] | 17.6 [+3.2 -3.5] | 17.6 [+4.1 -4.5] |
εK [10-3] (meas. not in the fit) | 2.06 [+0.47 -0.54] | 2.06 [+0.63 -0.65] | 2.06 [+0.77 -0.76] |
mc [GeV/c2] (meas. not in the fit) | 1.44 [+0.43 -0.40] | 1.44 [+0.53 -0.56] | 1.44 [+0.63 -0.73] |
mt [GeV/c2] (meas. not in the fit) | 159 [+14 -10] | 159 [+45 -14] | 159 [+60 -17] |
BK (lattice value not in the fit) | 0.79 [+0.20 -0.12] | 0.79 [+0.28 -0.16] | 0.79 [+0.37 -0.19] |
ξSU(3) (lattice value not in the fit) | 1.188 [+0.059 -0.044] | 1.188 [+0.130 -0.086] | 1.19 [+0.18 -0.13] |
fBs (lattice value not in the fit) | 0.245 [+0.010 -0.010] | 0.245 [+0.015 -0.019] | 0.245 [+0.019 -0.023] |
Observable | Central ± 1 σ | ± 2 σ | ± 3 σ |
---|---|---|---|
B(B+→τν) [10-4] | 0.92 [+0.10 -0.11] | 0.92 [+0.19 -0.23] | 0.92 [+0.28 -0.28] |
B(B+→τν) [10-4] (meas. not in the fit) | 0.80 [+0.16 -0.11] | 0.80 [+0.26 -0.14] | 0.80 [+0.35 -0.18] |
B(B+→μν) [10-6] | 0.414 [+0.045 -0.048] | 0.414 [+0.084 -0.103] | 0.41 [+0.13 -0.13] |
B(B+→eν) [10-11] | 0.97 [+0.11 -0.11] | 0.97 [+0.20 -0.24] | 0.97 [+0.29 -0.29] |
B(B→e+e-) [10-15] | 2.523 [+0.090 -0.207] | 2.52 [+0.18 -0.53] | 2.52 [+0.26 -0.62] |
B(B→μ+μ-) [10-11] | 10.78 [+0.38 -0.88] | 10.78 [+0.75 -2.27] | 10.8 [+1.1 -2.7] |
B(Bs→e+e-) [10-14] | 7.70 [+0.22 -0.62] | 7.70 [+0.43 -1.08] | 7.70 [+0.64 -1.27] |
B(Bs→μ+μ-) [10-9] | 3.291 [+0.094 -0.267] | 3.29 [+0.18 -0.46] | 3.29 [+0.27 -0.54] |