CKMfitter global fit results as of FPCP13:
UT angles and sides:
UTs apex and angle:
CKM elements:
Input parameters:
Rare decay branching fractions (B→lν, B→ll):
- Wolfenstein parameters
- UT angles and sides
- UTsangle and apex
- CKM elements
- Input parameters
- Rare decay branching fractions
Observable | Central ± 1 σ | ± 2 σ | ± 3 σ |
---|---|---|---|
A | 0.823 [+0.012 -0.033] | 0.823 [+0.018 -0.042] | 0.823 [+0.025 -0.049] |
λ | 0.22457 [+0.00186 -0.00014] | 0.22457 [+0.00193 -0.00021] | 0.22457 [+0.00200 -0.00027] |
ρbar | 0.1289 [+0.0176 -0.0094] | 0.129 [+0.056 -0.018] | 0.129 [+0.075 -0.027] |
ηbar | 0.348 [+0.012 -0.012] | 0.348 [+0.025 -0.030] | 0.348 [+0.037 -0.044] |
J [10-5] | 3.02 [+0.16 -0.19] | 3.02 [+0.29 -0.30] | 3.02 [+0.42 -0.36] |
Observable | Central ± 1 σ | ± 2 σ | ± 3 σ |
---|---|---|---|
sin 2α | 0.052 [+0.052 -0.097] | 0.05 [+0.10 -0.32] | 0.05 [+0.15 -0.43] |
sin 2α (meas. not in the fit) | -0.17 [+0.24 -0.16] | -0.17 [+0.30 -0.22] | -0.17 [+0.36 -0.27] |
sin 2β | 0.689 [+0.019 -0.019] | 0.689 [+0.039 -0.035] | 0.689 [+0.058 -0.050] |
sin 2β (meas. not in the fit) | 0.778 [+0.020 -0.048] | 0.778 [+0.039 -0.108] | 0.778 [+0.058 -0.143] |
α [deg] | 88.5 [+2.8 -1.5] | 88.5 [+9.2 -2.9] | 88.5 [+12.5 -4.3] |
α [deg] (meas. not in the fit) | 94.9 [+4.8 -6.8] | 94.9 [+6.6 -8.8] | 94.9 [+8.2 -10.3] |
α [deg] (dir. meas.) | 85.4 [+4.0 -3.9] | 85.4 [+10.4 -7.8] || 0.2 [+9.6 -8.8] | 85 [+17 -12] || 0 [+15 -15] |
β [deg] | 21.79 [+0.78 -0.73] | 21.8 [+1.6 -1.3] | 21.8 [+2.4 -1.9] |
β [deg] (meas. not in the fit) | 25.53 [+0.92 -2.10] | 25.5 [+1.9 -4.5] | 25.5 [+2.8 -5.8] |
β [deg] (dir. meas.) | 21.38 [+0.79 -0.77] | 21.4 [+1.6 -1.5] | 21.4 [+2.4 -2.3] |
γ [deg] | 69.7 [+1.3 -2.8] | 69.7 [+2.6 -9.1] | 69.7 [+3.9 -11.9] |
γ [deg] (meas. not in the fit) | 69.7 [+1.3 -2.8] | 69.7 [+2.7 -10.2] | 69.7 [+4.0 -12.4] |
γ [deg] (dir. meas.) | 68.0 [+8.0 -8.5] | 68 [+15 -17] | 68 [+23 -25] |
Ru | 0.371 [+0.013 -0.012] | 0.371 [+0.026 -0.022] | 0.371 [+0.039 -0.031] |
Rt | 0.9381 [+0.0087 -0.0180] | 0.938 [+0.017 -0.059] | 0.938 [+0.025 -0.078] |
Observable | Central ± 1 σ | ± 2 σ | ± 3 σ |
---|---|---|---|
ρsbar | -0.00684 [+0.00051 -0.00104] | -0.00684 [+0.00098 -0.00315] | -0.0068 [+0.0014 -0.0042] |
ηsbar | -0.01850 [+0.00064 -0.00073] | -0.0185 [+0.0015 -0.0015] | -0.0185 [+0.0023 -0.0021] |
βs ≡ − arg(−Vcs V*cb/Vts V*tb) [rad] | 0.01838 [+0.00072 -0.00064] | 0.0184 [+0.0014 -0.0016] | 0.0184 [+0.0021 -0.0023] |
sin 2βs | 0.0367 [+0.0014 -0.0013] | 0.0367 [+0.0029 -0.0031] | 0.0367 [+0.0042 -0.0046] |
Observable | Central ± 1 σ | ± 2 σ | ± 3 σ |
---|---|---|---|
|Vud| | 0.974452 [+0.000033 -0.000432] | 0.974452 [+0.000048 -0.000449] | 0.974452 [+0.000063 -0.000465] |
|Vus| | 0.22457 [+0.00186 -0.00014] | 0.22457 [+0.00194 -0.00021] | 0.22457 [+0.00201 -0.00027] |
|Vub| | 0.00355 [+0.00016 -0.00013] | 0.00355 [+0.00030 -0.00024] | 0.00355 [+0.00043 -0.00033] |
|Vcd| | 0.22443 [+0.00186 -0.00015] | 0.22443 [+0.00194 -0.00021] | 0.22443 [+0.00200 -0.00028] |
|Vcs| | 0.973607 [+0.000069 -0.000445] | 0.973607 [+0.000092 -0.000468] | 0.97361 [+0.00011 -0.00049] |
|Vcb| | 0.04151 [+0.00056 -0.00115] | 0.04151 [+0.00089 -0.00152] | 0.0415 [+0.0012 -0.0019] |
|Vtd| | 0.00875 [+0.00016 -0.00031] | 0.00875 [+0.00026 -0.00065] | 0.00875 [+0.00037 -0.00081] |
|Vts| | 0.04073 [+0.00055 -0.00113] | 0.04073 [+0.00087 -0.00150] | 0.0407 [+0.0012 -0.0018] |
|Vtb| | 0.999132 [+0.000047 -0.000024] | 0.999132 [+0.000063 -0.000038] | 0.999132 [+0.000076 -0.000052] |
|Vud| (meas. not in the fit) | 0.97446 [+0.00018 -0.00065] | 0.97446 [+0.00036 -0.00082] | 0.97446 [+0.00054 -0.00093] |
|Vus| (meas. not in the fit) | 0.224489 [+0.001948 -0.000066] | 0.22449 [+0.00202 -0.00013] | 0.22449 [+0.00209 -0.00020] |
|Vub| (meas. not in the fit) | 0.00342 [+0.00023 -0.00012] | 0.00342 [+0.00037 -0.00023] | 0.00342 [+0.00051 -0.00031] |
|Vcb| (meas. not in the fit) | 0.0415 [+0.0024 -0.0016] | 0.0415 [+0.0028 -0.0021] | 0.0415 [+0.0031 -0.0024] |
Observable | Central ± 1 σ | ± 2 σ | ± 3 σ |
---|---|---|---|
Δmd [ps-1] (meas. not in the fit) | 0.596 [+0.047 -0.076] | 0.596 [+0.081 -0.125] | 0.60 [+0.12 -0.17] |
Δms [ps-1] (meas. not in the fit) | 16.5 [+1.8 -1.4] | 16.5 [+3.3 -1.8] | 16.5 [+4.0 -2.1] |
εK [10-3] (meas. not in the fit) | 2.16 [+0.56 -0.56] | 2.16 [+0.69 -0.71] | 2.16 [+0.82 -0.81] |
mt [GeV/c2] (meas. not in the fit) | 160.1 [+13.7 -5.9] | 160.1 [+24.8 -8.0] | 160 [+28 -10] |
BK (lattice value not in the fit) | 0.81 [+0.24 -0.17] | 0.81 [+0.34 -0.20] | 0.81 [+0.43 -0.23] |
fBs/fBd (lattice value not in the fit) | 1.240 [+0.058 -0.037] | 1.240 [+0.099 -0.099] | 1.24 [+0.14 -0.15] |
fBs (lattice value not in the fit) | 0.2350 [+0.0038 -0.0151] | 0.2350 [+0.0064 -0.0184] | 0.2350 [+0.0089 -0.0207] |
BBs/BBd (lattice value not in the fit) | 1.218 [+0.065 -0.131] | 1.22 [+0.13 -0.23] | 1.22 [+0.20 -0.33] |
BBs (lattice value not in the fit) | 1.255 [+0.135 -0.038] | 1.255 [+0.267 -0.061] | 1.255 [+0.304 -0.084] |
B(B+→τν) [10-4] | 0.794 [+0.062 -0.077] | 0.79 [+0.16 -0.14] | 0.79 [+0.25 -0.18] |
B(B+→τν) [10-4] (meas. not in the fit) | 0.739 [+0.091 -0.071] | 0.74 [+0.17 -0.11] | 0.74 [+0.27 -0.14] |
B(B+→μν) [10-6] | 0.357 [+0.028 -0.035] | 0.357 [+0.073 -0.063] | 0.357 [+0.111 -0.080] |
B(B+→eν) [10-11] | 0.835 [+0.066 -0.081] | 0.84 [+0.17 -0.15] | 0.84 [+0.26 -0.19] |
B(B→e+e-) [10-15] | 2.60 [+0.15 -0.26] | 2.60 [+0.21 -0.39] | 2.60 [+0.26 -0.44] |
B(B→μ+μ-) [10-11] | 11.10 [+0.64 -1.10] | 11.10 [+0.88 -1.66] | 11.1 [+1.1 -1.9] |
B(Bs→e+e-) [10-14] | 8.31 [+0.43 -0.79] | 8.31 [+0.55 -0.91] | 8.31 [+0.68 -1.01] |
B(Bs→μ+μ-) [10-9] | 3.55 [+0.18 -0.34] | 3.55 [+0.24 -0.39] | 3.55 [+0.29 -0.43] |
B(Bs→μ+μ-) [10-9] (meas. not in the fit) | 3.55 [+0.18 -0.34] | 3.55 [+0.24 -0.39] | 3.55 [+0.29 -0.43] |
B(Ds+→τ+ν) (meas. not in the fit) | 0.05290 [+0.00017 -0.00150] | 0.05290 [+0.0034 -0.00369] | 0.05290 [+0.00051 -0.00408] |
B(Ds+→μ+ν) [10-2] (meas. not in the fit) | 0.5422 [+0.0017 -0.0124] | 0.5422 [+0.0035 -0.0326] | 0.5422 [+0.0052 -0.0414] |
B(D+→μ+ν) [10-3] (meas. not in the fit) | 0.405 [+0.016 -0.013] | 0.405 [+0.019 -0.024] | 0.405 [+0.022 -0.035] |
B(K+→μ+ν) (meas. not in the fit) | 0.6376 [+0.0031 -0.0031] | 0.6376 [+0.0061 -0.0061] | 0.6376 [+0.0092 -0.0092] |
B(K+→ e+ν) [10-4] (meas. not in the fit) | 0.15693 [+0.00047 -0.00047] | 0.15693 [+0.00093 -0.00093] | 0.1569 [+0.0013 -0.0013] |
B(K+→ e+ν) [10-2] (meas. not in the fit) | 0.7179 [+0.0015 -0.0015] | 0.7179 [+0.0031 -0.0031] | 0.7179 [+0.0046 -0.0046] |