CKMfitter global fit results as of Summer 19:
Wolfenstein parameters and Jarlskog invariant:
UT angles and sides:
UTs apex and angle:
CKM elements:
Input parameters:
Decay branching fractions :
- Wolfenstein parameters
- UT angles and sides
- UTsangle and apex
- CKM elements
- Input parameters
- Decay branching fractions
Wolfenstein parameters and Jarlskog invariant:
Observable | Central ± 1 σ | ± 2 σ | ± 3 σ |
---|---|---|---|
A | 0.8235 [+0.0056 -0.0145] | 0.823 [+0.011 -0.023] | 0.823 [+0.015 -0.029] |
λ | 0.224837 [+0.000251 -0.000060] | 0.22484 [+0.00060 -0.00012] | 0.22484 [+0.00097 -0.00018] |
ρbar | 0.1569 [+0.0102 -0.0061] | 0.157 [+0.027 -0.012] | 0.157 [+0.036 -0.019] |
ηbar | 0.3499 [+0.0079 -0.0065] | 0.350 [+0.018 -0.016] | 0.350 [+0.027 -0.023] |
Observable | Central ± 1 σ | ± 2 σ | ± 3 σ |
---|---|---|---|
J [10-5] | 3.060 [+0.071 -0.079] | 3.06 [+0.17 -0.13] | 3.06 [+0.27 -0.18] |
sin 2α | -0.057 [+0.038 -0.052] | -0.057 [+0.076 -0.146] | -0.06 [+0.11 -0.19] |
sin 2α (meas. not in the fit) | -0.069 [+0.040 -0.064] | -0.069 [+0.080 -0.153] | -0.07 [+0.12 -0.19] |
sin 2β | 0.7083 [+0.0127 -0.0098] | 0.708 [+0.027 -0.021] | 0.708 [+0.042 -0.031] |
sin 2β (meas. not in the fit) | 0.731 [+0.029 -0.027] | 0.731 [+0.061 -0.042] | 0.731 [+0.078 -0.056] |
α [deg] | 91.7 [+1.7 -1.1] | 91.7 [+4.1 -2.3] | 91.7 [+5.4 -3.3] |
α [deg] (meas. not in the fit) | 91.8 [+2.7 -1.0] | 91.8 [+4.5 -2.2] | 91.8 [+5.7 -3.2] |
α [deg] (dir. meas.) | 86.4 [+4.5 -4.3] || -1.8 [+4.3 -5.1] | 86.4 [+12.3 -8.0] || -1.8 [+11.0 -9.5] | 86 [+21 -11] || -2 [+16 -17] |
β [deg] | 22.56 [+0.47 -0.40] | 22.56 [+1.12 -0.81] | 22.6 [+1.8 -1.2] |
β [deg] (meas. not in the fit) | 23.7 [+1.3 -1.2] | 23.7 [+2.7 -1.8] | 23.7 [+3.4 -2.4] |
β [deg] (dir. meas.) | 22.14 [+0.69 -0.67] | 22.1 [+1.4 -1.3] | 22.1 [+2.1 -2.0] |
γ [deg] | 65.80 [+0.94 -1.29] | 65.8 [+1.9 -4.0] | 65.8 [+2.9 -5.2] |
γ [deg] (meas. not in the fit) | 65.66 [+0.90 -2.65] | 65.7 [+1.9 -4.5] | 65.7 [+2.9 -5.5] |
γ [deg] (dir. meas.) | 72.1 [+5.4 -5.7] | 72 [+10 -12] | 72 [+15 -21] |
Ru | 0.3837 [+0.0078 -0.0064] | 0.384 [+0.018 -0.013] | 0.384 [+0.028 -0.020] |
Rt | 0.9124 [+0.0064 -0.0100] | 0.912 [+0.013 -0.027] | 0.912 [+0.019 -0.036] |
Observable | Central ± 1 σ | ± 2 σ | ± 3 σ |
---|---|---|---|
ρsbar | -0.00840 [+0.00038 -0.00047] | -0.00840 [+0.00072 -0.00139] | -0.0084 [+0.0011 -0.0019] |
ηsbar | -0.01866 [+0.00036 -0.00041] | -0.01866 [+0.00088 -0.00092] | -0.0187 [+0.0013 -0.0014] |
Observable | Central ± 1 σ | ± 2 σ | ± 3 σ |
---|---|---|---|
βs ≡ − arg(−Vcs V*cb/Vts V*tb) [rad] | 0.01848 [+0.00042 -0.00036] | 0.01848 [+0.00093 -0.00087] | 0.0185 [+0.0014 -0.0013] |
sin 2βs | 0.03698 [+0.00081 -0.00070] | 0.0370 [+0.0018 -0.0017] | 0.0370 [+0.0028 -0.0025] |
|Vud| | 0.974390 [+0.000014 -0.000058] | 0.974390 [+0.000027 -0.000140] | 0.974390 [+0.000041 -0.000225] |
|Vus| | 0.224834 [+0.000252 -0.000059] | 0.22483 [+0.00060 -0.00012] | 0.22483 [+0.00097 -0.00018] |
|Vub| | 0.003683 [+0.000075 -0.000061] | 0.00368 [+0.00018 -0.00013] | 0.00368 [+0.00028 -0.00018] |
|Vcd| | 0.224701 [+0.000254 -0.000058] | 0.22470 [+0.00061 -0.00012] | 0.22470 [+0.00097 -0.00018] |
|Vcs| | 0.973539 [+0.000038 -0.000060] | 0.973539 [+0.000061 -0.000142] | 0.973539 [+0.000081 -0.000229] |
|Vcb| | 0.04162 [+0.00026 -0.00080] | 0.04162 [+0.00055 -0.00117] | 0.04162 [+0.00078 -0.00142] |
|Vtd| | 0.008545 [+0.000075 -0.000157] | 0.00855 [+0.00016 -0.00029] | 0.00855 [+0.00024 -0.00038] |
|Vts| | 0.04090 [+0.00026 -0.00076] | 0.04090 [+0.00053 -0.00114] | 0.04090 [+0.00075 -0.00138] |
|Vtb| | 0.999127 [+0.000032 -0.000012] | 0.999127 [+0.000047 -0.000023] | 0.999127 [+0.000058 -0.000033] |
|Vud| (meas. not in the fit) | 0.974395 [+0.000062 -0.000061] | 0.97439 [+0.00011 -0.00014] | 0.97439 [+0.00016 -0.00023] |
|Vus| (meas. not in the fit) | 0.224833 [+0.001336 -0.000061] | 0.22483 [+0.00191 -0.00012] | 0.22483 [+0.00198 -0.00018] |
|Vub| (meas. not in the fit) | 0.003624 [+0.000109 -0.000084] | 0.00362 [+0.00023 -0.00017] | 0.00362 [+0.00034 -0.00024] |
|Vcb| (meas. not in the fit) | 0.04191 [+0.00037 -0.00095] | 0.04191 [+0.00067 -0.00144] | 0.04191 [+0.00097 -0.00180] |
Observable | Central ± 1 σ | ± 2 σ | ± 3 σ |
---|---|---|---|
Δmd [ps-1] (meas. not in the fit) | 0.577 [+0.036 -0.039] | 0.577 [+0.065 -0.077] | 0.577 [+0.095 -0.116] |
Δms [ps-1] (meas. not in the fit) | 16.70 [+0.73 -0.45] | 16.70 [+1.89 -0.77] | 16.7 [+2.9 -1.1] |
εK [10-3] (meas. not in the fit) | 2.10 [+0.27 -0.20] | 2.10 [+0.38 -0.38] | 2.10 [+0.47 -0.46] |
mt [GeV/c2] (meas. not in the fit) | 158.6 [+6.4 -2.5] | 158.6 [+14.9 -4.6] | 158.6 [+18.3 -6.6] |
BK (lattice value not in the fit) | 0.782 [+0.105 -0.063] | 0.782 [+0.181 -0.093] | 0.78 [+0.23 -0.12] |
fBs/fBd (lattice value not in the fit) | 1.263 [+0.045 -0.030] | 1.263 [+0.079 -0.077] | 1.26 [+0.11 -0.11] |
fBs (lattice value not in the fit) | 0.2249 [+0.0081 -0.0041] | 0.2249 [+0.0113 -0.0063] | 0.2249 [+0.0137 -0.0083] |
BBs/BBd (lattice value not in the fit) | 1.146 [+0.056 -0.066] | 1.15 [+0.11 -0.14] | 1.15 [+0.16 -0.21] |
BBs (lattice value not in the fit) | 1.307 [+0.062 -0.057] | 1.307 [+0.090 -0.080] | 1.307 [+0.112 -0.099] |
Observable | Central ± 1 σ | ± 2 σ | ± 3 σ |
---|---|---|---|
B(B+→τν) [10-4] | 0.851 [+0.039 -0.038] | 0.851 [+0.095 -0.069] | 0.851 [+0.148 -0.095] |
B(B+→τν) [10-4] (meas. not in the fit) | 0.838 [+0.039 -0.029] | 0.838 [+0.092 -0.059] | 0.838 [+0.149 -0.086] |
B(B+→μν) [10-6] | 0.378 [+0.019 -0.013] | 0.378 [+0.045 -0.026] | 0.378 [+0.070 -0.038] |
B(B+→eν) [10-11] | 0.885 [+0.048 -0.032] | 0.885 [+0.110 -0.061] | 0.885 [+0.165 -0.090] |
B(B→e+e-) [10-15] | 2.200 [+0.116 -0.069] | 2.20 [+0.19 -0.14] | 2.20 [+0.24 -0.18] |
B(B→μ+μ-) [10-11] | 9.39 [+0.62 -0.32] | 9.39 [+0.83 -0.57] | 9.39 [+1.03 -0.76] |
B(Bs→e+e-) [10-14] | 7.49 [+0.36 -0.28] | 7.49 [+0.57 -0.37] | 7.49 [+0.67 -0.45] |
B(Bs→μ+μ-) [10-9] | 3.20 [+0.18 -0.12] | 3.20 [+0.24 -0.16] | 3.20 [+0.29 -0.19] |
B(Bs→μ+μ-) [10-9] (meas. not in the fit) | 3.27 [+0.12 -0.16] | 3.27 [+0.18 -0.23] | 3.27 [+0.22 -0.26] |
B(Ds+→τ+ν) | 0.05224 [+0.00011 -0.00057] | 0.05224 [+0.00022 -0.00074] | 0.05224 [+0.00034 -0.00086] |
B(Ds+→τ+ν) (meas. not in the fit) | 0.05223 [+0.00012 -0.00063] | 0.05223 [+0.00023 -0.00075] | 0.05223 [+0.00034 -0.00087] |
B(Ds+→μ+ν) [10-2] | 0.5360 [+0.0011 -0.0059] | 0.5360 [+0.0023 -0.0075] | 0.5360 [+0.0035 -0.0088] |
B(Ds+→μ+ν) [10-2] (meas. not in the fit) | 0.5357 [+0.0014 -0.0064] | 0.5357 [+0.0025 -0.0076] | 0.5357 [+0.0037 -0.0088] |
B(D+→τ+ν) [10-3] | 1.069 [+0.015 -0.017] | 1.069 [+0.036 -0.036] | 1.069 [+0.051 -0.049] |
B(D+→τ+ν) [10-3] (meas. not in the fit) | 1.069 [+0.014 -0.017] | 1.069 [+0.031 -0.036] | 1.069 [+0.051 -0.049] |
B(D+→μ+ν) [10-3] | 0.4007 [+0.0026 -0.0045] | 0.4007 [+0.0065 -0.0059] | 0.4007 [+0.0087 -0.0069] |
B(D+→μ+ν) [10-3] (meas. not in the fit) | 0.4050 [+0.0016 -0.0073] | 0.4050 [+0.0031 -0.0099] | 0.4050 [+0.0049 -0.0111] |
B(K+→μ+ν) | 0.63550 [+0.00091 -0.00088] | 0.6355 [+0.0019 -0.0018] | 0.6355 [+0.0029 -0.0028] |
B(K+→μ+ν) (meas. not in the fit) | 0.6353 [+0.0017 -0.0014] | 0.6353 [+0.0037 -0.0036] | 0.6353 [+0.0057 -0.0060] |
B(K+→ e+ν) [10-4] | 0.15699 [+0.00023 -0.00021] | 0.15699 [+0.00047 -0.00043] | 0.15699 [+0.00071 -0.00067] |
B(K+→ e+ν) [10-4] (meas. not in the fit) | 0.15685 [+0.00023 -0.00022] | 0.15685 [+0.00048 -0.00047] | 0.15685 [+0.00073 -0.00074] |
B(τ+→ K+ν) [10-2] | 0.71666 [+0.00106 -0.00095] | 0.7167 [+0.0022 -0.0020] | 0.7167 [+0.0032 -0.0030] |
B(τ+→ K+ν) [10-2] (meas. not in the fit) | 0.7169 [+0.0011 -0.0010] | 0.7169 [+0.0022 -0.0020] | 0.7169 [+0.0033 -0.0031] |