CKMfitter global fit results as of Spring 21:
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 | 0.8132 [+0.0119 -0.0060] | 0.813 [+0.020 -0.013] | 0.813 [+0.026 -0.018] |
| λ | 0.22500 [+0.00024 -0.00022] | 0.22500 [+0.00054 -0.00043] | 0.22500 [+0.00082 -0.00063] |
| ρbar | 0.1566 [+0.0085 -0.0048] | 0.157 [+0.027 -0.012] | 0.157 [+0.036 -0.018] |
| ηbar | 0.3475 [+0.0118 -0.0054] | 0.347 [+0.020 -0.013] | 0.347 [+0.030 -0.020] |
| Observable | Central ± 1 σ | ± 2 σ | ± 3 σ |
|---|---|---|---|
| J [10-5] | 3.044 [+0.068 -0.084] | 3.04 [+0.18 -0.12] | 3.04 [+0.28 -0.16] |
| sin 2α | -0.070 [+0.046 -0.037] | -0.070 [+0.088 -0.121] | -0.07 [+0.13 -0.17] |
| sin 2α (meas. not in the fit) | -0.070 [+0.040 -0.034] | -0.070 [+0.083 -0.145] | -0.07 [+0.12 -0.19] |
| sin 2β | 0.7055 [+0.0136 -0.0085] | 0.706 [+0.029 -0.019] | 0.706 [+0.043 -0.029] |
| sin 2β (meas. not in the fit) | 0.731 [+0.029 -0.016] | 0.731 [+0.056 -0.038] | 0.731 [+0.073 -0.054] |
| α [deg] | 91.98 [+0.82 -1.40] | 92.0 [+3.8 -2.6] | 92.0 [+5.0 -3.6] |
| α [deg] (meas. not in the fit) | 91.9 [+1.6 -1.2] | 91.9 [+4.0 -2.2] | 91.9 [+5.4 -3.3] |
| α [deg] (dir. meas.) | 86.4 [+4.3 -4.0] || -1.6 [+4.1 -5.2] | 86.4 [+12.2 -7.6] || -1.6 [+10.4 -9.8] | 86 [+21 -11] || -2 [+15 -18] |
| β [deg] | 22.42 [+0.64 -0.37] | 22.42 [+1.29 -0.78] | 22.4 [+1.9 -1.2] |
| β [deg] (meas. not in the fit) | 23.41 [+1.53 -0.68] | 23.4 [+2.8 -1.6] | 23.4 [+3.5 -2.1] |
| β [deg] (dir. meas.) | 22.14 [+0.69 -0.67] | 22.1 [+1.4 -1.3] | 22.1 [+2.1 -2.0] |
| γ [deg] | 65.5 [+1.3 -1.2] | 65.5 [+2.2 -3.6] | 65.5 [+3.1 -4.9] |
| γ [deg] (meas. not in the fit) | 65.5 [+1.1 -2.7] | 65.5 [+2.0 -4.1] | 65.5 [+3.0 -5.1] |
| γ [deg] (dir. meas.) | 72.1 [+5.4 -5.7] | 72 [+10 -12] | 72 [+16 -21] |
| Ru | 0.3818 [+0.0100 -0.0054] | 0.382 [+0.020 -0.012] | 0.382 [+0.030 -0.018] |
| Rt | 0.9129 [+0.0064 -0.0092] | 0.913 [+0.012 -0.026] | 0.913 [+0.018 -0.035] |
| Observable | Central ± 1 σ | ± 2 σ | ± 3 σ |
|---|---|---|---|
| ρsbar | -0.00844 [+0.00034 -0.00034] | -0.00844 [+0.00073 -0.00110] | -0.0084 [+0.0011 -0.0018] |
| ηsbar | -0.01857 [+0.00030 -0.00045] | -0.01857 [+0.00079 -0.00107] | -0.0186 [+0.0012 -0.0016] |
| Observable | Central ± 1 σ | ± 2 σ | ± 3 σ |
|---|---|---|---|
| βs ≡ − arg(−Vcs V*cb/Vts V*tb) [rad] | 0.01841 [+0.00043 -0.00030] | 0.01841 [+0.00100 -0.00077] | 0.0184 [+0.0015 -0.0012] |
| sin 2βs | 0.03686 [+0.00093 -0.00067] | 0.0369 [+0.0020 -0.0017] | 0.0369 [+0.0030 -0.0024] |
| |Vud| | 0.974353 [+0.000049 -0.000056] | 0.974353 [+0.000099 -0.000125] | 0.97435 [+0.00014 -0.00019] |
| |Vus| | 0.22500 [+0.00024 -0.00021] | 0.22500 [+0.00054 -0.00043] | 0.22500 [+0.00082 -0.00062] |
| |Vub| | 0.003667 [+0.000088 -0.000073] | 0.00367 [+0.00018 -0.00012] | 0.00367 [+0.00028 -0.00017] |
| |Vcd| | 0.22487 [+0.00024 -0.00021] | 0.22487 [+0.00054 -0.00043] | 0.22487 [+0.00082 -0.00062] |
| |Vcs| | 0.973521 [+0.000057 -0.000062] | 0.97352 [+0.00011 -0.00014] | 0.97352 [+0.00016 -0.00021] |
| |Vcb| | 0.04145 [+0.00035 -0.00061] | 0.04145 [+0.00068 -0.00097] | 0.04145 [+0.00094 -0.00122] |
| |Vtd| | 0.008519 [+0.000075 -0.000146] | 0.00852 [+0.00018 -0.00025] | 0.00852 [+0.00026 -0.00035] |
| |Vts| | 0.04065 [+0.00040 -0.00055] | 0.04065 [+0.00075 -0.00084] | 0.0406 [+0.0010 -0.0011] |
| |Vtb| | 0.999142 [+0.000018 -0.000023] | 0.999142 [+0.000031 -0.000038] | 0.999142 [+0.000041 -0.000048] |
| |Vud| (meas. not in the fit) | 0.974396 [+0.000059 -0.000061] | 0.97440 [+0.00011 -0.00014] | 0.97440 [+0.00015 -0.00022] |
| |Vus| (meas. not in the fit) | 0.22535 [+0.00116 -0.00039] | 0.22535 [+0.00383 -0.00079] | 0.2253 [+0.0052 -0.0012] |
| |Vub| (meas. not in the fit) | 0.003635 [+0.000066 -0.000071] | 0.00363 [+0.00019 -0.00016] | 0.00363 [+0.00031 -0.00024] |
| |Vcb| (meas. not in the fit) | 0.04114 [+0.00070 -0.00036] | 0.04114 [+0.00122 -0.00072] | 0.0411 [+0.0016 -0.0010] |
| Observable | Central ± 1 σ | ± 2 σ | ± 3 σ |
|---|---|---|---|
| Δmd [ps-1] (meas. not in the fit) | 0.560 [+0.050 -0.025] | 0.560 [+0.084 -0.058] | 0.560 [+0.111 -0.094] |
| Δms [ps-1] (meas. not in the fit) | 16.54 [+0.50 -0.30] | 16.54 [+1.47 -0.63] | 16.54 [+2.46 -0.96] |
| εK [10-3] (meas. not in the fit) | 2.11 [+0.21 -0.25] | 2.11 [+0.34 -0.40] | 2.11 [+0.45 -0.47] |
| mt [GeV/c2] (meas. not in the fit) | 158.5 [+4.4 -3.0] | 158.5 [+9.3 -5.0] | 158.5 [+14.8 -7.0] |
| BK (lattice value not in the fit) | 0.796 [+0.116 -0.040] | 0.796 [+0.167 -0.095] | 0.80 [+0.22 -0.13] |
| fBs/fBd (lattice value not in the fit) | 1.270 [+0.036 -0.031] | 1.270 [+0.069 -0.069] | 1.270 [+0.098 -0.113] |
| fBs (lattice value not in the fit) | 0.2232 [+0.0048 -0.0024] | 0.2232 [+0.0120 -0.0048] | 0.2232 [+0.0146 -0.0070] |
| BBs/BBd (lattice value not in the fit) | 1.125 [+0.073 -0.043] | 1.12 [+0.13 -0.11] | 1.12 [+0.18 -0.18] |
| BBs (lattice value not in the fit) | 1.346 [+0.031 -0.051] | 1.346 [+0.056 -0.095] | 1.346 [+0.076 -0.128] |
| Observable | Central ± 1 σ | ± 2 σ | ± 3 σ |
|---|---|---|---|
| B(B+→τν) [10-4] | 0.835 [+0.030 -0.032] | 0.835 [+0.096 -0.058] | 0.835 [+0.156 -0.082] |
| B(B+→τν) [10-4] (meas. not in the fit) | 0.828 [+0.024 -0.027] | 0.828 [+0.073 -0.053] | 0.828 [+0.141 -0.077] |
| B(B+→μν) [10-6] | 0.375 [+0.014 -0.015] | 0.375 [+0.040 -0.026] | 0.375 [+0.065 -0.037] |
| B(B+→eν) [10-11] | 0.875 [+0.041 -0.029] | 0.875 [+0.099 -0.056] | 0.875 [+0.157 -0.083] |
| B(B→e+e-) [10-15] | 2.177 [+0.062 -0.064] | 2.18 [+0.17 -0.11] | 2.18 [+0.24 -0.16] |
| B(B→μ+μ-) [10-11] | 9.29 [+0.24 -0.28] | 9.29 [+0.74 -0.50] | 9.29 [+1.03 -0.67] |
| B(Bs→e+e-) [10-14] | 7.34 [+0.23 -0.16] | 7.34 [+0.60 -0.24] | 7.34 [+0.75 -0.31] |
| B(Bs→μ+μ-) [10-9] | 3.159 [+0.072 -0.092] | 3.16 [+0.24 -0.13] | 3.16 [+0.30 -0.15] |
| B(Bs→μ+μ-) [10-9] (meas. not in the fit) | 3.25 [+0.14 -0.12] | 3.25 [+0.19 -0.20] | 3.25 [+0.24 -0.23] |
| B(Ds+→τ+ν) | 0.05223 [+0.00011 -0.00056] | 0.05223 [+0.00023 -0.00073] | 0.05223 [+0.00034 -0.00085] |
| 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 [+0.0012 -0.0054] | 0.5360 [+0.0023 -0.0075] | 0.5360 [+0.0035 -0.0087] |
| B(Ds+→μ+ν) [10-2] (meas. not in the fit) | 0.5359 [+0.0012 -0.0066] | 0.5359 [+0.0023 -0.0078] | 0.5359 [+0.0035 -0.0090] |
| B(D+→τ+ν) [10-3] | 1.071 [+0.014 -0.021] | 1.071 [+0.032 -0.038] | 1.071 [+0.050 -0.051] |
| B(D+→τ+ν) [10-3] (meas. not in the fit) | 1.073 [+0.014 -0.025] | 1.073 [+0.029 -0.040] | 1.073 [+0.046 -0.053] |
| B(D+→μ+ν) [10-3] | 0.4010 [+0.0046 -0.0046] | 0.4010 [+0.0071 -0.0061] | 0.4010 [+0.0087 -0.0074] |
| B(D+→μ+ν) [10-3] (meas. not in the fit) | 0.4019 [+0.0047 -0.0040] | 0.4019 [+0.0065 -0.0067] | 0.4019 [+0.0080 -0.0081] |
| B(K+→μ+ν) | 0.63566 [+0.00101 -0.00092] | 0.6357 [+0.0020 -0.0019] | 0.6357 [+0.0029 -0.0029] |
| B(K+→μ+ν) (meas. not in the fit) | 0.6365 [+0.0017 -0.0022] | 0.6365 [+0.0033 -0.0046] | 0.6365 [+0.0049 -0.0071] |
| B(K+→ e+ν) [10-4] | 0.15706 [+0.00023 -0.00024] | 0.15706 [+0.00046 -0.00048] | 0.15706 [+0.00069 -0.00073] |
| B(K+→ e+ν) [10-4] (meas. not in the fit) | 0.15695 [+0.00022 -0.00031] | 0.15695 [+0.00048 -0.00058] | 0.15695 [+0.00072 -0.00084] |
| B(K+→ e+ν) [10-2] | 0.7170 [+0.0010 -0.0010] | 0.7170 [+0.0021 -0.0022] | 0.7170 [+0.0031 -0.0033] |
| B(K+→ e+ν) [10-2] (meas. not in the fit) | 0.71762 [+0.00080 -0.00137] | 0.7176 [+0.0018 -0.0025] | 0.7176 [+0.0029 -0.0037] |