CKMfitter global fit results as of Summer 25:
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 | 0.8215 [+0.0045 -0.0146] | 0.8215 [+0.0096 -0.0223] | 0.821 [+0.015 -0.027] |
| λ | 0.22504 [+0.00020 -0.00022] | 0.22504 [+0.00040 -0.00044] | 0.22504 [+0.00061 -0.00065] |
| ρbar | 0.1562 [+0.0102 -0.0045] | 0.1562 [+0.0249 -0.0089] | 0.156 [+0.031 -0.014] |
| ηbar | 0.3564 [+0.0061 -0.0065] | 0.356 [+0.013 -0.015] | 0.356 [+0.019 -0.021] |
| Observable | Central ± 1 σ | ± 2 σ | ± 3 σ |
|---|---|---|---|
| J [10-5] | 3.124 [+0.048 -0.087] | 3.12 [+0.12 -0.19] | 3.12 [+0.19 -0.23] |
| sin 2α | -0.030 [+0.024 -0.055] | -0.030 [+0.056 -0.136] | -0.030 [+0.083 -0.172] |
| sin 2α (meas. not in the fit) | -0.039 [+0.030 -0.074] | -0.039 [+0.059 -0.138] | -0.039 [+0.088 -0.170] |
| sin 2β | 0.7167 [+0.0101 -0.0068] | 0.717 [+0.020 -0.015] | 0.717 [+0.030 -0.023] |
| sin 2β (meas. not in the fit) | 0.757 [+0.012 -0.027] | 0.757 [+0.024 -0.049] | 0.757 [+0.034 -0.062] |
| α [deg] | 90.82 [+1.56 -0.82] | 90.8 [+4.0 -1.6] | 90.8 [+5.0 -2.4] |
| α [deg] (meas. not in the fit) | 91.24 [+2.04 -0.99] | 91.2 [+3.8 -1.8] | 91.2 [+4.8 -2.6] |
| α [deg] (dir. meas.) | 86.0 [+3.9 -3.2] || -1.2 [+3.3 -5.9] || 178.7 [+1.4 -5.9] | 86.0 [+13.7 -6.0] || -1.2 [+9.4 -12.6] || 178.7 [+1.7 -12.6] | 86.0 [+23.3 -8.6] || -1 [+13 -19] || 178.7 [+1.9 -19.3] |
| β [deg] | 22.92 [+0.35 -0.30] | 22.92 [+0.79 -0.64] | 22.92 [+1.22 -0.94] |
| β [deg] (meas. not in the fit) | 24.33 [+0.88 -0.88] | 24.3 [+1.4 -1.8] | 24.3 [+1.9 -2.3] |
| β [deg] (dir. meas.) | 22.60 [+0.45 -0.44] | 22.60 [+0.91 -0.88] | 22.6 [+1.4 -1.3] |
| γ [deg] | 66.20 [+0.70 -1.40] | 66.2 [+1.4 -3.7] | 66.2 [+2.1 -4.6] |
| γ [deg] (meas. not in the fit) | 66.16 [+0.78 -3.20] | 66.2 [+1.5 -4.2] | 66.2 [+2.2 -5.0] |
| γ [deg] (dir. meas.) | 66.4 [+2.7 -2.8] | 66.4 [+5.4 -5.6] | 66.4 [+8.1 -8.4] |
| Ru | 0.3891 [+0.0061 -0.0043] | 0.3891 [+0.0131 -0.0095] | 0.389 [+0.020 -0.015] |
| Rt | 0.9155 [+0.0046 -0.0091] | 0.9155 [+0.0091 -0.0257] | 0.916 [+0.014 -0.032] |
| Observable | Central ± 1 σ | ± 2 σ | ± 3 σ |
|---|---|---|---|
| ρsbar | -0.00841 [+0.00030 -0.00043] | -0.00841 [+0.00058 -0.00123] | -0.00841 [+0.00082 -0.00158] |
| ηsbar | -0.01905 [+0.00035 -0.00031] | -0.01905 [+0.00082 -0.00065] | -0.0190 [+0.0012 -0.0010] |
| Observable | Central ± 1 σ | ± 2 σ | ± 3 σ |
|---|---|---|---|
| βs ≡ − arg(−Vcs V*cb/Vts V*tb) [rad] | 0.01886 [+0.00031 -0.00029] | 0.01886 [+0.00066 -0.00078] | 0.0189 [+0.0010 -0.0011] |
| sin 2βs | 0.03778 [+0.00053 -0.00065] | 0.0378 [+0.0012 -0.0017] | 0.0378 [+0.0019 -0.0023] |
| |Vud| | 0.974343 [+0.000049 -0.000048] | 0.974343 [+0.000099 -0.000093] | 0.97434 [+0.00015 -0.00014] |
| |Vus| | 0.22504 [+0.00020 -0.00022] | 0.22504 [+0.00040 -0.00044] | 0.22504 [+0.00061 -0.00065] |
| |Vub| | 0.003743 [+0.000053 -0.000057] | 0.00374 [+0.00012 -0.00012] | 0.00374 [+0.00019 -0.00017] |
| |Vcd| | 0.22491 [+0.00020 -0.00022] | 0.22491 [+0.00040 -0.00043] | 0.22491 [+0.00061 -0.00065] |
| |Vcs| | 0.973497 [+0.000057 -0.000054] | 0.97350 [+0.00012 -0.00010] | 0.97350 [+0.00017 -0.00015] |
| |Vcb| | 0.04159 [+0.00023 -0.00084] | 0.04159 [+0.00047 -0.00111] | 0.04159 [+0.00071 -0.00133] |
| |Vtd| | 0.008581 [+0.000050 -0.000166] | 0.00858 [+0.00012 -0.00038] | 0.00858 [+0.00019 -0.00044] |
| |Vts| | 0.04085 [+0.00024 -0.00079] | 0.04085 [+0.00046 -0.00107] | 0.04085 [+0.00071 -0.00129] |
| |Vtb| | 0.999131 [+0.000032 -0.000013] | 0.999131 [+0.000042 -0.000023] | 0.999131 [+0.000052 -0.000032] |
| |Vud| (meas. not in the fit) | 0.974382 [+0.000060 -0.000060] | 0.97438 [+0.00012 -0.00011] | 0.97438 [+0.00017 -0.00017] |
| |Vus| (meas. not in the fit) | 0.22534 [+0.00136 -0.00039] | 0.22534 [+0.00415 -0.00077] | 0.2253 [+0.0053 -0.0012] |
| |Vub| (meas. not in the fit) | 0.003664 [+0.000093 -0.000081] | 0.00366 [+0.00018 -0.00014] | 0.00366 [+0.00025 -0.00020] |
| |Vcb| (meas. not in the fit) | 0.04176 [+0.00069 -0.00101] | 0.04176 [+0.00095 -0.00158] | 0.0418 [+0.0012 -0.0018] |
| Observable | Central ± 1 σ | ± 2 σ | ± 3 σ |
|---|---|---|---|
| Δmd [ps-1] (meas. not in the fit) | 0.533 [+0.031 -0.025] | 0.533 [+0.054 -0.054] | 0.533 [+0.074 -0.079] |
| Δms [ps-1] (meas. not in the fit) | 17.05 [+0.75 -0.44] | 17.05 [+1.82 -0.87] | 17.1 [+2.3 -1.1] |
| εK [10-3] (meas. not in the fit) | 2.12 [+0.36 -0.20] | 2.12 [+0.45 -0.31] | 2.12 [+0.52 -0.37] |
| mt [GeV/c2] (meas. not in the fit) | 161.8 [+5.2 -3.9] | 161.8 [+10.9 -5.6] | 161.8 [+13.6 -7.2] |
| BK (lattice value not in the fit) | 0.746 [+0.131 -0.044] | 0.746 [+0.185 -0.068] | 0.746 [+0.221 -0.088] |
| fBs/fBd (lattice value not in the fit) | 1.232 [+0.029 -0.025] | 1.232 [+0.058 -0.060] | 1.232 [+0.081 -0.087] |
| fBs (lattice value not in the fit) | 0.2294 [+0.0057 -0.0064] | 0.2294 [+0.0081 -0.0084] | 0.229 [+0.010 -0.010] |
| BBs/BBd (lattice value not in the fit) | 1.065 [+0.037 -0.038] | 1.065 [+0.080 -0.099] | 1.06 [+0.12 -0.15] |
| BBs (lattice value not in the fit) | 1.293 [+0.076 -0.038] | 1.293 [+0.106 -0.057] | 1.293 [+0.125 -0.073] |
| Observable | Central ± 1 σ | ± 2 σ | ± 3 σ |
|---|---|---|---|
| B(B+→τν) [10-4] | 0.858 [+0.054 -0.022] | 0.858 [+0.095 -0.051] | 0.858 [+0.132 -0.074] |
| B(B+→τν) [10-4] (meas. not in the fit) | 0.849 [+0.046 -0.022] | 0.849 [+0.094 -0.050] | 0.849 [+0.133 -0.071] |
| B(B+→μν) [10-6] | 0.385 [+0.023 -0.010] | 0.385 [+0.043 -0.023] | 0.385 [+0.060 -0.033] |
| B(B+→eν) [10-11] | 0.925 [+0.029 -0.045] | 0.925 [+0.077 -0.076] | 0.92 [+0.12 -0.10] |
| B(B→e+e-) [10-15] | 2.210 [+0.121 -0.085] | 2.21 [+0.18 -0.16] | 2.21 [+0.22 -0.20] |
| B(B→μ+μ-) [10-11] | 9.49 [+0.36 -0.37] || 9.8624 [+0.0029 -0.0018] | 9.49 [+0.72 -0.75] | 9.49 [+0.87 -0.89] |
| B(Bs→e+e-) [10-14] | 7.52 [+0.42 -0.25] | 7.52 [+0.57 -0.33] | 7.52 [+0.64 -0.40] |
| B(Bs→μ+μ-) [10-9] | 3.23 [+0.15 -0.12] | 3.23 [+0.22 -0.16] | 3.23 [+0.26 -0.19] |
| B(Bs→μ+μ-) [10-9] (meas. not in the fit) | 3.30 [+0.13 -0.18] | 3.30 [+0.16 -0.23] | 3.30 [+0.19 -0.26] |
| B(Ds+→τ+ν) | 0.05218 [+0.00010 -0.00026] | 0.05218 [+0.00021 -0.00066] | 0.05218 [+0.00031 -0.00079] |
| B(Ds+→τ+ν) (meas. not in the fit) | 0.05170 [+0.00055 -0.00018] | 0.05170 [+0.00066 -0.00029] | 0.05170 [+0.00077 -0.00039] |
| B(Ds+→μ+ν) [10-2] | 0.53538 [+0.00099 -0.00173] | 0.5354 [+0.0021 -0.0066] | 0.5354 [+0.0032 -0.0080] |
| B(Ds+→μ+ν) [10-2] (meas. not in the fit) | 0.5354 [+0.0011 -0.0025] | 0.5354 [+0.0021 -0.0069] | 0.5354 [+0.0032 -0.0082] |
| B(D+→τ+ν) [10-3] | 1.070 [+0.016 -0.014] | 1.070 [+0.035 -0.030] | 1.070 [+0.050 -0.048] |
| B(D+→τ+ν) [10-3] (meas. not in the fit) | 1.070 [+0.018 -0.015] | 1.070 [+0.036 -0.032] | 1.070 [+0.050 -0.049] |
| B(D+→μ+ν) [10-3] | 0.4010 [+0.0050 -0.0024] | 0.4010 [+0.0065 -0.0056] | 0.4010 [+0.0077 -0.0072] |
| B(D+→μ+ν) [10-3] (meas. not in the fit) | 0.4009 [+0.0056 -0.0019] | 0.4009 [+0.0068 -0.0052] | 0.4009 [+0.0079 -0.0070] |
| B(K+→μ+ν) | 0.63566 [+0.00091 -0.00088] | 0.6357 [+0.0018 -0.0019] | 0.6357 [+0.0027 -0.0029] |
| B(K+→μ+ν) (meas. not in the fit) | 0.6361 [+0.0014 -0.0018] | 0.6361 [+0.0029 -0.0041] | 0.6361 [+0.0044 -0.0066] |
| B(K+→ e+ν) [10-4] | 0.15703 [+0.00022 -0.00022] | 0.15703 [+0.00045 -0.00046] | 0.15703 [+0.00067 -0.00070] |
| B(K+→ e+ν) [10-4] (meas. not in the fit) | 0.15688 [+0.00024 -0.00024] | 0.15688 [+0.00049 -0.00050] | 0.15688 [+0.00073 -0.00076] |
| B(K+→ e+ν) [10-2] | 0.7169 [+0.0010 -0.0010] | 0.7169 [+0.0020 -0.0021] | 0.7169 [+0.0031 -0.0032] |
| B(K+→ e+ν) [10-2] (meas. not in the fit) | 0.7171 [+0.0010 -0.0010] | 0.7171 [+0.0021 -0.0021] | 0.7171 [+0.0031 -0.0032] |