CKMfitter global fit results as of Summer 23:
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 [+0.0047 -0.0082] | 0.821 [+0.010 -0.020] | 0.821 [+0.015 -0.024] |
| λ | 0.22498 [+0.00023 -0.00021] | 0.22498 [+0.00052 -0.00043] | 0.22498 [+0.00081 -0.00061] |
| ρbar | 0.1562 [+0.0112 -0.0040] | 0.1562 [+0.0230 -0.0092] | 0.156 [+0.030 -0.014] |
| ηbar | 0.3551 [+0.0051 -0.0057] | 0.355 [+0.011 -0.015] | 0.355 [+0.018 -0.020] |
| Observable | Central ± 1 σ | ± 2 σ | ± 3 σ |
|---|---|---|---|
| J [10-5] | 3.115 [+0.047 -0.059] | 3.12 [+0.11 -0.15] | 3.12 [+0.18 -0.19] |
| sin 2α | -0.035 [+0.024 -0.051] | -0.035 [+0.056 -0.127] | -0.035 [+0.085 -0.167] |
| sin 2α (meas. not in the fit) | -0.046 [+0.031 -0.085] | -0.046 [+0.062 -0.135] | -0.046 [+0.091 -0.156] |
| sin 2β | 0.7155 [+0.0079 -0.0071] | 0.715 [+0.018 -0.015] | 0.715 [+0.028 -0.023] |
| sin 2β (meas. not in the fit) | 0.742 [+0.022 -0.024] | 0.742 [+0.036 -0.039] | 0.742 [+0.047 -0.050] |
| α [deg] | 91.06 [+1.43 -0.75] | 91.1 [+3.6 -1.6] | 91.1 [+4.8 -2.5] |
| α [deg] (meas. not in the fit) | 91.3 [+2.73 -0.88] | 91.3 [+4.0 -1.8] | 91.3 [+4.9 -2.6] |
| α [deg] (dir. meas.) | 86.2 [+3.9 -3.5] || -1.0 [+3.3 -4.9] | 86.2 [+12.3 -6.6] || -1.0 [+9.4 -10.6] | 86.2 [+21.4 -9.4] || -1 [+13 -18] |
| β [deg] | 22.84 [+0.33 -0.30] | 22.84 [+0.73 -0.61] | 22.84 [+1.15 -0.94] |
| β [deg] (meas. not in the fit) | 24.21 [+0.74 -1.12] | 24.2 [+1.4 -1.8] | 24.2 [+1.9 -2.3] |
| β [deg] (dir. meas.) | 22.52 [+0.45 -0.44] | 22.52 [+0.90 -0.88] | 22.5 [+1.4 -1.3] |
| γ [deg] | 66.23 [+0.60 -1.43] | 66.2 [+1.4 -3.7] | 66.2 [+2.1 -4.7] |
| γ [deg] (meas. not in the fit) | 66.29 [+0.72 -1.86] | 66.3 [+1.4 -4.2] | 66.3 [+2.2 -5.0] |
| γ [deg] (dir. meas.) | 65.9 [+3.3 -3.5] | 65.9 [+6.6 -7.0] | 65.9 [+9.9 -10.5] |
| Ru | 0.3880 [+0.0052 -0.0042] | 0.3880 [+0.0125 -0.0095] | 0.388 [+0.019 -0.015] |
| Rt | 0.9150 [+0.0045 -0.0105] | 0.9150 [+0.0095 -0.0242] | 0.915 [+0.014 -0.031] |
| Observable | Central ± 1 σ | ± 2 σ | ± 3 σ |
|---|---|---|---|
| ρsbar | -0.00835 [+0.00027 -0.00044] | -0.00835 [+0.00054 -0.00134] | -0.00835 [+0.00080 -0.00167] |
| ηsbar | -0.01896 [+0.00035 -0.00026] | -0.01896 [+0.00083 -0.00060] | -0.01896 [+0.00115 -0.00096] |
| Observable | Central ± 1 σ | ± 2 σ | ± 3 σ |
|---|---|---|---|
| βs ≡ − arg(−Vcs V*cb/Vts V*tb) [rad] | 0.01882 [+0.00026 -0.00028] | 0.01882 [+0.00059 -0.00088] | 0.01882 [+0.00093 -0.00119] |
| sin 2βs | 0.03757 [+0.00057 -0.00054] | 0.0376 [+0.0012 -0.0017] | 0.0376 [+0.0019 -0.0023] |
| |Vud| | 0.974358 [+0.000049 -0.000054] | 0.974358 [+0.000097 -0.000121] | 0.97436 [+0.00014 -0.00019] |
| |Vus| | 0.22498 [+0.00023 -0.00022] | 0.22498 [+0.00052 -0.00043] | 0.22498 [+0.00081 -0.00062] |
| |Vub| | 0.003730 [+0.000044 -0.000048] | 0.00373 [+0.00011 -0.00010] | 0.00373 [+0.00019 -0.00015] |
| |Vcd| | 0.22484 [+0.00023 -0.00021] | 0.22484 [+0.00052 -0.00043] | 0.22484 [+0.00081 -0.00061] |
| |Vcs| | 0.973509 [+0.000054 -0.000059] | 0.97351 [+0.00011 -0.00013] | 0.97351 [+0.00016 -0.00019] |
| |Vcb| | 0.04160 [+0.00020 -0.00058] | 0.04160 [+0.00045 -0.00100] | 0.04160 [+0.00066 -0.00121] |
| |Vtd| | 0.008573 [+0.000046 -0.000158] | 0.00857 [+0.00012 -0.00031] | 0.00857 [+0.00018 -0.00037] |
| |Vts| | 0.04088 [+0.00020 -0.00066] | 0.04088 [+0.00043 -0.00097] | 0.04088 [+0.00066 -0.00119] |
| |Vtb| | 0.9991248 [+0.0000268 -0.0000074] | 0.999125 [+0.000044 -0.000017] | 0.999125 [+0.000052 -0.000027] |
| |Vud| (meas. not in the fit) | 0.974402 [+0.000058 -0.000058] | 0.97440 [+0.00010 -0.00013] | 0.97440 [+0.00015 -0.00021] |
| |Vus| (meas. not in the fit) | 0.22535 [+0.00141 -0.00039] | 0.22535 [+0.00418 -0.00078] | 0.2253 [+0.0053 -0.0012] |
| |Vub| (meas. not in the fit) | 0.003673 [+0.000072 -0.000084] | 0.00367 [+0.00015 -0.00014] | 0.00367 [+0.00023 -0.00019] |
| |Vcb| (meas. not in the fit) | 0.04178 [+0.00061 -0.00078] | 0.04178 [+0.00090 -0.00129] | 0.0418 [+0.0012 -0.0016] |
| Observable | Central ± 1 σ | ± 2 σ | ± 3 σ |
|---|---|---|---|
| Δmd [ps-1] (meas. not in the fit) | 0.534 [+0.033 -0.027] | 0.534 [+0.055 -0.060] | 0.534 [+0.078 -0.082] |
| Δms [ps-1] (meas. not in the fit) | 17.26 [+0.63 -0.41] | 17.26 [+1.87 -0.97] | 17.3 [+2.3 -1.3] |
| εK [10-3] (meas. not in the fit) | 2.07 [+0.33 -0.13] | 2.07 [+0.41 -0.31] | 2.07 [+0.49 -0.37] |
| mt [GeV/c2] (meas. not in the fit) | 165.0 [+4.1 -6.0] | 165.0 [+8.7 -8.2] | 165.0 [+11.1 -9.9] |
| BK (lattice value not in the fit) | 0.772 [+0.076 -0.057] | 0.772 [+0.154 -0.081] | 0.77 [+0.20 -0.10] |
| fBs/fBd (lattice value not in the fit) | 1.231 [+0.037 -0.028] | 1.231 [+0.064 -0.066] | 1.231 [+0.090 -0.087] |
| fBs (lattice value not in the fit) | 0.2294 [+0.0035 -0.0065] | 0.2294 [+0.0074 -0.0085] | 0.2294 [+0.0091 -0.0101] |
| BBs/BBd (lattice value not in the fit) | 1.061 [+0.044 -0.062] | 1.061 [+0.089 -0.118] | 1.06 [+0.13 -0.15] |
| BBs (lattice value not in the fit) | 1.303 [+0.051 -0.055] | 1.303 [+0.087 -0.070] | 1.303 [+0.104 -0.085] |
| Observable | Central ± 1 σ | ± 2 σ | ± 3 σ |
|---|---|---|---|
| B(B+→τν) [10-4] | 0.869 [+0.031 -0.030] | 0.869 [+0.073 -0.062] | 0.869 [+0.110 -0.086] |
| B(B+→τν) [10-4] (meas. not in the fit) | 0.857 [+0.035 -0.032] | 0.857 [+0.071 -0.056] | 0.857 [+0.110 -0.079] |
| B(B+→μν) [10-6] | 0.391 [+0.013 -0.016] | 0.391 [+0.032 -0.028] | 0.391 [+0.050 -0.039] |
| B(B+→eν) [10-11] | 0.916 [+0.032 -0.038] | 0.916 [+0.076 -0.068] | 0.916 [+0.116 -0.093] |
| B(B→e+e-) [10-15] | 2.241 [+0.096 -0.088] | 2.24 [+0.14 -0.18] | 2.24 [+0.18 -0.21] |
| B(B→μ+μ-) [10-11] | 9.63 [+0.38 -0.40] | 9.63 [+0.58 -0.81] | 9.63 [+0.73 -0.95] |
| B(Bs→e+e-) [10-14] | 7.68 [+0.17 -0.31] | 7.68 [+0.39 -0.47] | 7.68 [+0.47 -0.54] |
| B(Bs→μ+μ-) [10-9] | 3.25 [+0.13 -0.10] | 3.25 [+0.19 -0.17] | 3.25 [+0.23 -0.20] |
| B(Bs→μ+μ-) [10-9] (meas. not in the fit) | 3.30 [+0.12 -0.16] | 3.30 [+0.16 -0.22] | 3.30 [+0.19 -0.25] |
| B(Ds+→τ+ν) | 0.05223 [+0.00011 -0.00046] | 0.05223 [+0.00023 -0.00072] | 0.05223 [+0.00034 -0.00084] |
| B(Ds+→τ+ν) (meas. not in the fit) | 0.05205 [+0.00028 -0.00047] | 0.05205 [+0.00039 -0.00059] | 0.05205 [+0.00051 -0.00070] |
| B(Ds+→μ+ν) [10-2] | 0.5360 [+0.0011 -0.0047] | 0.5360 [+0.0023 -0.0074] | 0.5360 [+0.0034 -0.0087] |
| B(Ds+→μ+ν) [10-2] (meas. not in the fit) | 0.5360 [+0.0010 -0.0059] | 0.5360 [+0.0022 -0.0076] | 0.5360 [+0.0034 -0.0089] |
| B(D+→τ+ν) [10-3] | 1.071 [+0.015 -0.017] | 1.071 [+0.035 -0.036] | 1.071 [+0.050 -0.050] |
| B(D+→τ+ν) [10-3] (meas. not in the fit) | 1.064 [+0.024 -0.014] | 1.064 [+0.035 -0.030] | 1.064 [+0.046 -0.043] |
| B(D+→μ+ν) [10-3] | 0.4009 [+0.0037 -0.0038] | 0.4009 [+0.0070 -0.0060] | 0.4009 [+0.0086 -0.0073] |
| B(D+→μ+ν) [10-3] (meas. not in the fit) | 0.4016 [+0.0053 -0.0028] | 0.4016 [+0.0068 -0.0063] | 0.4016 [+0.0082 -0.0077] |
| B(K+→μ+ν) | 0.63578 [+0.00088 -0.00097] | 0.6358 [+0.0018 -0.0020] | 0.6358 [+0.0027 -0.0030] |
| B(K+→μ+ν) (meas. not in the fit) | 0.6361 [+0.0015 -0.0020] | 0.6361 [+0.0032 -0.0044] | 0.6361 [+0.0049 -0.0068] |
| B(K+→ e+ν) [10-4] | 0.15706 [+0.00022 -0.00024] | 0.15706 [+0.00045 -0.00049] | 0.15706 [+0.00068 -0.00073] |
| B(K+→ e+ν) [10-4] (meas. not in the fit) | 0.15695 [+0.00021 -0.00031] | 0.15695 [+0.00046 -0.00058] | 0.15695 [+0.00070 -0.00084] |
| B(K+→ e+ν) [10-2] | 0.7169 [+0.0010 -0.0011] | 0.7169 [+0.0021 -0.0022] | 0.7169 [+0.0031 -0.0033] |
| B(K+→ e+ν) [10-2] (meas. not in the fit) | 0.7173 [+0.0010 -0.0011] | 0.7173 [+0.0020 -0.0022] | 0.7173 [+0.0031 -0.0034] |