Standard Model fit
The CKM matrix
\[V_{CKM}= \begin{pmatrix}
(0.974344 \pm 0.000081) & (0.22504 \pm 0.00035) & (0.00365 \pm 0.00010)e^{i(-66.8 \pm 1.7)^\circ}\\
( -0.22489 \pm 0.00035)e^{i(0.03504 \pm 0.00088)^\circ} & (0.973477 \pm 0.000082)e^{i(-0.001872 \pm 0.000044)^\circ} & (0.04199 \pm 0.00053) \\
(0.00865 \pm 0.00012)e^{i(-22.33 \pm 0.66)^\circ} & ( -0.04102 \pm 0.00048)e^{i(1.061 \pm 0.032)^\circ} & (0.999122 \pm 0.000019)
\end{pmatrix} \]
Fit results
Predictions are obtained by removing the given constraint from the global fit.
| Parameter | Input value | Full fit | SM Prediction | Pull |
|---|---|---|---|---|
| \(\bar{\rho}\) | \(-\) | \(-\) | \(0.148 \pm 0.012\) | \(-\) |
| \(\bar{\eta}\) | \(-\) | \(-\) | \(0.350 \pm 0.010\) | \(-\) |
| \(\rho\) | \(-\) | \(-\) | \(0.152 \pm 0.013\) | \(-\) |
| \(\eta\) | \(-\) | \(-\) | \(0.360 \pm 0.011\) | \(-\) |
| \(A\) | \(-\) | \(-\) | \(0.8244 \pm 0.0098\) | \(-\) |
| \(\lambda\) | \(0.22564 \pm 0.00089\) | \(-\) | \(0.22495 \pm 0.00035\) | \(-0.7\) |
| \(\sin\theta_{12}\) | \(-\) | \(-\) | \(0.22495 \pm 0.00035\) | \(-\) |
| \(\sin\theta_{23}\) | \(-\) | \(-\) | \(0.04175 \pm 0.00048\) | \(-\) |
| \(\sin\theta_{13}\) | \(-\) | \(-\) | \(0.003675 \pm 0.000097\) | \(-\) |
| \(\delta [^{\circ}]\) | \(-\) | \(-\) | \(67.0 \pm 1.8\) | \(-\) |
| \(\|V_{ub}\|\) | \(0.00388 \pm 0.00026\) | \(0.003675 \pm 0.000097\) | \(0.00365 \pm 0.00010\) | \(-0.9\) |
| \(\|V_{ub}\|\) | \(0.00373 \pm 0.00013\) | \(-\) | \(-\) | \(-0.6\) |
| \(\|V_{ub}\|\) | \(0.00436 \pm 0.00025\) | \(-\) | \(-\) | \(-2.7\) |
| \(\|V_{cb}\|\) | \(0.0403 \pm 0.0012\) | \(0.04175 \pm 0.00048\) | \(0.04200 \pm 0.00053\) | \(+1.1\) |
| \(\|V_{cb}\|\) | \(0.03944 \pm 0.00059\) | \(-\) | \(-\) | \(+3.2\) |
| \(\|V_{cb}\|\) | \(0.04218 \pm 0.00077\) | \(-\) | \(-\) | \(-0.3\) |
| \(\alpha [^{\circ}]\) | \(94.5 \pm 4.0 \text{ and } 166.5 \pm 2.1\) | \(90.7 \pm 1.8\) | \(89.2 \pm 2.1\) | \(-1.2\) |
| \(\beta [^{\circ}]\) | \(-\) | \(22.40 \pm 0.70\) | \(24.8 \pm 1.5\) | \(-\) |
| \(\gamma [^{\circ}]\) | \(71.0 \pm 5.0\) | \(66.9 \pm 1.8\) | \(66.1 \pm 1.9\) | \(-1.0\) |
| \(J_{cp}\cdot10^{5}\) | \(-\) | \(-\) | \(3.097 \pm 0.077\) | \(-\) |
| \(2\beta+\gamma [^{\circ}]\) | \(-90 \pm 56 \text{ and } 94 \pm 52\) | \(111.7 \pm 2.1\) | \(111.8 \pm 2.1\) | \(+0.3\) |
| \(\sin(2\beta)\) | \(0.687 \pm 0.020\) | \(0.703 \pm 0.016\) | \(0.761 \pm 0.035\) | \(+1.8\) |
| \(\cos(2\beta)\) | \(0.88 \pm 0.11\) | \(0.709 \pm 0.017\) | \(0.644 \pm 0.040\) | \(-2.0\) |
| \(\beta_{s} [^{\circ}]\) | \(1.94 \pm 0.63\) | \(-\) | \(1.063 \pm 0.033\) | \(-1.5\) |
| \(m_{c}\mathrm{ [GeV/c^{2}]}\) | \(1.2889 \pm 0.0070\) | \(-\) | \(-\) | \(-\) |
| \(m_{b}\mathrm{ [GeV/c^{2}]}\) | \(4.191 \pm 0.014\) | \(-\) | \(-\) | \(-\) |
| \(m_{t}\mathrm{ [GeV/c^{2}]}\) | \(165.30 \pm 0.40\) | \(165.10 \pm 0.40\) | \(156.5 \pm 6.5\) | \(-1.3\) |
| \(B_{k}\) | \(0.756 \pm 0.016\) | \(0.763 \pm 0.015\) | \(-\) | \(-\) |
| \(f_{B_{s}}\) | \(0.2301 \pm 0.0011\) | \(0.2296 \pm 0.0011\) | \(-\) | \(-\) |
| \(f_{B_{s}}/f_{B_{d}}\) | \(1.2079 \pm 0.0050\) | \(1.2079 \pm 0.0050\) | \(-\) | \(-\) |
| \(B_{B_{s}}/B_{B_{d}}\) | \(1.032 \pm 0.038\) | \(1.051 \pm 0.029\) | \(-\) | \(-\) |
| \(B_{B_{s}}\) | \(0.888 \pm 0.040\) | \(0.841 \pm 0.021\) | \(-\) | \(-\) |
| \(B_{k}\) | \(0.756 \pm 0.016\) | \(0.763 \pm 0.015\) | \(-\) | \(-\) |
| \(\|\epsilon_{k}\|\cdot 10^{3}\) | \(2.228 \pm 0.011\) | \(2.226 \pm 0.010\) | \(-\) | \(-\) |
| \(\Delta m_{s} \mathrm{[ps^{-1}]}\) | \(17.757 \pm 0.021\) | \(17.755 \pm 0.025\) | \(18.13 \pm 0.81\) | \(+0.4\) |
| \(\Delta m_{d} \mathrm{[ps^{-1}]}\) | \(0.5064 \pm 0.0019\) | \(-\) | \(-\) | \(-\) |
| \(\Delta\Gamma_{d}/\Gamma_{d}\) | \(0.00100 \pm 0.00999\) | \(-\) | \(0.00527 \pm 0.00059\) | \(+0.4\) |
| \(\Delta\Gamma_{s}/\Gamma_{s}\) | \(0.1280 \pm 0.0089\) | \(-\) | \(0.163 \pm 0.018\) | \(+1.4\) |
| \(A_{SL_{d}}\) | \(-0.0020 \pm 0.0017\) | \(-0.000311 \pm 0.000031\) | \(-0.000311 \pm 0.000031\) | \(+1.0\) |
| \(A_{SL_{s}}\) | \(-0.00059 \pm 0.00280\) | \(0.0000138 \pm 0.0000013\) | \(0.0000138 \pm 0.0000013\) | \(+0.2\) |
| \(B(B\rightarrow\tau\nu)\cdot 10^{4}\) | \(1.09 \pm 0.24\) | \(0.861 \pm 0.047\) | \(0.853 \pm 0.048\) | \(-1.0\) |
| \(\bar {B}(B_{s}\rightarrow ll)\cdot10^{9}\) | \(2.90 \pm 0.70\) | \(3.98 \pm 0.11\) | \(4.01 \pm 0.11\) | \(+1.5\) |
| \(B(B_{d}\rightarrow ll)\cdot10^{9}\) | \(0.39 \pm 0.15\) | \(0.1104 \pm 0.0033\) | \(0.1106 \pm 0.0034\) | \(-1.9\) |