Standard Model fit
The CKM matrix
\[V_{CKM}= \begin{pmatrix}
(0.97431 \pm 0.00012) & (0.22514 \pm 0.00055) & (0.00365 \pm 0.00010)e^{i(-66.8 \pm 2.0)^\circ}\\
( -0.22500 \pm 0.00054)e^{i(0.0351 \pm 0.0010)^\circ} & (0.97344 \pm 0.00012)e^{i(-0.001880 \pm 0.000052)^\circ} & (0.04241 \pm 0.00065) \\
(0.00869 \pm 0.00014)e^{i(-22.23 \pm 0.63)^\circ} & ( -0.04124 \pm 0.00056)e^{i(1.056 \pm 0.032)^\circ} & (0.999112 \pm 0.000024)
\end{pmatrix} \]
Fit results
Predictions are obtained by removing the given constraint from the global fit.
| Parameter | Input value | Full fit | SM Prediction | Pull |
|---|---|---|---|---|
| \(\bar{\rho}\) | \(-\) | \(0.148 \pm 0.013\) | \(-\) | \(-\) |
| \(\bar{\eta}\) | \(-\) | \(0.348 \pm 0.010\) | \(-\) | \(-\) |
| \(\rho\) | \(-\) | \(0.152 \pm 0.014\) | \(-\) | \(-\) |
| \(\eta\) | \(-\) | \(0.357 \pm 0.010\) | \(-\) | \(-\) |
| \(A\) | \(-\) | \(0.826 \pm 0.012\) | \(-\) | \(-\) |
| \(\lambda\) | \(0.22574 \pm 0.00089\) | \(0.22500 \pm 0.00100\) | \(-\) | \(-0.6\) |
| \(J_{cp}\cdot10^{5}\) | \(-\) | \(3.120 \pm 0.090\) | \(-\) | \(-\) |
| \(\sin\theta_{12}\) | \(-\) | \(0.22500 \pm 0.00100\) | \(-\) | \(-\) |
| \(\sin\theta_{23}\) | \(-\) | \(0.04200 \pm 0.00059\) | \(-\) | \(-\) |
| \(\sin\theta_{13}\) | \(-\) | \(0.003675 \pm 0.000095\) | \(-\) | \(-\) |
| \(\delta [^{\circ}]\) | \(-\) | \(66.9 \pm 2.0\) | \(-\) | \(-\) |
| \(\|V_{ub}\|\) | \(0.00372 \pm 0.00023\) | \(0.003675 \pm 0.000095\) | \(0.00366 \pm 0.00011\) | \(-0.3\) |
| \(\|V_{ub}\|\)(excl) | \(0.00365 \pm 0.00013\) | \(-\) | \(-\) | \(0.0\) |
| \(\|V_{ub}\|\)(incl) | \(0.00449 \pm 0.00020\) | \(-\) | \(-\) | \(-3.8\) |
| \(\|V_{cb}\|\) | \(0.0405 \pm 0.0011\) | \(0.04200 \pm 0.00059\) | \(0.04240 \pm 0.00070\) | \(+1.4\) |
| \(\|V_{cb}\|\)(excl) | \(0.03887 \pm 0.00059\) | \(-\) | \(-\) | \(+3.9\) |
| \(\|V_{cb}\|\)(incl) | \(0.04218 \pm 0.00077\) | \(-\) | \(-\) | \(+0.2\) |
| \(\alpha [^{\circ}]\) | \(93.3 \pm 5.6 \text{ and } 166.6 \pm 0.6\) | \(90.9 \pm 2.0\) | \(90.1 \pm 2.2\) | \(-0.6\) |
| \(\beta [^{\circ}]\) | \(-\) | \(22.25 \pm 0.65\) | \(23.8 \pm 1.3\) | \(-\) |
| \(\gamma [^{\circ}]\) | \(-109.9 \pm 4.2 \text{ and } 70.0 \pm 4.2\) | \(66.8 \pm 2.0\) | \(65.8 \pm 2.2\) | \(-0.9\) |
| \(2\beta+\gamma [^{\circ}]\) | \(-90 \pm 56 \text{ and } 94 \pm 52\) | \(111.4 \pm 2.2\) | \(111.4 \pm 2.2\) | \(+0.3\) |
| \(\sin(2\beta)\) | \(0.689 \pm 0.018\) | \(0.699 \pm 0.016\) | \(0.738 \pm 0.033\) | \(+1.2\) |
| \(\cos(2\beta)\) | \(0.87 \pm 0.11\) | \(0.712 \pm 0.016\) | \(0.673 \pm 0.036\) | \(-1.6\) |
| \(\beta_{s} [^{\circ}]\) | \(0.60 \pm 0.88\) | \(-\) | \(1.060 \pm 0.030\) | \(+0.5\) |
| \(m_{c}\mathrm{ [GeV/c^{2}]}\) | \(1.288 \pm 0.025\) | \(-\) | \(-\) | \(-\) |
| \(m_{b}\mathrm{ [GeV/c^{2}]}\) | \(4.176 \pm 0.026\) | \(-\) | \(-\) | \(-\) |
| \(m_{t}\mathrm{ [GeV/c^{2}]}\) | \(165.25 \pm 0.52\) | \(165.50 \pm 0.50\) | \(163.0 \pm 8.0\) | \(-0.4\) |
| \(B_{k}\) | \(0.740 \pm 0.029\) | \(0.755 \pm 0.025\) | \(0.848 \pm 0.072\) | \(+1.3\) |
| \(f_{B_{s}}\) | \(0.2260 \pm 0.0050\) | \(0.2240 \pm 0.0040\) | \(0.2220 \pm 0.0060\) | \(-0.6\) |
| \(f_{B_{s}}/f_{B_{d}}\) | \(1.203 \pm 0.013\) | \(1.205 \pm 0.015\) | \(1.225 \pm 0.035\) | \(+0.6\) |
| \(B_{B_{s}}/B_{B_{d}}\) | \(1.032 \pm 0.038\) | \(1.050 \pm 0.030\) | \(1.100 \pm 0.050\) | \(+1.0\) |
| \(B_{B_{s}}\) | \(0.888 \pm 0.040\) | \(0.878 \pm 0.030\) | \(0.872 \pm 0.046\) | \(-0.4\) |
| \(B_{k}\) | \(0.740 \pm 0.029\) | \(0.755 \pm 0.025\) | \(0.848 \pm 0.072\) | \(+1.3\) |
| \(\|\epsilon_{k}\|\cdot 10^{3}\) | \(2.228 \pm 0.011\) | \(2.227 \pm 0.010\) | \(1.9650 \pm 0.1809\) | \(-1.4\) |
| \(\Delta m_{s} \mathrm{[ps^{-1}]}\) | \(17.757 \pm 0.021\) | \(17.750 \pm 0.050\) | \(17.25 \pm 0.85\) | \(-0.7\) |
| \(\Delta m_{d} \mathrm{[ps^{-1}]}\) | \(0.5064 \pm 0.0019\) | \(-\) | \(-\) | \(-\) |
| \(\Delta\Gamma_{d}/\Gamma_{d}\) | \(-0.0020 \pm 0.0100\) | \(-\) | \(0.00497 \pm 0.00038\) | \(+0.6\) |
| \(\Delta\Gamma_{s}/\Gamma_{s}\) | \(0.1280 \pm 0.0089\) | \(-\) | \(0.153 \pm 0.011\) | \(+1.6\) |
| \(A_{SL_{d}}\) | \(-0.0020 \pm 0.0017\) | \(-0.000292 \pm 0.000026\) | \(-0.000292 \pm 0.000026\) | \(+1.0\) |
| \(A_{SL_{s}}\) | \(-0.00059 \pm 0.00280\) | \(0.0000131 \pm 0.0000011\) | \(0.0000131 \pm 0.0000011\) | \(+0.2\) |
| \(B(B\rightarrow\tau\nu)\cdot 10^{4}\) | \(1.09 \pm 0.24\) | \(0.826 \pm 0.055\) | \(0.812 \pm 0.054\) | \(-1.2\) |