Standard Model fit
The CKM matrix
\[V_{CKM}= \begin{pmatrix}
(0.97435 \pm 0.00014) & (0.22501 \pm 0.00064) & (-)e^{i(-65.5 \pm 1.3)^\circ}\\
( -0.22492 \pm 0.00064)e^{i(0.0362 \pm 0.0011)^\circ} & (0.97345 \pm 0.00014)e^{i(-0.001933 \pm 0.000055)^\circ} & (-) \\
(0.00872 \pm 0.00013)e^{i(-22.53 \pm 0.60)^\circ} & ( -0.04178 \pm 0.00055)e^{i(1.058 \pm 0.028)^\circ} & (0.999088 \pm 0.000024)
\end{pmatrix} \]
Fit results
Predictions are obtained by removing the given constraint from the global fit.
| Parameter | Input value | Full fit | SM Prediction | Pull |
|---|---|---|---|---|
| \(\bar{\rho}\) | \(-\) | \(-\) | \(0.158 \pm 0.010\) | \(-\) |
| \(\bar{\eta}\) | \(-\) | \(-\) | \(0.3496 \pm 0.0094\) | \(-\) |
| \(\rho\) | \(-\) | \(-\) | \(0.162 \pm 0.010\) | \(-\) |
| \(\eta\) | \(-\) | \(-\) | \(0.3589 \pm 0.0097\) | \(-\) |
| \(A\) | \(-\) | \(-\) | \(0.838 \pm 0.012\) | \(-\) |
| \(\lambda\) | \(0.2276 \pm 0.0012\) | \(-\) | \(0.22489 \pm 0.00070\) | \(-2.0\) |
| \(\sin\theta_{12}\) | \(-\) | \(-\) | \(0.22489 \pm 0.00070\) | \(-\) |
| \(\sin\theta_{23}\) | \(-\) | \(-\) | \(0.04252 \pm 0.00056\) | \(-\) |
| \(\sin\theta_{13}\) | \(-\) | \(-\) | \(0.003771 \pm 0.000094\) | \(-\) |
| \(\delta [^{\circ}]\) | \(-\) | \(-\) | \(65.6 \pm 1.4\) | \(-\) |
| \(\|V_{ub}\|\) | \(-\) | \(0.003770 \pm 0.000093\) | \(-\) | \(-\) |
| \(\|V_{cb}\|\) | \(-\) | \(0.04252 \pm 0.00056\) | \(-\) | \(-\) |
| \(\alpha [^{\circ}]\) | \(85.5 \pm 4.5\) | \(91.7 \pm 1.5\) | \(92.6 \pm 1.6\) | \(+1.4\) |
| \(\beta [^{\circ}]\) | \(-\) | \(22.57 \pm 0.60\) | \(24.2 \pm 1.3\) | \(-\) |
| \(\gamma [^{\circ}]\) | \(65.7 \pm 3.4\) | \(65.5 \pm 1.4\) | \(-\) | \(-\) |
| \(J_{cp}\cdot10^{5}\) | \(-\) | \(-\) | \(3.201 \pm 0.099\) | \(-\) |
| \(2\beta+\gamma [^{\circ}]\) | \(-90 \pm 56 \text{ and } 94 \pm 52\) | \(110.8 \pm 1.8\) | \(110.9 \pm 1.8\) | \(+0.3\) |
| \(\sin(2\beta)\) | \(0.698 \pm 0.017\) | \(0.708 \pm 0.014\) | \(0.747 \pm 0.031\) | \(+1.4\) |
| \(\cos(2\beta)\) | \(0.88 \pm 0.11\) | \(0.704 \pm 0.014\) | \(0.661 \pm 0.035\) | \(-1.9\) |
| \(\beta_{s} [^{\circ}]\) | \(-\) | \(-\) | \(1.059 \pm 0.029\) | \(-\) |
| \(m_{c}\mathrm{ [GeV/c^{2}]}\) | \(-\) | \(-\) | \(-\) | \(-\) |
| \(m_{b}\mathrm{ [GeV/c^{2}]}\) | \(-\) | \(-\) | \(-\) | \(-\) |
| \(m_{t}\mathrm{ [GeV/c^{2}]}\) | \(-\) | \(163.25 \pm 0.45\) | \(-\) | \(-\) |
| \(B_{k}\) | \(-\) | \(0.720 \pm 0.019\) | \(-\) | \(-\) |
| \(f_{B_{s}}\) | \(-\) | \(0.2301 \pm 0.0014\) | \(-\) | \(-\) |
| \(f_{B_{s}}/f_{B_{d}}\) | \(-\) | \(1.2090 \pm 0.0040\) | \(-\) | \(-\) |
| \(B_{B_{s}}/B_{B_{d}}\) | \(-\) | \(1.025 \pm 0.021\) | \(-\) | \(-\) |
| \(B_{B_{s}}\) | \(-\) | \(0.820 \pm 0.021\) | \(-\) | \(-\) |
| \(B_{k}\) | \(-\) | \(0.720 \pm 0.019\) | \(-\) | \(-\) |
| \(\|\epsilon_{k}\|\cdot 10^{3}\) | \(2.228 \pm 0.011\) | \(2.227 \pm 0.011\) | \(-\) | \(-\) |
| \(\Delta m_{s} \mathrm{[ps^{-1}]}\) | \(-\) | \(17.7600 \pm 0.0100\) | \(16.78 \pm 0.68\) | \(-\) |
| \(\Delta m_{d} \mathrm{[ps^{-1}]}\) | \(-\) | \(-\) | \(-\) | \(-\) |
| \(\Delta\Gamma_{d}/\Gamma_{d}\) | \(-\) | \(-\) | \(0.00530 \pm 0.00065\) | \(-\) |
| \(\Delta\Gamma_{s}/\Gamma_{s}\) | \(-\) | \(-\) | \(0.165 \pm 0.020\) | \(-\) |
| \(A_{SL_{d}}\) | \(-\) | \(-0.000376 \pm 0.000093\) | \(-0.000376 \pm 0.000093\) | \(-\) |
| \(A_{SL_{s}}\) | \(-\) | \(0.0000163 \pm 0.0000040\) | \(0.0000163 \pm 0.0000040\) | \(-\) |
| \(B(B\rightarrow\tau\nu)\cdot 10^{4}\) | \(1.09 \pm 0.24\) | \(0.909 \pm 0.046\) | \(0.903 \pm 0.047\) | \(-0.8\) |
| \(\bar {B}(B_{s}\rightarrow ll)\cdot10^{9}\) | \(-\) | \(4.02 \pm 0.12\) | \(4.06 \pm 0.13\) | \(-\) |
| \(B(B_{d}\rightarrow ll)\cdot10^{9}\) | \(-\) | \(0.1085 \pm 0.0035\) | \(0.1092 \pm 0.0036\) | \(-\) |