Standard Model fit
The CKM matrix
\[V_{CKM}= \begin{pmatrix}
(0.97426 \pm 0.00015) & (0.22529 \pm 0.00061) & (0.00363 \pm 0.00012)e^{i(-69.3 \pm 3.3)^\circ}\\
( -0.22518 \pm 0.00066)e^{i(0.03509 \pm 0.00098)^\circ} & (0.97341 \pm 0.00015)e^{i(-0.00187 \pm 0.00005)^\circ} & (0.0417 \pm 0.00056) \\
(0.0088 \pm 0.00018)e^{i(-22.0 \pm 0.8)^\circ} & ( -0.04092 \pm 0.00055)e^{i(1.069 \pm 0.042)^\circ} & (0.999119 \pm 0.000021)
\end{pmatrix} \]
Fit results
Predictions are obtained by removing the given constraint from the global fit.
| Parameter | Input value | Full fit | SM Prediction |
|---|---|---|---|
| \(\bar{\rho}\) | \(-\) | \(0.132 \pm 0.023\) | \(-\) |
| \(\bar{\eta}\) | \(-\) | \(0.352 \pm 0.014\) | \(-\) |
| \(\rho\) | \(-\) | \(0.136 \pm 0.024\) | \(-\) |
| \(\eta\) | \(-\) | \(0.361 \pm 0.014\) | \(-\) |
| \(A\) | \(-\) | \(0.821 \pm 0.012\) | \(-\) |
| \(\lambda\) | \(0.2253 \pm 0.0009\) | \(0.22534 \pm 0.00065\) | \(-\) |
| \(\|V_{ub}\|\) | \(0.00375 \pm 0.00046\) | \(0.00363 \pm 0.00012\) | \(0.00362 \pm 0.00013\) |
| \(\|V_{cb}\|\) | \(0.0409 \pm 0.001\) | \(0.0417 \pm 0.00056\) | \(0.04204 \pm 0.00068\) |
| \(\sin\theta_{12}\) | \(-\) | \(0.22523 \pm 0.00065\) | \(-\) |
| \(\sin\theta_{23}\) | \(-\) | \(0.0417 \pm 0.00057\) | \(-\) |
| \(\sin\theta_{13}\) | \(-\) | \(0.00363 \pm 0.00012\) | \(-\) |
| \(\delta [^{\circ}]\) | \(-\) | \(69.4 \pm 3.4\) | \(-\) |
| \(m_{b}\mathrm{ [GeV/c^{2}]}\) | \(4.18 \pm 0.03\) | \(-\) | \(-\) |
| \(m_{c}\mathrm{ [GeV/c^{2}]}\) | \(1.3 \pm 0.03\) | \(-\) | \(-\) |
| \(\Delta m_{s} \mathrm{[ps^{-1}]}\) | \(17.761 \pm 0.022\) | \(17.755 \pm 0.022\) | \(17.5 \pm 1.1\) |
| \(m_{t}\mathrm{ [GeV/c^{2}]}\) | \(164.1 \pm 0.7\) | \(163.9 \pm 0.7\) | \(161.9 \pm 7.3\) |
| \(\Delta m_{d} \mathrm{[ps^{-1}]}\) | \(0.51 \pm 0.003\) | \(-\) | \(-\) |
| \(\Delta m_{K} \mathrm{[ps^{-1}]}\) | \(1.8 \pm 1.8\) | \(-\) | \(-\) |
| \(f_{B_{s}}\) | \(0.2277 \pm 0.0045\) | \(0.2274 \pm 0.0037\) | \(0.2275 \pm 0.0065\) |
| \(f_{B_{s}}/f_{B_{d}}\) | \(1.202 \pm 0.022\) | \(1.198 \pm 0.02\) | \(1.184 \pm 0.061\) |
| \(B_{B_{s}}/B_{B_{d}}\) | \(1.06 \pm 0.11\) | \(1.1 \pm 0.062\) | \(1.122 \pm 0.076\) |
| \(B_{B_{s}}\) | \(0.875 \pm 0.04\) | \(0.876 \pm 0.029\) | \(0.882 \pm 0.044\) |
| \(B_{k}\) | \(0.766 \pm 0.01\) | \(0.7667 \pm 0.0099\) | \(0.839 \pm 0.077\) |
| \(\alpha [^{\circ}]\) | \(90.7 \pm 7.0\) | \(88.6 \pm 3.3\) | \(87.2 \pm 3.9\) |
| \(\beta [^{\circ}]\) | \(-\) | \(22.03 \pm 0.86\) | \(24.5 \pm 1.8\) |
| \(\sin(2\beta)\) | \(0.68 \pm 0.024\) | \(0.695 \pm 0.022\) | \(0.754 \pm 0.042\) |
| \(\cos(2\beta)\) | \(0.78 \pm 0.16\) | \(0.717 \pm 0.021\) | \(0.653 \pm 0.049\) |
| \(2\beta+\gamma [^{\circ}]\) | \(-90 \pm 54 \text{ and } 90 \pm 54\) | \(113.6 \pm 3.4\) | \(113.9 \pm 3.4\) |
| \(\gamma [^{\circ}]\) | \(-111.5 \pm 7.5 \text{ and } 68.4 \pm 7.5\) | \(69.2 \pm 3.4\) | \(69.5 \pm 3.9\) |
| \(\|\epsilon_{k}\|\) | \(-\) | \(2.227 \pm 0.011\) | \(-\) |
| \(B(B\rightarrow\tau\nu) 10^{-4}\) | \(1.14 \pm 0.22\) | \(0.84 \pm 0.071\) | \(0.81 \pm 0.07\) |
| \(J_{cp} 10^{-5}\) | \(-\) | \(3.109 \pm 0.086\) | \(-\) |
| \(\bar {B}(B_{s}\rightarrow ll), 10^{-9}\) | \(2.9 \pm 0.7\) | \(3.86 \pm 0.15\) | \(3.91 \pm 0.16\) |
| \(B(B_{d}\rightarrow ll), 10^{-9}\) | \(0.37 \pm 0.15\) | \(0.1136 \pm 0.0068\) | \(0.1137 \pm 0.0068\) |
| \(\Delta\Gamma_{d}/\Gamma_{d}\) | \(-\) | \(0.00516 \pm 0.00036\) | \(-\) |
| \(\Delta\Gamma_{s}/\Gamma_{s}\) | \(-\) | \(0.153 \pm 0.012\) | \(-\) |
| \(\beta_{s} [^{\circ}]\) | \(-\) | \(1.071 \pm 0.041\) | \(-\) |