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Standard Model fit

The CKM matrix

\[V_{CKM}= \begin{pmatrix} (0.97431 \pm 0.00017) & (0.2251 \pm 0.0007) & (0.00370 \pm 0.00008)e^{i(-65.3 \pm 1.3)^\circ}\\\\ ( -0.2250 \pm 0.0007)e^{i(-179.9651 \pm 0.0008)^\circ} & (0.97345 \pm 0.00017)e^{i(-0.001866 \pm 0.000045)^\circ} & (0.04194 \pm 0.00041) \\\\ ( 0.00858 \pm 0.00010)e^{i(-22.37 \pm 0.57)^\circ} & (-0.04121 \pm 0.00040)e^{i(-178.951 \pm 0.027)^\circ} & (0.999113 \pm 0.000017) \end{pmatrix} \]

Fit results

Predictions are obtained by removing the given constraint from the global fit.

Parameter Input value Full fit SM Prediction Pull
\(\bar{\rho}\) \(-\) \(0.160 \pm 0.009\) \(-\) \(-\)
\(\bar{\eta}\) \(-\) \(0.346 \pm 0.009\) \(-\) \(-\)
\(\rho\) \(-\) \(0.164 \pm 0.009\) \(-\) \(-\)
\(\eta\) \(-\) \(0.355 \pm 0.009\) \(-\) \(-\)
\(A\) \(-\) \(0.828 \pm 0.010\) \(-\) \(-\)
\(\lambda\) \(-\) \(0.2251 \pm 0.0008\) \(-\) \(-\)
\(J_{cp}\cdot10^{5}\) \(-\) \(3.09 \pm 0.07\) \(-\) \(-\)
\(\sin\theta_{12}\) \(-\) \(0.2251 \pm 0.0008\) \(-\) \(-\)
\(\sin\theta_{23}\) \(-\) \(0.04193 \pm 0.00041\) \(-\) \(-\)
\(\sin\theta_{13}\) \(-\) \(0.00370 \pm 0.00008\) \(-\) \(-\)
\(\delta [^{\circ}]\) \(-\) \(1.139 \pm 0.023\) \(-\) \(-\)
\(\|V_{ud}\|\) \(0.97433 \pm 0.00017\) \(0.97431 \pm 0.00017\) \(0.9737 \pm 0.0011\) \(0.6\)
\(\|V_{ub}\|\) \(0.00375 \pm 0.00026\) \(0.003702 \pm 0.000081\) \(0.003696 \pm 0.000087\) \(0.2\)
\(\|V_{cb}\|\) \(0.04132 \pm 0.00073\) \(0.04194 \pm 0.00041\) \(0.04221 \pm 0.00051\) \(1.0\)
\(\gamma [^{\circ}]\) \(65.4 \pm 3.3\) \(65.1 \pm 1.3\) \(65.2 \pm 1.5\) \(0.1\)
\(\alpha [^{\circ}]\) \(93.8 \pm 4.5\) \(92.4 \pm 1.4\) \(92.3 \pm 1.5\) \(0.3\)
\(\beta [^{\circ}]\) \(-\) \(22.4 \pm 0.6\) \(23.9 \pm 1.2\) \(-\)
\(\sin(2\beta)\) \(0.689 \pm 0.019\) \(0.705 \pm 0.014\) \(0.739 \pm 0.027\) \(1.5\)
\(\cos(2\beta)\) \(-\) \(-\) \(0.709 \pm 0.014\) \(-\)
\(2\beta+\gamma [^{\circ}]\) \(-\) \(-\) \(110.1 \pm 1.7\) \(-\)
\(\phi_s\) \(-\) \(-\) \(-0.0367 \pm 0.0010\) \(-\)
\(m_{c}\mathrm{ [GeV/c^{2}]}\) \(1.2917 \pm 0.0048\) \(-\) \(-\) \(-\)
\(m_{b}\mathrm{ [GeV/c^{2}]}\) \(4.196 \pm 0.014\) \(-\) \(-\) \(-\)
\(m_{t}\mathrm{ [GeV/c^{2}]}\) \(171.79 \pm 0.38\) \(-\) \(-\) \(-\)
\(\|\epsilon\|\) \(0.002228 \pm 0.000011\) \(0.002227 \pm 0.000014\) \(0.00200 \pm 0.00014\) \(1.6\)
\(\epsilon^{\prime}/\epsilon\) \(0.00166 \pm 0.00033\) \(0.00161 \pm 0.00028\) \(0.00146 \pm 0 .00045\) \(0.3\)
\(\Delta m_{s} \mathrm{[ps^{-1}]}\) \(17.741 \pm 0.020\) \(17.741 \pm 0.020\) \(17.89 \pm 0.65\) \(0.2\)
\(\Delta m_{d} \mathrm{[ps^{-1}]}\) \(0.5065 \pm 0.0019\) \(0.5067 \pm 0.0020\) \(0.519 \pm 0.022\) \(0.6\)
\(B(B\rightarrow\tau\nu) \cdot 10^{4}\) \(1.06 \pm 0.19\) \(0.872 \pm 0.041\) \(0.865 \pm 0.041\) \(1.0\)
\(\bar {B}(B_{s}\rightarrow ll)\cdot 10^{9}\) \(3.41 \pm 0.29\) \(3.44 \pm 0.12\) \(3.45 \pm 0.13\) \(0.1\)

Fit Results on the \(\bar{ \rho } - \bar{ \eta }\) complex plane

Full fit result for \(\bar{\rho} - \bar{\eta}\) Angles-only result for \(\bar{\rho} - \bar{\eta}\)
rhoeta-fullfit-sm-small rhoeta-angles-sm-small
EPS - PDF - PNG - JPG - GIF EPS - PDF - PNG - JPG - GIF
Sides-only result for \(\bar{\rho} - \bar{\eta}\) Tree-only result for \(\bar{\rho} - \bar{\eta}\)
rhoeta-sides-sm-small rhoeta-tree-sm-small
EPS - PDF - PNG - JPG - GIF EPS - PDF - PNG - JPG - GIF

Selection of Probability Density plots for input values, posterior values, predictions and pulls

Fit Input for \(\|V_{cb}\|-\|V_{ub}\|\) Compatibility Plot for $|V_{cb}| $
VubVcbPlot-small pull_sm_Vcb-small
EPS - PDF - PNG - JPG - GIF EPS - PDF - PNG - JPG - GIF
Compatibility Plot for \(\|V_{ub}\|\) Compatibility Plot for \(\sin 2\beta\)
pull_sm_Vub-small pull_sm_sin2beta-small
EPS - PDF - PNG - JPG - GIF EPS - PDF - PNG - JPG - GIF
Fit Input for \(\alpha [^{\circ}]\) Fit Input for \(\gamma [^{\circ}]\)
input_alpha-small input_gamma-small
EPS - PDF - PNG - JPG - GIF EPS - PDF - PNG - JPG - GIF
Compatibility Plot for \(\alpha [^{\circ}]\) Compatibility Plot for \(\gamma [^{\circ}]\)
pull_sm_alpha-small pull_sm_gamma-small
EPS - PDF - PNG - JPG - GIF EPS - PDF - PNG - JPG - GIF