Constraints, Parameters Value Gaussian Error Flat Error Comments
\lambda 0.2258 0.0014 - -
\left | V_{cb} \right |~[10^{-3}] 39.2 1.1 - Average of exclusive
\left | V_{cb} \right |~[10^{-3}] 41.7 0.7 - Average of inclusive
\left | V_{ub} \right |~[10^{-4}] \mathrm{(excl.)} 35.0 4.0 - HFAG BR + Lattice QCD
\left | V_{ub} \right |~[10^{-4}] \mathrm{(incl.)} 39.9 1.5 4.0 HFAG average
m_b 4.21 0.08 - -
m_c 1.3 0.1 - -
\Delta m_d~[ps^{-1}] 0.507 0.005 - WA (CDF/CLEO/LEP/BaBar/Belle)
\Delta m_s~[ps^{-1}] 17.77 0.12 - CDF Likelihood is used
m_t~[GeV/c^2] 161.2 1.7 - (CDF/D0)
f_{B_s}\sqrt{B_{B_s}}~[MeV] 270 30 - Lattice QCD
\xi 1.21 0.04 - Lattice QCD
|\varepsilon_K|~[10^{-3}] 2.228 0.011 - -
B_K 0.75 0.07 - Lattice QCD
f_K~[GeV] 0.160 - - -
\Delta m_K~[10^{-2}~ps^{-1}] 0.5301 - - -
M_{K^0}~[GeV/c^2] 0.497648 - - -

Click on the parameter name to jump to the corresponding plot
Parameter Input value Full fit SM Prediction
\bar{\rho} - 0.132 \pm 0.02 -
\bar{\eta} - 0.358 \pm 0.012 -
\rho - 0.135 \pm 0.021 -
\eta - 0.367 \pm 0.013 -
A - 0.8095 \pm 0.0095 -
\lambda 0.2253 \pm 0.0011 0.22545 \pm 0.00065 -
|V_{ub}| 0.00376 \pm 0.0002 0.00364 \pm 0.00011 0.00355 \pm 0.00014
|V_{cb}| 0.04083 \pm 0.00045 0.04117 \pm 0.00043 0.04269 \pm 0.00099
\sin\theta_{12} - 0.22545 \pm 0.00065 -
\sin\theta_{23} - 0.04117 \pm 0.00043 -
\sin\theta_{13} - 0.00364 \pm 0.00011 -
\delta - 69.7 \pm 2.9 -
m_{b},{\rm {GeV}/c^{2}} 4.21 \pm 0.08 - -
m_{c},{\rm {GeV}/c^{2}} 1.3 \pm 0.1 - -
m_{t},{\rm {GeV}/c^{2}} 163.4 \pm 1.2 163.4 \pm 1.2 163.5 \pm 9.5
\Delta m_{s},{\rm ps^{-1}} 17.77 \pm 0.12 17.77 \pm 0.12 18.3 \pm 1.3
\Delta m_{d},{\rm ps^{-1}} 0.507 \pm 0.005 - -
\Delta m_{K},10^{-15}{\rm ps^{-1}} 1.8 \pm 1.8 - -
f_{B_{s}} 0.239 \pm 0.01 0.2359 \pm 0.0056 0.2349 \pm 0.0067
f_{B_{s}}/f_{B_{d}} 1.23 \pm 0.03 1.225 \pm 0.025 1.213 \pm 0.044
B_{B_{s}}/B_{B_{d}} 1.06 \pm 0.04 1.069 \pm 0.036 1.113 \pm 0.085
B_{B_{s}} 0.87 \pm 0.04 0.845 \pm 0.036 0.769 \pm 0.065
\alpha, [^{\circ}] 91.4 \pm 6.1 87.8 \pm 3.0 85.4 \pm 3.7
\beta, [^{\circ}] - 22.42 \pm 0.74 25.2 \pm 1.6
\sin(2\beta) 0.654 \pm 0.026 0.705 \pm 0.018 0.771 \pm 0.036
\cos(2\beta) 0.87 \pm 0.13 0.71 \pm 0.018 0.639 \pm 0.043
2\beta+\gamma, [^{\circ}] -90 \pm 56 \text{ and } 94 \pm 52 114.7 \pm 3.1 114.9 \pm 3.1
\gamma, [^{\circ}] -106 \pm 11 \text{ and } 74 \pm 11 69.8 \pm 3.0 69.6 \pm 3.1
|\varepsilon_{K}| 0.00222994 \pm 1.04974 \times 10^{-5} 0.00222854 \pm 9.98004 \times 10^{-06} 0.00192 \pm 0.00018
B(B\rightarrow\tau\nu),10^{-4} 1.72 \pm 0.28 0.867 \pm 0.078 0.805 \pm 0.071
J_{cp}\times 10^{5} - 3.09 \pm 0.11 -

The fit results for all the nine CKM elements are
{\small V_{CKM}=\left(\begin{array}{ccc} 0.97425 \pm 0.00015 & 0.22549 \pm 0.00064 & (0.00364 \pm 0.00011)e^{i(-69.7 \pm 2.9)^\circ}\\ -(0.2253 \pm 0.00064)e^{i( 0.0348 \pm 0.0012)^\circ} & 0.97341 \pm 0.00015 & 0.04117 \pm 0.00043 \\ (0.00871 \pm 0.00019)e^{i(-22.46 \pm 0.73)^\circ} & -(0.04039 \pm 0.00043)e^{i( 1.089 \pm 0.038)^\circ} & 0.999145 \pm 1.8\times 10^{-5}\end{array}\right)}




Full fit result for \,\bar{\rho}
0.132 \pm 0.02
95% prob:[0.092, 0.171]
99% prob:[0.074, 0.190]
EPS - PDF - PNG - JPG - GIF



Full fit result for \,\bar{\eta}
0.358 \pm 0.012
95% prob:[0.332, 0.383]
99% prob:[0.321, 0.396]
EPS - PDF - PNG - JPG - GIF



Full fit result for \,\bar{\rho} - \bar{\eta}Sorted ascending



EPS - PDF - PNG - JPG - GIF




Full fit result for \,\rho
0.135 \pm 0.021
95% prob:[0.095, 0.175]
99% prob:[0.076, 0.195]
EPS - PDF - PNG - JPG - GIF



Full fit result for \,\eta
0.367 \pm 0.013
95% prob:[0.341, 0.393]
99% prob:[0.329, 0.406]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,A
0.8095 \pm 0.0095
95% prob:[0.791, 0.83]
99% prob:[0.782, 0.839]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,\lambda
0.2253 \pm 0.0011
95% prob:[0.2231, 0.2275]
99% prob:[0.2218, 0.2285]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,\lambda
0.22545 \pm 0.00065
95% prob:[0.2242, 0.2268]
99% prob:[0.2236, 0.2274]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,|V_{ub}|
0.00376 \pm 0.0002
95% prob:[0.00340, 0.00428]
99% prob:[0.00327, 0.00463]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,|V_{ub}|
0.00364 \pm 0.00011
95% prob:[0.00342, 0.00386]
99% prob:[0.00332, 0.00399]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,|V_{ub}|
0.00355 \pm 0.00014
95% prob:[0.00327, 0.00385]
99% prob:[0.00313, 0.00401]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,|V_{ub}|



EPS - PDF - PNG - JPG - GIF




Fit Input for \,|V_{cb}|
0.04083 \pm 0.00045
95% prob:[0.03995, 0.04177]
99% prob:[0.03955, 0.04217] U [0.04219, 0.04233]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,|V_{cb}|
0.04117 \pm 0.00043
95% prob:[0.04037, 0.04209]
99% prob:[0.03995, 0.04247]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,|V_{cb}|
0.04269 \pm 0.00099
95% prob:[0.04069, 0.0447]
99% prob:[0.03971, 0.04563]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,|V_{cb}|



EPS - PDF - PNG - JPG - GIF




Full fit result for \,\sin\theta_{12}
0.22545 \pm 0.00065
95% prob:[0.2242, 0.2268]
99% prob:[0.2236, 0.2274]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,\sin\theta_{23}
0.04117 \pm 0.00043
95% prob:[0.04033, 0.04209]
99% prob:[0.03993, 0.04251]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,\sin\theta_{13}
0.00364 \pm 0.00011
95% prob:[0.00342,0.003867]
99% prob:[0.00332,0.00399]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,\delta
69.7 \pm 2.9
95% prob:[63.9, 75.7]
99% prob:[61.1, 78.6]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,m_{t},{\rm {GeV}/c^{2}}
Gaussian likelihood used
163.4 \pm 1.2
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,m_{t},{\rm {GeV}/c^{2}}
163.4 \pm 1.2
95% prob:[161, 165.7]
99% prob:[159.9, 166.9]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,m_{t},{\rm {GeV}/c^{2}}
163.5 \pm 9.5
95% prob:[144.7, 183.1]
99% prob:[137.6, 194.2]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,m_{t},{\rm {GeV}/c^{2}}



EPS - PDF - PNG - JPG - GIF




Fit Input for \,\Delta m_{s},{\rm ps^{-1}}
Gaussian likelihood used
17.77 \pm 0.12
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,\Delta m_{s},{\rm ps^{-1}}
17.77 \pm 0.12
95% prob:[17.5, 18.0]
99% prob:[17.4, 18.1]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,\Delta m_{s},{\rm ps^{-1}}
18.3 \pm 1.3
95% prob:[15.9, 20.9]
99% prob:[14.8, 22.3]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,\Delta m_{s},{\rm ps^{-1}}



EPS - PDF - PNG - JPG - GIF




Fit Input for \,f_{B_{s}}
Gaussian likelihood used
0.239 \pm 0.01
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,f_{B_{s}}
0.2359 \pm 0.0056
95% prob:[0.2252, 0.2477]
99% prob:[0.22, 0.2537]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,f_{B_{s}}
0.2349 \pm 0.0067
95% prob:[0.2221, 0.2491]
99% prob:[0.217, 0.2571]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,f_{B_{s}}



EPS - PDF - PNG - JPG - GIF




Fit Input for \,f_{B_{s}}/f_{B_{d}}
Gaussian likelihood used
1.23 \pm 0.03
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,f_{B_{s}}/f_{B_{d}}
1.225 \pm 0.025
95% prob:[1.175, 1.275]
99% prob:[1.151, 1.299]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,f_{B_{s}}/f_{B_{d}}
1.213 \pm 0.044
95% prob:[1.13, 1.303]
99% prob:[1.083, 1.085] U [1.093, 1.352]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,f_{B_{s}}/f_{B_{d}}



EPS - PDF - PNG - JPG - GIF




Fit Input for \,B_{B_{s}}/B_{B_{d}}
Gaussian likelihood used
1.06 \pm 0.04
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,B_{B_{s}}/B_{B_{d}}
1.069 \pm 0.036
95% prob:[0.997, 1.141]
99% prob:[0.963, 1.179]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,B_{B_{s}}/B_{B_{d}}
1.113 \pm 0.085
95% prob:[0.96, 1.279]
99% prob:[0.893, 1.3]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,B_{B_{s}}/B_{B_{d}}



EPS - PDF - PNG - JPG - GIF




Fit Input for \,B_{B_{s}}
Gaussian likelihood used
0.87 \pm 0.04
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,B_{B_{s}}
0.845 \pm 0.036
95% prob:[0.775, 0.919]
99% prob:[0.738, 0.954]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,B_{B_{s}}
0.769 \pm 0.065
95% prob:[0.648, 0.915]
99% prob:[0.608, 0.999]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,B_{B_{s}}



EPS - PDF - PNG - JPG - GIF




Fit Input for \,\alpha, [^{\circ}]
91.4 \pm 6.1
95% prob:[81, 102.] U [161., 169]
99% prob:[76.8, 108.] U [157., 171.]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,\alpha, [^{\circ}]
87.8 \pm 3.0
95% prob:[82.1, 93.8]
99% prob:[79.2, 96.2]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,\alpha, [^{\circ}]
85.4 \pm 3.7
95% prob:[78.3, 93.2]
99% prob:[74.5, 96.2]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,\alpha, [^{\circ}]



EPS - PDF - PNG - JPG - GIF




Full Fit result for \,\beta, [^{\circ}]
22.42 \pm 0.74
95% prob:[20.9, 23.9]
99% prob:[20.2, 24.7]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,\beta, [^{\circ}]
25.2 \pm 1.6
95% prob:[22.3, 28.6]
99% prob:[21.3, 30.2]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,\sin(2\beta)
0.654 \pm 0.026
95% prob:[0.601, 0.708]
99% prob:[0.574, 0.735]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,\sin(2\beta)
0.705 \pm 0.018
95% prob:[0.669, 0.742]
99% prob:[0.651, 0.762]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,\sin(2\beta)
0.771 \pm 0.036
95% prob:[0.706, 0.844]
99% prob:[0.68, 0.872] U [0.875, 0.878]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,\sin(2\beta)



EPS - PDF - PNG - JPG - GIF




Fit Input for \,\cos(2\beta)
0.87 \pm 0.13
95% prob:[0.44, 0.99]
99% prob:[0.12, 0.99]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,\cos(2\beta)
0.71 \pm 0.018
95% prob:[0.672, 0.745]
99% prob:[0.649, 0.76]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,\cos(2\beta)
0.639 \pm 0.043
95% prob:[0.544, 0.712]
99% prob:[0.507, 0.731]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,\cos(2\beta)



EPS - PDF - PNG - JPG - GIF




Fit Input for \,2\beta+\gamma, [^{\circ}]
-90 \pm 56 \text{ and } 94 \pm 52
95% prob:[-166, 166.]
99% prob:[-179, 179]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,2\beta+\gamma, [^{\circ}]
114.7 \pm 3.1
95% prob:[108.3, 120.7]
99% prob:[105.6, 123.4]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,2\beta+\gamma, [^{\circ}]
114.9 \pm 3.1
95% prob:[108.6, 120.9]
99% prob:[105.8, 123.6]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,2\beta+\gamma, [^{\circ}]



EPS - PDF - PNG - JPG - GIF




Fit Input for \,\gamma, [^{\circ}]
-106 \pm 11 \text{ and } 74 \pm 11
95% prob:[-128, -85.] U [52.1, 94.4]
99% prob:[-139, -75.] U [41.4, 104.]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,\gamma, [^{\circ}]
69.8 \pm 3.0
95% prob:[63.9, 75.7]
99% prob:[61, 78.5]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,\gamma, [^{\circ}]
69.6 \pm 3.1
95% prob:[63.4, 75.6]
99% prob:[60.5, 78.8]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,\gamma, [^{\circ}]



EPS - PDF - PNG - JPG - GIF




Fit Input for \,|\varepsilon_{K}|
0.00222994 \pm 1.04974\times 10^{-5}
95% prob:[0.00220745, 0.00224944]
99% prob:[0.00219845, 0.00225644]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,|\varepsilon_{K}|
0.00222854 \pm 9.98004\times 10^{-06}
95% prob:[0.00220858, 0.0022485]
99% prob:[0.0021986, 0.00225848]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,|\varepsilon_{K}|
0.00192 \pm 0.00018
95% prob:[0.00157, 0.00230]
99% prob:[0.00141, 0.00252]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,|\varepsilon_{K}|



EPS - PDF - PNG - JPG - GIF




Fit Input for \,B(B\rightarrow\tau
u),10^{-4}
Gaussian likelihood used
1.72 \pm 0.28
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,B(B\rightarrow\tau
u),10^{-4}
0.867 \pm 0.078
95% prob:[0.721, 1.031]
99% prob:[0.661, 1.127]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,B(B\rightarrow\tau
u),10^{-4}
0.805 \pm 0.071
95% prob:[0.674, 0.958]
99% prob:[0.619, 1.051]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,B(B\rightarrow\tau
u),10^{-4}



EPS - PDF - PNG - JPG - GIF




Full fit result for \,J_{cp}\times 10^{-5}
3.09 \pm 0.11
95% prob:[2.87, 3.30]
99% prob:[2.77, 3.42]
EPS - PDF - PNG - JPG - GIF

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