Standard Model Fit results: Summer 2015

Inclusive

Parameter Input value Full fit SM Prediction
\bar{\rho} - 0.166 \pm 0.018 -
\bar{\eta} - 0.355 \pm 0.014 -
A - 0.8335 \pm 0.0096 -
\lambda 0.2252 \pm 0.00099 0.22505 \pm 0.00075 -
|V_{ub}| 0.00441 \pm 0.00022 0.00385 \pm 0.00011 -
|V_{cb}| 0.0422 \pm 0.0007 0.04228 \pm 0.00045 -
B_{k} 0.766 \pm 0.01 0.763 \pm 0.01 0.735 \pm 0.052
\alpha [^{\circ}] 92.7 \pm 6.2 92.0 \pm 2.5 91.4 \pm 3.2
\beta [^{\circ}] - 23.17 \pm 0.78 25.7 \pm 1.3
\sin(2\beta) 0.68 \pm 0.024 0.722 \pm 0.02 0.782 \pm 0.028
\cos(2\beta) 0.78 \pm 0.16 0.69 \pm 0.02 0.621 \pm 0.035
2\beta+\gamma [^{\circ}] -90 \pm 54 \text{ and } 90 \pm 54 111.2 \pm 2.6 -
\gamma [^{\circ}] -108.6 \pm 6.5 \text{ and } 71.4 \pm 6.5 64.8 \pm 2.5 -
B(B\rightarrow\tau\nu) 10^{-4} 1.06 \pm 0.2 0.911 \pm 0.069 0.894 \pm 0.069
B(B_{s}\rightarrow ll), 10^{-9} - 3.58 \pm 0.13 -
B(B_{d}\rightarrow ll), 10^{-9} - 0.1059 \pm 0.0058 -

The fit results for all the nine CKM elements are V_{CKM}=\left(\begin{array}{ccc} (0.97429 \pm 0.00015) & (0.22505 \pm 0.00064) & (0.00385 \pm 0.00011)e^{i(-67.55 \pm 0.22 \text{ and } -64.88 \pm 2.0 \text{ and } -62.22 \pm 0.22)^\circ}\\ ( -0.22497 \pm 0.00064)e^{i(0.03654 \pm 0.00089)^\circ} & (0.97339 \pm 0.00015)e^{i(-0.00194444 \pm 0.0004)^\circ} & (0.04228 \pm 0.00045) \\ (0.00863 \pm 0.00016)e^{i(-23.13 \pm 0.73)^\circ} & ( -0.04157 \pm 0.00045)e^{i(1.079 \pm 0.035)^\circ} & (0.999093 \pm 0.00002)\end{array}\right)




Full fit result for \,\bar{\rho}
0.166 \pm 0.018
95% prob:[0.129, 0.203]
99% prob:[0.107, 0.223]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,\bar{\eta}
0.355 \pm 0.014
95% prob:[0.328, 0.383]
99% prob:[0.315, 0.397]
EPS - PDF - PNG - JPG - GIF



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



EPS - PDF - PNG - JPG - GIF




Full fit result for \,A
0.8335 \pm 0.0096
95% prob:[0.814, 0.856]
99% prob:[0.803, 0.867]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,\lambda
0.2252 \pm 0.00099
95% prob:[0.2235, 0.2271]
99% prob:[0.2226, 0.228]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,\lambda
0.22505 \pm 0.00075
95% prob:[0.2239, 0.2265]
99% prob:[0.2233, 0.2271]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,|V_{ub}|
0.00392 \pm 0.00034
95% prob:[0.00396, 0.00484]
99% prob:[0.00375, 0.00506]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,|V_{ub}|
0.00385 \pm 0.00011
95% prob:[0.00356, 0.00357] U [0.00363, 0.00408]
99% prob:[0.00354, 0.00418]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,|V_{cb}|
Gaussian likelihood used
0.0407 \pm 0.0015

EPS - PDF - PNG - JPG - GIF
too many splits for range


Full Fit result for \,|V_{cb}|
0.04228 \pm 0.00045
95% prob:[0.04137, 0.04323]
99% prob:[0.04089, 0.04095] U [0.04096, 0.04357] U [0.0436, 0.04373]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,B_{k}
0.766 \pm 0.01
95% prob:[0.744, 0.786]
99% prob:[0.736, 0.794]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,B_{k}
0.763 \pm 0.01
95% prob:[0.745, 0.784]
99% prob:[0.736, 0.795]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,B_{k}
0.735 \pm 0.052
95% prob:[0.634, 0.845]
99% prob:[0.6, 0.895] U [0.901, 0.906]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,B_{k}



EPS - PDF - PNG - JPG - GIF




Fit Input for \,\alpha [^{\circ}]
92.7 \pm 6.2 \text{ and } 167.3 \pm 0.1
95% prob:[83.5, 102.9] U [161.2, 169.8]
99% prob:[78.9, 108.2] U [157.9, 171.5] U [179.5, 180]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,\alpha [^{\circ}]
92.0 \pm 2.5
95% prob:[86.4, 96.6] U [96.9, 97]
99% prob:[84.1, 99.4]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,\alpha [^{\circ}]
91.4 \pm 3.2
95% prob:[84.6, 85] U [85.2, 97.8]
99% prob:[81.1, 100.] U [100., 101.]
EPS - PDF - PNG - JPG - GIF



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



EPS - PDF - PNG - JPG - GIF




Full Fit result for \,\beta [^{\circ}]
23.17 \pm 0.78
95% prob:[21.2, 21.2] U [21.4, 21.5] U [21.6, 24.8]
99% prob:[21.0, 25.5]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,\beta [^{\circ}]
25.7 \pm 1.3
95% prob:[23.24, 28.4]
99% prob:[22.11, 29.72]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,\sin(2\beta)
0.68 \pm 0.024
95% prob:[0.635, 0.729]
99% prob:[0.613, 0.755]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,\sin(2\beta)
0.722 \pm 0.02
95% prob:[0.683, 0.762]
99% prob:[0.669, 0.778]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,\sin(2\beta)
0.782 \pm 0.028
95% prob:[0.726, 0.837]
99% prob:[0.698, 0.862]
EPS - PDF - PNG - JPG - GIF



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



EPS - PDF - PNG - JPG - GIF




Fit Input for \,\cos(2\beta)
0.78 \pm 0.16
95% prob:[0.44, 0.99]
99% prob:[0.12, 0.99]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,\cos(2\beta)
0.69 \pm 0.02
95% prob:[0.6498, 0.7325]
99% prob:[0.6288, 0.7431]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,\cos(2\beta)
0.621 \pm 0.035
95% prob:[0.549, 0.690]
99% prob:[0.509, 0.718]
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 54 \text{ and } 90 \pm 54
95% prob:[-173, -6.4] U [6.8, 173.]
99% prob:[-179, -0.6] U [0.5, 180]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,2\beta+\gamma [^{\circ}]
111.2 \pm 2.6
95% prob:[106.1, 116.8]
99% prob:[103, 119.2]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,\gamma [^{\circ}]
71.4 \pm 6.5 \text{ and } 71.4 \pm 6.5
95% prob:[-122, -95.] U [57.8, 84.1]
99% prob:[-129, -89.] U [50.7, 90.7]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,\gamma [^{\circ}]
64.8 \pm 2.5
95% prob:[59.9, 70.2]
99% prob:[57.4, 73.4]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,B(B\rightarrow\tau
u) 10^{-4}
Gaussian likelihood used
1.06 \pm 0.2

EPS - PDF - PNG - JPG - GIF



Full Fit result for \,B(B\rightarrow\tau
u) 10^{-4}
0.911 \pm 0.069
95% prob:[0.781, 1.051]
99% prob:[0.738, 1.13]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,B(B\rightarrow\tau
u) 10^{-4}
0.894 \pm 0.069
95% prob:[0.76, 1.034]
99% prob:[0.705, 1.123]
EPS - PDF - PNG - JPG - GIF



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



EPS - PDF - PNG - JPG - GIF




Full fit result for \,B(B_{s}\rightarrow ll), 10^{-9}
3.58 \pm 0.13
95% prob:[3.31, 3.33] U [3.34, 3.82]
99% prob:[3.25, 3.97]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,B(B_{d}\rightarrow ll), 10^{-9}
0.1059 \pm 0.0058
95% prob:[0.0948, 0.1175]
99% prob:[0.0897, 0.1236]
EPS - PDF - PNG - JPG - GIF

Exclisive

Parameter Input value Full fit SM PredictionSorted ascending
\cos(2\beta) 0.78 \pm 0.16 0.707 \pm 0.016 0.687 \pm 0.021
\sin(2\beta) 0.68 \pm 0.024 0.706 \pm 0.017 0.725 \pm 0.019
B(B\rightarrow\tau\nu) 10^{-4} 1.06 \pm 0.2 0.839 \pm 0.056 0.821 \pm 0.057
B_{k} 0.766 \pm 0.01 0.7697 \pm 0.0094 0.93 \pm 0.066
\beta [^{\circ}] - 22.41 \pm 0.66 23.33 \pm 0.81
\alpha [^{\circ}] 92.7 \pm 6.2 86.5 \pm 1.5 \text{ and } 88.6 \pm 0.5 \text{ and } 89.7 \pm 0.3 83.9 \pm 2.6 \text{ and } 87.1 \pm 0.4
\bar{\rho} - 0.129 \pm 0.017 -
\bar{\eta} - 0.36 \pm 0.013 -
A - 0.8099 \pm 0.0093 -
\lambda 0.22519 \pm 0.00099 0.22506 \pm 0.00066 -
|V_{ub}| 0.00369 \pm 0.00015 0.00364055 \pm 9.3633\times 10^{-5} -
|V_{cb}| 0.0392 \pm 0.0007 0.04111 \pm 0.00043 -
|V_{ub}|/|V_{cb}| 0.083\pm0.006 - -
2\beta+\gamma [^{\circ}] -90 \pm 54 \text{ and } 90 \pm 54 115.0 \pm 2.4 -
\gamma [^{\circ}] -108.6 \pm 6.5 \text{ and } 71.4 \pm 6.5 70.2 \pm 2.5 -
B(B_{s}\rightarrow ll), 10^{-9} - 3.49 \pm 0.12 -
B(B_{d}\rightarrow ll), 10^{-9} - 0.1114 \pm 0.0057 -

The fit results for all the nine CKM elements are V_{CKM}=\left(\begin{array}{ccc} (0.97426 \pm 0.00015) & (0.22517 \pm 0.00063) & (0.00364055 \pm 9.3633\times 10^{-5})e^{i(-72.44 \pm 0.22 \text{ and } -69.77 \pm 2.0)^\circ}\\ ( -0.22491 \pm 0.00065)e^{i(0.03491 \pm 0.00079)^\circ} & (0.97344 \pm 0.00018)e^{i(-0.00187222 \pm 3.88889\times 10^{-5})^\circ} & (0.04111 \pm 0.00043) \\ (0.00873 \pm 0.00015)e^{i(-22.4 \pm 0.53 \text{ and } -21.66 \pm 0.07)^\circ} & ( -0.04036 \pm 0.00045)e^{i(1.094 \pm 0.032)^\circ} & (0.999143 \pm 0.00002)\end{array}\right)




Full fit result for \,\bar{\rho}
0.129 \pm 0.017
95% prob:[0.093, 0.162]
99% prob:[0.080, 0.179]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,\bar{\eta}
0.36 \pm 0.013
95% prob:[0.334, 0.386]
99% prob:[0.322, 0.400]
EPS - PDF - PNG - JPG - GIF



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



EPS - PDF - PNG - JPG - GIF




Full fit result for \,A
0.8099 \pm 0.0093
95% prob:[0.792, 0.828]
99% prob:[0.781, 0.834]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,\lambda
0.22519 \pm 0.00099
95% prob:[0.2235, 0.2271]
99% prob:[0.2226, 0.228]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,\lambda
0.22506 \pm 0.00066
95% prob:[0.224, 0.2265]
99% prob:[0.2233, 0.2271]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,|V_{ub}|
0.00392 \pm 0.00034
95% prob:[0.00338, 0.00398]
99% prob:[0.00324, 0.00413]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,|V_{ub}|
0.00364055 \pm 9.3633\times 10^{-5}
95% prob:[0.00346563, 0.00382154]
99% prob:[0.00334866, 0.00335166] U [0.00339565, 0.00391652]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,|V_{cb}|
Gaussian likelihood used
0.0407 \pm 0.0015

EPS - PDF - PNG - JPG - GIF



Full Fit result for \,|V_{cb}|
0.04111 \pm 0.00043
95% prob:[0.04035, 0.04036] U [0.04038, 0.04192]
99% prob:[0.03992, 0.04196]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,B_{k}
0.766 \pm 0.01
95% prob:[0.748, 0.788]
99% prob:[0.742, 0.795]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,B_{k}
0.7697 \pm 0.0094
95% prob:[0.752, 0.791]
99% prob:[0.741, 0.8]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,B_{k}
0.93 \pm 0.066
95% prob:[0.802, 1.068]
99% prob:[0.75, 1.148]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,B_{k}



EPS - PDF - PNG - JPG - GIF




Fit Input for \,\alpha [^{\circ}]
92.7 \pm 6.2
95% prob:[83.5, 102.9] U [161.2, 169.8]
99% prob:[78.8, 108.2] U [157.9, 171.5] U [179.5, 180]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,\alpha [^{\circ}]
86.5 \pm 1.5 \text{ and } 88.6 \pm 0.5 \text{ and } 89.7 \pm 0.3
95% prob:[82.1, 90.8] U [91.2, 92.2]
99% prob:[80.2, 80.3] U [80.7, 94.7]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,\alpha [^{\circ}]
83.9 \pm 2.6 \text{ and } 87.1 \pm 0.4
95% prob:[78.3, 90.4]
99% prob:[75.1, 75.7] U [76, 93.7]
EPS - PDF - PNG - JPG - GIF



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



EPS - PDF - PNG - JPG - GIF




Full Fit result for \,\beta [^{\circ}]
22.41 \pm 0.66
95% prob:[21.2, 23.8]
99% prob:[20.5, 24.5]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,\beta [^{\circ}]
23.33 \pm 0.81
95% prob:[21.5, 24.8]
99% prob:[20.8, 25.8]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,\sin(2\beta)
0.68 \pm 0.024
95% prob:[0.635, 0.729]
99% prob:[0.613, 0.755]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,\sin(2\beta)
0.706 \pm 0.017
95% prob:[0.678, 0.74]
99% prob:[0.659, 0.755]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,\sin(2\beta)
0.725 \pm 0.019
95% prob:[0.686, 0.764]
99% prob:[0.661, 0.664] U [0.668, 0.784]
EPS - PDF - PNG - JPG - GIF



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



EPS - PDF - PNG - JPG - GIF




Fit Input for \,\cos(2\beta)
0.78 \pm 0.16
95% prob:[0.44, 0.99]
99% prob:[0.12, 0.99]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,\cos(2\beta)
0.707 \pm 0.016
95% prob:[0.672, 0.734] U [0.738, 0.739]
99% prob:[0.655, 0.753] U [0.761, 0.762]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,\cos(2\beta)
0.687 \pm 0.021
95% prob:[0.646, 0.729]
99% prob:[0.622, 0.749]
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 54 \text{ and } 90 \pm 54
95% prob:[-173, -6.4] U [6.8, 173.]
99% prob:[-179, -0.6] U [0.5, 180]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,2\beta+\gamma [^{\circ}]
115.0 \pm 2.4
95% prob:[110.3, 120.4]
99% prob:[107.4, 108] U [108.5, 122.4]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,\gamma [^{\circ}]
71.4 \pm 6.5 \text{ and } 71.4 \pm 6.5
95% prob:[-122, -95.] U [57.8, 84.1]
99% prob:[-129, -89.] U [50.7, 90.7]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,\gamma [^{\circ}]
70.2 \pm 2.5
95% prob:[65.4, 75.5]
99% prob:[63, 77.3]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,B(B\rightarrow\tau
u) 10^{-4}
Gaussian likelihood used
1.06 \pm 0.2

EPS - PDF - PNG - JPG - GIF



Full Fit result for \,B(B\rightarrow\tau
u) 10^{-4}
0.839 \pm 0.056
95% prob:[0.727, 0.952]
99% prob:[0.68, 1.02]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,B(B\rightarrow\tau
u) 10^{-4}
0.821 \pm 0.057
95% prob:[0.708, 0.937]
99% prob:[0.634, 0.996]
EPS - PDF - PNG - JPG - GIF



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



EPS - PDF - PNG - JPG - GIF

too many splits for range


Full fit result for \,B(B_{s}\rightarrow ll), 10^{-9}
3.49 \pm 0.12
95% prob:[3.257, 3.697] U [3.73, 3.765]
99% prob:[3.16, 3.163] U [3.181, 3.822] U [3.834, 3.855]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,B(B_{d}\rightarrow ll), 10^{-9}
0.1114 \pm 0.0057
95% prob:[0.0995, 0.122] U [0.1247, 0.125]
99% prob:[0.0942, 0.0974] U [0.0977, 0.1277]
EPS - PDF - PNG - JPG - GIF

 
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