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 Prediction
\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 - -
B_{k} 0.766 \pm 0.01 0.7697 \pm 0.0094 0.93 \pm 0.066
\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
\beta [^{\circ}] - 22.41 \pm 0.66 23.33 \pm 0.81
\sin(2\beta) 0.68 \pm 0.024 0.706 \pm 0.017 0.725 \pm 0.019
\cos(2\beta) 0.78 \pm 0.16 0.707 \pm 0.016 0.687 \pm 0.021
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\rightarrow\tau\nu) 10^{-4} 1.06 \pm 0.2 0.839 \pm 0.056 0.821 \pm 0.057
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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