Standard Model Fit results: Summer 2016

Parameter Input value Full fit SM Prediction Pull
\bar{\rho} - - 0.153 \pm 0.013 -
\bar{\eta} - - 0.343 \pm 0.011 -
\rho - - 0.157 \pm 0.014 -
\eta - - 0.352 \pm 0.011 -
A - - 0.833 \pm 0.012 -
\lambda 0.22534 \pm 0.00089 - 0.22497 \pm 0.00069 -0.2
\sin\theta_{12} - - 0.22497 \pm 0.00069 -
\sin\theta_{23} - - 0.04229 \pm 0.00057 -
\sin\theta_{13} - - 0.00368 \pm 0.00010 -
\delta [^{\circ}] - - 65.9 \pm 2.0 -
|V_{ub}| 0.00373 \pm 0.00021 0.00368 \pm 0.00010 0.00366 \pm 0.00012 -0.4
|V_{ub}| (excl.) 0.00361 \pm 0.00013 - - +0.2
|V_{ub}| (incl.) 0.00440 \pm 0.00022 - - -3.0
|V_{cb}| 0.04170 \pm 0.00100 0.04229 \pm 0.00057 0.04256 \pm 0.00069 +0.7
|V_{cb}| (excl.) 0.0400 \pm 0.0011 - - +1.7
|V_{cb}| (incl.) 0.04200 \pm 0.00064 - - +0.5
\alpha [^{\circ}] 94.2 \pm 5.0 \text{ and } 166.4 \pm 0.8 92.0 \pm 2.0 91.0 \pm 2.5 -0.6
\beta [^{\circ}] - 22.11 \pm 0.76 23.2 \pm 1.2 -
\gamma [^{\circ}] -109.5 \pm 5.7 \text{ and } 70.5 \pm 5.7 65.8 \pm 1.9 65.3 \pm 2.0 -0.7
J_{cp}\cdot10^{5} - - 3.115 \pm 0.093 -
2\beta+\gamma [^{\circ}] -90 \pm 53 \text{ and } 89 \pm 54 110.0 \pm 2.3 110.2 \pm 2.3 +0.3
\sin(2\beta) 0.680 \pm 0.023 0.696 \pm 0.018 0.724 \pm 0.028 +1.2
\cos(2\beta) 0.86 \pm 0.12 0.716 \pm 0.018 0.686 \pm 0.030 -1.4
\beta_{s} [^{\circ}] 0.94 \pm 0.94 - 1.042 \pm 0.034 +0.1
m_{c}\mathrm{ [GeV/c^{2}]} 1.288 \pm 0.025 - - -
m_{b}\mathrm{ [GeV/c^{2}]} 4.176 \pm 0.026 - - -
m_{t}\mathrm{ [GeV/c^{2}]} 165.72 \pm 0.73 165.53 \pm 0.67 160.1 \pm 7.4 -0.8
B_{k} 0.740 \pm 0.029 0.751 \pm 0.026 0.813 \pm 0.065 +0.9
f_{B_{s}} 0.2260 \pm 0.0050 0.2238 \pm 0.0041 0.2204 \pm 0.0070 -0.7
f_{B_{s}}/f_{B_{d}} 1.203 \pm 0.013 1.202 \pm 0.011 1.209 \pm 0.034 +0.1
B_{B_{s}}/B_{B_{d}} 1.032 \pm 0.036 1.042 \pm 0.029 1.069 \pm 0.053 +0.5
B_{B_{s}} 0.888 \pm 0.053 0.866 \pm 0.035 0.854 \pm 0.045 -0.6
B_{k} 0.740 \pm 0.029 0.751 \pm 0.026 0.813 \pm 0.065 +0.9
|\epsilon_{k}|\cdot 10^{3} 2.228 \pm 0.011 2.227 \pm 0.011 2.03 \pm 0.18 -1.1
\Delta m_{s} \mathrm{[ps^{-1}]} 17.757 \pm 0.021 17.755 \pm 0.020 17.69 \pm 0.93 -0.1
\Delta m_{d} \mathrm{[ps^{-1}]} 0.5063 \pm 0.0019 - - -
\Delta\Gamma_{d}/\Gamma_{d} -0.0020 \pm 0.0100 - 0.00497 \pm 0.00039 +0.6
\Delta\Gamma_{s}/\Gamma_{s} 0.1240 \pm 0.0089 - 0.154 \pm 0.012 +1.9
A_{SL_{d}} 0.00020 \pm 0.00200 -0.000290 \pm 0.000027 -0.000290 \pm 0.000027 -0.3
A_{SL_{s}} 0.0017 \pm 0.0030 0.0000127 \pm 0.0000012 0.0000127 \pm 0.0000012 -0.6
B(B\rightarrow\tau\nu)\cdot 10^{4} 1.06 \pm 0.20 0.828 \pm 0.060 0.807 \pm 0.061 -1.3

CKM matrix thus looks like V_{CKM}=\left(\begin{array}{ccc} (0.97431 \pm 0.00015) & (0.22512 \pm 0.00067) & (0.00365 \pm 0.00012)e^{i(-65.88 \pm 1.88)^\circ}\\ ( -0.22497 \pm 0.00067)e^{i(0.0352 \pm 0.0010)^\circ} & (0.97344 \pm 0.00015)e^{i(-0.001877 \pm 0.000055)^\circ} & (0.04255 \pm 0.00069) \\ (0.00869 \pm 0.00014)e^{i(-22.00 \pm 0.73)^\circ} & ( -0.04156 \pm 0.00056)e^{i(1.040 \pm 0.035)^\circ} & (0.999097 \pm 0.000024)\end{array}\right)




Full fit result for \,\bar{\rho}
0.153 \pm 0.013
95% prob:[0.126, 0.181]
99% prob:[0.112, 0.195]
EPS - PDF - PNG - JPG - GIF



Full fit result for \,\bar{\eta}
0.343 \pm 0.011
95% prob:[0.320, 0.367]
99% prob:[0.310, 0.380]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,\bar{\rho} - \bar{\eta}
 
EPS - PDF - PNG - JPG - GIF



Angles only result for \,\bar{\rho} - \bar{\eta}
 
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Sides only result for \,\bar{\rho} - \bar{\eta}
 
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Inclusive result for \,\bar{\rho} - \bar{\eta}
 
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Exclusive result for \,\bar{\rho} - \bar{\eta}
 
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Full fit result for \,\rho
0.157 \pm 0.014
95% prob:[0.129, 0.185]
99% prob:[0.115, 0.200]
EPS - PDF - PNG - JPG - GIF



Full fit result for \,\eta
0.352 \pm 0.011
95% prob:[0.329, 0.377]
99% prob:[0.318, 0.390]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,A
0.833 \pm 0.012
95% prob:[0.809, 0.859]
99% prob:[0.797, 0.872]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,\lambda
0.22534 \pm 0.00089
95% prob:[0.22356, 0.22712]
99% prob:[0.22257, 0.22801]
EPS - PDF - PNG - JPG - GIF



Prediction for \,\lambda
0.22497 \pm 0.00069
95% prob:[0.22376, 0.22653]
99% prob:[0.22306, 0.22722]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,\sin\theta_{12}
0.22497 \pm 0.00069
95% prob:[0.22376, 0.22653]
99% prob:[0.22306, 0.22722]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,\sin\theta_{23}
0.04229 \pm 0.00057
95% prob:[0.04115, 0.04344]
99% prob:[0.04058, 0.04401]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,\sin\theta_{13}
0.00368 \pm 0.00010
95% prob:[0.00346, 0.00390]
99% prob:[0.00336, 0.00401]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,|V_{ub}|
Gaussian likelihood used
0.00373 \pm 0.00021

EPS - PDF - PNG - JPG - GIF



Full Fit result for \,|V_{ub}|
0.00368 \pm 0.00010
95% prob:[0.00346, 0.00390]
99% prob:[0.00336, 0.00401]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,|V_{ub}|
0.00366 \pm 0.00012
95% prob:[0.00341, 0.00391]
99% prob:[0.00330, 0.00405]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,|V_{ub}|
{\rm pull}(|V_{ub}|) = -0.4


EPS - PDF - PNG - JPG - GIF




Fit Input for \,|V_{cb}|
Gaussian likelihood used
0.04170 \pm 0.00100

EPS - PDF - PNG - JPG - GIF



Full Fit result for \,|V_{cb}|
0.04229 \pm 0.00057
95% prob:[0.04115, 0.04344]
99% prob:[0.04059, 0.04402]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,|V_{cb}|
0.04256 \pm 0.00069
95% prob:[0.04117, 0.04399]
99% prob:[0.04051, 0.04469]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,|V_{cb}|
{\rm pull}(|V_{cb}|) = +0.7


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Inputs for \,|V_{xb}|
 
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Fit Input for \,\alpha [^{\circ}]
94.2 \pm 5.0 \text{ and } 166.4 \pm 0.8
95% prob:[85.80, 103.10] U [162.50, 170.00]
99% prob:[81.90, 109.10] U [160.00, 171.70]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,\alpha [^{\circ}]
92.0 \pm 2.0
95% prob:[87.7, 96.0]
99% prob:[85.9, 98.4]
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SM Fit prediction for \,\alpha [^{\circ}]
91.0 \pm 2.5
95% prob:[86.2, 96.0]
99% prob:[83.7, 98.7]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,\alpha [^{\circ}]
{\rm pull}(\alpha ) = -0.6


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Full Fit result for \,\beta [^{\circ}]
22.11 \pm 0.76
95% prob:[20.61, 23.65]
99% prob:[19.96, 24.50]
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SM Fit prediction for \,\beta [^{\circ}]
23.2 \pm 1.2
95% prob:[20.8, 25.7]
99% prob:[19.7, 27.0]
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Fit Input for \,\gamma [^{\circ}]
-109.5 \pm 5.7 \text{ and } 70.5 \pm 5.7
95% prob:[-122.4, -98.8] U [57.6, 81.2]
99% prob:[-130.3, -94.0] U [49.7, 86.0]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,\gamma [^{\circ}]
65.8 \pm 1.9
95% prob:[61.950, 70.010]
99% prob:[59.860, 72.110]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,\gamma [^{\circ}]
65.3 \pm 2.0
95% prob:[61.1, 69.5]
99% prob:[59.0, 71.9]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,\gamma [^{\circ}]
{\rm pull}(\gamma ) = -0.7


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Full fit result for \,J_{cp}\cdot10^{5}
3.115 \pm 0.093
95% prob:[2.932, 3.307]
99% prob:[2.846, 3.407]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,2\beta+\gamma [^{\circ}]
-90 \pm 53 \text{ and } 89 \pm 54
95% prob:[-173, -6] U [6, 173]
99% prob:[-179, 0.000000000] U [0.000000000, 180]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,2\beta+\gamma [^{\circ}]
110.0 \pm 2.3
95% prob:[105.4, 114.9]
99% prob:[102.9, 117.3]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,2\beta+\gamma [^{\circ}]
110.2 \pm 2.3
95% prob:[105.5, 115.0]
99% prob:[103.0, 117.4]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,2\beta+\gamma [^{\circ}]
{\rm pull}(2\beta+\gamma ) = +0.3


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Fit Input for \,\sin(2\beta)
0.680 \pm 0.023
95% prob:[0.635, 0.729]
99% prob:[0.613, 0.755]
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Full Fit result for \,\sin(2\beta)
0.696 \pm 0.018
95% prob:[0.660, 0.736]
99% prob:[0.642, 0.755]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,\sin(2\beta)
0.724 \pm 0.028
95% prob:[0.668, 0.783]
99% prob:[0.638, 0.810]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,\sin(2\beta)Sorted ascending
{\rm pull}(sin(2\beta)) = +1.2


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



Full Fit result for \,\cos(2\beta)
0.716 \pm 0.018
95% prob:[0.678, 0.752]
99% prob:[0.656, 0.767]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,\cos(2\beta)
0.686 \pm 0.030
95% prob:[0.624, 0.746]
99% prob:[0.588, 0.771]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,\cos(2\beta)
{\rm pull}(cos(2\beta)) = -1.4


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Fit Input for \,\beta_{s} [^{\circ}]
0.94 \pm 0.94
95% prob:0
99% prob:0
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Prediction for \,\beta_{s} [^{\circ}]
1.042 \pm 0.034
95% prob:[0.974, 1.115]
99% prob:[0.942, 1.155]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,m_{t}\mathrm{ [GeV/c^{2}]}
Gaussian likelihood used
165.72 \pm 0.73

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Full Fit result for \,m_{t}\mathrm{ [GeV/c^{2}]}
165.53 \pm 0.67
95% prob:[164.20, 167.10]
99% prob:[163.50, 167.80]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,m_{t}\mathrm{ [GeV/c^{2}]}
160.1 \pm 7.4
95% prob:[145.1, 174.9]
99% prob:[139.0, 182.5]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,m_{t}\mathrm{ [GeV/c^{2}]}
{\rm pull}(m_{t} ) = -0.8


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Fit Input for \,B_{k}
0.740 \pm 0.029
95% prob:[0.685, 0.794]
99% prob:[0.658, 0.821]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,B_{k}
0.751 \pm 0.026
95% prob:[0.699, 0.804]
99% prob:[0.675, 0.829]
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SM Fit prediction for \,B_{k}
0.813 \pm 0.065
95% prob:[0.686, 0.948]
99% prob:[0.633, 1.020] U [1.025, 1.035]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,B_{k}
{\rm pull}(B_{k}) = +0.9


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Fit Input for \,f_{B_{s}}
Gaussian likelihood used
0.2260 \pm 0.0050

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Full Fit result for \,f_{B_{s}}
0.2238 \pm 0.0041
95% prob:[0.2158, 0.2323]
99% prob:[0.2117, 0.2364]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,f_{B_{s}}
0.2204 \pm 0.0070
95% prob:[0.2062, 0.2343]
99% prob:[0.2006, 0.2427]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,f_{B_{s}}
{\rm pull}(f_{B_{s}}) = -0.7


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Fit Input for \,f_{B_{s}}/f_{B_{d}}
Gaussian likelihood used
1.203 \pm 0.013

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Full Fit result for \,f_{B_{s}}/f_{B_{d}}
1.202 \pm 0.011
95% prob:[1.180, 1.228]
99% prob:[1.168, 1.240]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,f_{B_{s}}/f_{B_{d}}
1.209 \pm 0.034
95% prob:[1.139, 1.277]
99% prob:[1.103, 1.318]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,f_{B_{s}}/f_{B_{d}}
{\rm pull}(f_{B_{s}}/f_{B_{d}}) = +0.1


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Fit Input for \,B_{B_{s}}/B_{B_{d}}
Gaussian likelihood used
1.032 \pm 0.036

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Full Fit result for \,B_{B_{s}}/B_{B_{d}}
1.042 \pm 0.029
95% prob:[0.984, 1.103]
99% prob:[0.953, 1.133]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,B_{B_{s}}/B_{B_{d}}
1.069 \pm 0.053
95% prob:[0.9610, 1.1779]
99% prob:[0.9100, 1.2370]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,B_{B_{s}}/B_{B_{d}}
{\rm pull}(B_{B_{s}}/B_{B_{d}}) = +0.5


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Fit Input for \,B_{B_{s}}
Gaussian likelihood used
0.888 \pm 0.053

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Full Fit result for \,B_{B_{s}}
0.866 \pm 0.035
95% prob:[0.798, 0.938]
99% prob:[0.766, 0.975]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,B_{B_{s}}
0.854 \pm 0.045
95% prob:[0.768, 0.947]
99% prob:[0.728, 1.002]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,B_{B_{s}}
{\rm pull}(B_{B_{s}}) = -0.6


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Fit Input for \,B_{k}
0.740 \pm 0.029
95% prob:[0.685, 0.794]
99% prob:[0.658, 0.821]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,B_{k}
0.751 \pm 0.026
95% prob:[0.699, 0.804]
99% prob:[0.675, 0.829]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,B_{k}
0.813 \pm 0.065
95% prob:[0.686, 0.948]
99% prob:[0.633, 1.020] U [1.025, 1.035]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,B_{k}
{\rm pull}(B_{k}) = +0.9


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Fit Input for \,|\epsilon_{k}|\cdot 10^{3}
Gaussian likelihood used
2.228 \pm 0.011

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Full Fit result for \,|\epsilon_{k}|\cdot 10^{3}
2.227 \pm 0.011
95% prob:[2.205, 2.249]
99% prob:[2.195, 2.261]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,|\epsilon_{k}|\cdot 10^{3}
2.03 \pm 0.18
95% prob:[1.68, 2.42]
99% prob:[1.54, 2.63]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,|\epsilon_{k}|\cdot 10^{3}
{\rm pull}(|\epsilon_{k}|\cdot 10^{3}) = -1.1


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Fit Input for \,\Delta m_{s} \mathrm{[ps^{-1}]}
Gaussian likelihood used
17.757 \pm 0.021

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Full Fit result for \,\Delta m_{s} \mathrm{[ps^{-1}]}
17.755 \pm 0.020
95% prob:[17.717, 17.797]
99% prob:[17.693, 17.819]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,\Delta m_{s} \mathrm{[ps^{-1}]}
17.69 \pm 0.93
95% prob:[15.86, 19.57]
99% prob:[15.03, 20.66]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,\Delta\Gamma_{d}/\Gamma_{d}
Gaussian likelihood used
-0.0020 \pm 0.0100

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Prediction for \,\Delta\Gamma_{d}/\Gamma_{d}
0.00497 \pm 0.00039
95% prob:[0.00420, 0.00580]
99% prob:[0.00390, 0.00628]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,\Delta\Gamma_{s}/\Gamma_{s}
Gaussian likelihood used
0.1240 \pm 0.0089

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Prediction for \,\Delta\Gamma_{s}/\Gamma_{s}
0.154 \pm 0.012
95% prob:[0.131, 0.179]
99% prob:[0.121, 0.193]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,A_{SL_{d}}
Gaussian likelihood used
0.00020 \pm 0.00200

EPS - PDF - PNG - JPG - GIF



Full Fit result for \,A_{SL_{d}}
-0.000290 \pm 0.000027
95% prob:[-0.000349, -0.000236]
99% prob:[-0.000377, -0.000213]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,A_{SL_{d}}
-0.000290 \pm 0.000027
95% prob:[-0.000349, -0.000236]
99% prob:[-0.000377, -0.000213]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,A_{SL_{d}}
{\rm pull}(A_{SL_{d}}) = -0.3


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Fit Input for \,A_{SL_{s}}
Gaussian likelihood used
0.0017 \pm 0.0030

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Full Fit result for \,A_{SL_{s}}
0.0000127 \pm 0.0000012
95% prob:[0.0000104, 0.0000152]
99% prob:[0.0000094, 0.0000163]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,A_{SL_{s}}
0.0000127 \pm 0.0000012
95% prob:[0.0000104, 0.0000152]
99% prob:[0.0000094, 0.0000163]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,A_{SL_{s}}
{\rm pull}(A_{SL_{s}}) = -0.6


EPS - PDF - PNG - JPG - GIF




Fit Input for \,B(B\rightarrow\tau\nu)\cdot 10^{4}
Gaussian likelihood used
1.06 \pm 0.20

EPS - PDF - PNG - JPG - GIF



Full Fit result for \,B(B\rightarrow\tau\nu)\cdot 10^{4}
0.828 \pm 0.060
95% prob:[0.711, 0.952]
99% prob:[0.661, 1.025]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,B(B\rightarrow\tau\nu)\cdot 10^{4}
0.807 \pm 0.061
95% prob:[0.688, 0.933]
99% prob:[0.641, 1.008]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,B(B\rightarrow\tau\nu)\cdot 10^{4}
{\rm pull}(B(B\rightarrow\tau\nu)\cdot 10^{4}) = -1.3


EPS - PDF - PNG - JPG - GIF

 
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