Standard Model Fit results: Summer 2014

Parameter Input value Full fit SM Prediction
\bar{\rho} - 0.132 \pm 0.023 -
\bar{\eta} - 0.352 \pm 0.014 -
\rho - 0.136 \pm 0.024 -
\eta - 0.361 \pm 0.014 -
A - 0.821 \pm 0.012 -
\lambda 0.2253 \pm 0.0009 0.22534 \pm 0.00065 -
|V_{ub}| 0.00375 \pm 0.00046 0.00363 \pm 0.00012 0.00362 \pm 0.00013
|V_{cb}| 0.0409 \pm 0.001 0.0417 \pm 0.00056 0.04204 \pm 0.00068
\sin\theta_{12} - 0.22523 \pm 0.00065 -
\sin\theta_{23} - 0.0417 \pm 0.00057 -
\sin\theta_{13} - 0.00363 \pm 0.00012 -
\delta [^{\circ}] - 69.4 \pm 3.4 -
m_{b}\mathrm{ [GeV/c^{2}]} 4.18 \pm 0.03 - -
m_{c}\mathrm{ [GeV/c^{2}]} 1.3 \pm 0.03 - -
\Delta m_{s} \mathrm{[ps^{-1}]} 17.761 \pm 0.022 17.755 \pm 0.022 17.5 \pm 1.1
m_{t}\mathrm{ [GeV/c^{2}]} 164.1 \pm 0.7 163.9 \pm 0.7 161.9 \pm 7.3
\Delta m_{d} \mathrm{[ps^{-1}]} 0.51 \pm 0.003 - -
\Delta m_{K} \mathrm{[ps^{-1}]} 1.8 \pm 1.8 - -
f_{B_{s}} 0.2277 \pm 0.0045 0.2274 \pm 0.0037 0.2275 \pm 0.0065
f_{B_{s}}/f_{B_{d}} 1.202 \pm 0.022 1.198 \pm 0.02 1.184 \pm 0.061
B_{B_{s}}/B_{B_{d}} 1.06 \pm 0.11 1.1 \pm 0.062 1.122 \pm 0.076
B_{B_{s}} 0.875 \pm 0.04 0.876 \pm 0.029 0.882 \pm 0.044
B_{k} 0.766 \pm 0.01 0.7667 \pm 0.0099 0.839 \pm 0.077
\alpha [^{\circ}] 90.7 \pm 7.0 88.6 \pm 3.3 87.2 \pm 3.9
\beta [^{\circ}] - 22.03 \pm 0.86 24.5 \pm 1.8
\sin(2\beta) 0.68 \pm 0.024 0.695 \pm 0.022 0.754 \pm 0.042
\cos(2\beta) 0.78 \pm 0.16 0.717 \pm 0.021 0.653 \pm 0.049
2\beta+\gamma [^{\circ}] -90 \pm 54 \text{ and } 90 \pm 54 113.6 \pm 3.4 113.9 \pm 3.4
\gamma [^{\circ}] -111.5 \pm 7.5 \text{ and } 68.4 \pm 7.5 69.2 \pm 3.4 69.5 \pm 3.9
|\epsilon_{k}| - 2.227 \pm 0.011 -
B(B\rightarrow\tau\nu) 10^{-4} 1.14 \pm 0.22 0.84 \pm 0.071 0.81 \pm 0.07
J_{cp} 10^{-5} - 3.109 \pm 0.086 -
\bar {B}(B_{s}\rightarrow ll), 10^{-9} 2.9 \pm 0.7 3.86 \pm 0.15 3.91 \pm 0.16
B(B_{d}\rightarrow ll), 10^{-9} 0.37 \pm 0.15 0.1136 \pm 0.0068 0.1137 \pm 0.0068
\Delta\Gamma_{d}/\Gamma_{d} - 0.00516 \pm 0.00036 -
\Delta\Gamma_{s}/\Gamma_{s} - 0.153 \pm 0.012 -
\beta_{s} [^{\circ}] - 1.071 \pm 0.041 -

The fit results for all the nine CKM elements are V_{CKM}=\left(\begin{array}{ccc} (0.97426 \pm 0.00015) & (0.22529 \pm 0.00061) & (0.00363 \pm 0.00012)e^{i(-69.3 \pm 3.3)^\circ}\\ ( -0.22518 \pm 0.00066)e^{i(0.03509 \pm 0.00098)^\circ} & (0.97341 \pm 0.00015)e^{i(-0.00187 \pm 0.00005)^\circ} & (0.0417 \pm 0.00056) \\ (0.0088 \pm 0.00018)e^{i(-22.0 \pm 0.8)^\circ} & ( -0.04092 \pm 0.00055)e^{i(1.069 \pm 0.042)^\circ} & (0.999119 \pm 0.000021)\end{array}\right)




Full fit result for \,\bar{\rho}
0.132 \pm 0.023
95% prob:[0.087, 0.177]
99% prob:[0.066, 0.200]
EPS - PDF - PNG - JPG - GIF



Full fit result for \,\bar{\eta}
0.352 \pm 0.014
95% prob:[0.325, 0.379]
99% prob:[0.313, 0.394]
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Full SM fit for \,\bar{\rho}-\bar{\eta}
\bar\rho=0.132 \pm 0.023
\bar\eta=0.351 \pm 0.013
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Angles only for \,\bar{\rho}-\bar{\eta}
\bar\rho=0.139 \pm 0.029
\bar\eta=0.337 \pm 0.016
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Angles and \epsilon_K for \,\bar{\rho}-\bar{\eta}
\bar\rho=0.126 \pm 0.026
\bar\eta=0.347 \pm 0.015
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Sides for \,\bar{\rho}-\bar{\eta}
\bar\rho=0.151 \pm 0.049
\bar\eta=0.354 \pm 0.051
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Sides and \epsilon_K for \,\bar{\rho}-\bar{\eta}
\bar\rho=0.144 \pm 0.046
\bar\eta=0.374 \pm 0.029
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Full fit result for \,\rho
0.136 \pm 0.024
95% prob:[0.089, 0.182]
99% prob:[0.067, 0.205]
EPS - PDF - PNG - JPG - GIF



Full fit result for \,\eta
0.361 \pm 0.014
95% prob:[0.333, 0.389]
99% prob:[0.321, 0.404]
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Full fit result for \,A
0.821 \pm 0.012
95% prob:[0.798, 0.846]
99% prob:[0.786, 0.858]
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Fit Input for \,\lambda
0.22519 \pm 0.00099
95% prob:[0.2235, 0.2271]
99% prob:[0.2226, 0.228]
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Full Fit result for \,\lambda
0.22534 \pm 0.00065
95% prob:[0.2241, 0.2266]
99% prob:[0.2235, 0.2273]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,|V_{ub}|
Gaussian likelihood used
0.00375 \pm 0.00046

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Full Fit result for \,|V_{ub}|
0.00363 \pm 0.00012
95% prob:[0.00339, 0.00388]
99% prob:[0.00328, 0.00402]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,|V_{ub}|
0.00362 \pm 0.00013
95% prob:[0.00337466, 0.00387953]
99% prob:[0.00327168, 0.00402949]
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Compatibility Plot for \,|V_{ub}|



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Fit Input for \,|V_{cb}|
Gaussian likelihood used
0.0409 \pm 0.001

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Full Fit result for \,|V_{cb}|
0.0417 \pm 0.00056
95% prob:[0.04062, 0.04285]
99% prob:[0.04007, 0.0434]
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SM Fit prediction for \,|V_{cb}|
0.04204 \pm 0.00068
95% prob:[0.04074, 0.04342]
99% prob:[0.04012, 0.04412]
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Compatibility Plot for \,|V_{cb}|



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Full fit result for \,\sin\theta_{12}
0.22523 \pm 0.00065
95% prob:[0.22415, 0.22663]
99% prob:[0.22346, 0.22722]
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Full fit result for \,\sin\theta_{23}
0.0417 \pm 0.00057
95% prob:[0.04060, 0.04285]
99% prob:[0.04006, 0.04340]
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Full fit result for \,\sin\theta_{13}
0.00363 \pm 0.00012
95% prob:[0.00339, 0.00388]
99% prob:[0.00328, 0.00402]
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Full fit result for \,\delta [^{\circ}]
69.4 \pm 3.4
95% prob:[62.7, 76.1]
99% prob:[59.7, 79.1]
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Fit Input for \,\Delta m_{s} \mathrm{[ps^{-1}]}
Gaussian likelihood used
17.761 \pm 0.022

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Full Fit result for \,\Delta m_{s} \mathrm{[ps^{-1}]}
17.755 \pm 0.022
95% prob:[17.71, 17.80]
99% prob:[17.69, 17.82]
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SM Fit prediction for \,\Delta m_{s} \mathrm{[ps^{-1}]}
17.5 \pm 1.1
95% prob:[15.3, 19.8]
99% prob:[14.3, 21.0]
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Fit Input for \,m_{t}\mathrm{ [GeV/c^{2}]}
Gaussian likelihood used
164.1 \pm 0.7

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Full Fit result for \,m_{t}\mathrm{ [GeV/c^{2}]}
163.92 \pm 0.7
95% prob:[162., 165.]
99% prob:[162, 166.]
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SM Fit prediction for \,m_{t}\mathrm{ [GeV/c^{2}]}Sorted ascending
161.9 \pm 7.3
95% prob:[148.1, 177]
99% prob:[142.1, 183.9]
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Compatibility Plot for \,m_{t}\mathrm{ [GeV/c^{2}]}



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Fit Input for \,f_{B_{s}}
Gaussian likelihood used
0.2277 \pm 0.0045

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Full Fit result for \,f_{B_{s}}
0.2274 \pm 0.0037
95% prob:[0.2202, 0.2349]
99% prob:[0.2168, 0.2387]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,f_{B_{s}}
0.2275 \pm 0.0065
95% prob:[0.2151, 0.2407]
99% prob:[0.2082, 0.2462]
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Compatibility Plot for \,f_{B_{s}}



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Fit Input for \,f_{B_{s}}/f_{B_{d}}
Gaussian likelihood used
1.202 \pm 0.022

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Full Fit result for \,f_{B_{s}}/f_{B_{d}}
1.198 \pm 0.02
95% prob:[1.158, 1.241]
99% prob:[1.136, 1.261]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,f_{B_{s}}/f_{B_{d}}
1.184 \pm 0.061
95% prob:[1.071, 1.314]
99% prob:[1.023, 1.393]
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Compatibility Plot for \,f_{B_{s}}/f_{B_{d}}



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Fit Input for \,B_{B_{s}}/B_{B_{d}}
Gaussian likelihood used
1.06 \pm 0.11

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Full Fit result for \,B_{B_{s}}/B_{B_{d}}
1.1 \pm 0.062
95% prob:[0.98, 1.225]
99% prob:[0.927, 1.282] U [1.283, 1.286]
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SM Fit prediction for \,B_{B_{s}}/B_{B_{d}}
1.122 \pm 0.076
95% prob:[0.971, 1.274]
99% prob:[0.911, 1.358] U [1.361, 1.365]
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Compatibility Plot for \,B_{B_{s}}/B_{B_{d}}



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Fit Input for \,B_{B_{s}}
Gaussian likelihood used
0.875 \pm 0.04

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Full Fit result for \,B_{B_{s}}
0.876 \pm 0.029
95% prob:[0.818, 0.936]
99% prob:[0.791, 0.967]
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SM Fit prediction for \,B_{B_{s}}
0.882 \pm 0.044
95% prob:[0.799, 0.97]
99% prob:[0.76, 1.023]
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Compatibility Plot for \,B_{B_{s}}



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Fit Input for \,B_{k}
0.766 \pm 0.01
95% prob:[0.746, 0.787]
99% prob:[0.74, 0.794]
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Full Fit result for \,B_{k}
0.7667 \pm 0.0099
95% prob:[0.747, 0.787]
99% prob:[0.738, 0.797]
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SM Fit prediction for \,B_{k}
0.839 \pm 0.077
95% prob:[0.691, 0.996]
99% prob:[0.632, 1.092]
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Compatibility Plot for \,B_{k}



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Fit Input for \,\alpha [^{\circ}]
90.7 \pm 7.0
95% prob:[78.6, 103.] U [161., 169.]
99% prob:[72.9, 110.] U [157., 171.] U [179., 180]
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Full Fit result for \,\alpha [^{\circ}]
88.6 \pm 3.3
95% prob:[82, 94.9]
99% prob:[78.7, 98.1]
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SM Fit prediction for \,\alpha [^{\circ}]
87.2 \pm 3.9
95% prob:[79.5, 95.3]
99% prob:[75.6, 99.1]
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Compatibility Plot for \,\alpha [^{\circ}]



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Full Fit result for \,\beta [^{\circ}]
22.03 \pm 0.86
95% prob:[20.4, 23.8]
99% prob:[19.6, 24.8]
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SM Fit prediction for \,\beta [^{\circ}]
24.5 \pm 1.8
95% prob:[20.9, 28.2]
99% prob:[19.2, 30.3]
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Fit Input for \,\sin(2\beta)
0.68 \pm 0.024
95% prob:[0.635, 0.729]
99% prob:[0.613, 0.755]
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Full Fit result for \,\sin(2\beta)
0.695 \pm 0.022
95% prob:[0.655, 0.74]
99% prob:[0.635, 0.762]
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SM Fit prediction for \,\sin(2\beta)
0.754 \pm 0.042
95% prob:[0.67, 0.837]
99% prob:[0.627, 0.874]
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Compatibility Plot for \,\sin(2\beta)



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Fit Input for \,\cos(2\beta)
0.78 \pm 0.16
95% prob:[0.44, 0.99]
99% prob:[0.12, 0.99]
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Full Fit result for \,\cos(2\beta)
0.717 \pm 0.021
95% prob:[0.673, 0.757]
99% prob:[0.648, 0.773]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,\cos(2\beta)
0.653 \pm 0.049
95% prob:[0.554, 0.747]
99% prob:[0.494, 0.783]
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Compatibility Plot for \,\cos(2\beta)



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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}]
113.6 \pm 3.4
95% prob:[106.9, 120.2]
99% prob:[103.5, 123.5]
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SM Fit prediction for \,2\beta+\gamma [^{\circ}]
113.9 \pm 3.4
95% prob:[107.1, 120.4]
99% prob:[103.7, 123.6]
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Compatibility Plot for \,2\beta+\gamma [^{\circ}]



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Fit Input for \,\gamma [^{\circ}]
-111.7 \pm 7.5 \text{ and } 68.3 \pm 7.5
95% prob:[-126, -97] U [53, 83]
99% prob:[-134, -89.] U [46, 91]
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Full Fit result for \,\gamma [^{\circ}]
69.2 \pm 3.4
95% prob:[62.7, 76.1]
99% prob:[59.5, 79.6]
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SM Fit prediction for \,\gamma [^{\circ}]
69.5 \pm 3.9
95% prob:[62.5, 77.4]
99% prob:[59, 81.5]
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Compatibility Plot for \,\gamma [^{\circ}]



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Full fit result for \,|\epsilon_{k}|
2.227 \pm 0.011
95% prob:[2.206, 2.25]
99% prob:[2.194, 2.26]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,B(B\rightarrow\tau\nu) 10^{-4}
Gaussian likelihood used
1.14 \pm 0.22

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Full Fit result for \,B(B\rightarrow\tau\nu) 10^{-4}
0.84 \pm 0.071
95% prob:[0.705, 0.985]
99% prob:[0.649, 1.069]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,B(B\rightarrow\tau\nu) 10^{-4}
0.81 \pm 0.07
95% prob:[0.677, 0.953]
99% prob:[0.625, 1.044]
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Compatibility Plot for \,B(B\rightarrow\tau\nu) 10^{-4}



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Full fit result for \,J_{cp} 10^{-5}
3.109 \pm 0.086
95% prob:[2.94, 3.286]
99% prob:[2.862, 3.38]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,\bar {B}(B_{s}\rightarrow ll), 10^{-9}
2.9 \pm 0.7
95% prob:0
99% prob:0
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Full Fit result for \,\bar {B}(B_{s}\rightarrow ll), 10^{-9}
3.86 \pm 0.15
95% prob:[3.57, 4.16]
99% prob:[3.45, 4.33]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,\bar {B}(B_{s}\rightarrow ll), 10^{-9}
3.91 \pm 0.16
95% prob:[3.60, 4.22]
99% prob:[3.47, 4.39] U [4.41, 4.42]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,\bar {B}(B_{s}\rightarrow ll), 10^{-9}



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Fit Input for \,B(B_{d}\rightarrow ll), 10^{-9}
0.37 \pm 0.15
95% prob:0
99% prob:0
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Full Fit result for \,B(B_{d}\rightarrow ll), 10^{-9}
0.1136 \pm 0.0068
95% prob:[0.1001, 0.1272]
99% prob:[0.094, 0.1348]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,B(B_{d}\rightarrow ll), 10^{-9}
0.1137 \pm 0.0068
95% prob:[0.1002, 0.1276]
99% prob:[0.0941, 0.1352]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,B(B_{d}\rightarrow ll), 10^{-9}



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Full fit result for \,\Delta\Gamma_{d}/\Gamma_{d}
0.00516 \pm 0.00036
95% prob:[0.00446, 0.00592]
99% prob:[0.00417, 0.00636]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,\Delta\Gamma_{s}/\Gamma_{s}
0.153 \pm 0.012
95% prob:[0.129, 0.178]
99% prob:[0.119, 0.194]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,\beta_{s} [^{\circ}]
1.071 \pm 0.041
95% prob:[0.99, 1.155]
99% prob:[0.955, 1.202]
EPS - PDF - PNG - JPG - GIF

 
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