Standard Model Fit results: Summer 2018

Parameter Input value Full fit SM Prediction Pull
\bar{\rho} - 0.148 \pm 0.013 - -
\bar{\eta} - 0.348 \pm 0.010 - -
\rho - 0.152 \pm 0.014 - -
\eta - 0.357 \pm 0.010 - -
A - 0.826 \pm 0.012 - -
\lambda 0.22574 \pm 0.00089 0.22500 \pm 0.00100 - -0.6
J_{cp}\cdot10^{5} - 3.120 \pm 0.090 - -
\sin\theta_{12} - 0.22500 \pm 0.00100 - -
\sin\theta_{23} - 0.04200 \pm 0.00059 - -
\sin\theta_{13} - 0.003675 \pm 0.000095 - -
\delta [^{\circ}] - 66.9 \pm 2.0 - -
|V_{ub}| 0.00372 \pm 0.00023 0.003675 \pm 0.000095 0.00366 \pm 0.00011 -0.3
|V_{ub}|(excl) 0.00365 \pm 0.00013 - - 0.0
|V_{ub}|(incl) 0.00449 \pm 0.00020 - - -3.8
|V_{cb}| 0.0405 \pm 0.0011 0.04200 \pm 0.00059 0.04240 \pm 0.00070 +1.4
|V_{cb}|(excl) 0.03887 \pm 0.00059 - - +3.9
|V_{cb}|(incl) 0.04218 \pm 0.00077 - - +0.2
\alpha [^{\circ}] 93.3 \pm 5.6 \text{ and } 166.6 \pm 0.6 90.9 \pm 2.0 90.1 \pm 2.2 -0.6
\beta [^{\circ}] - 22.25 \pm 0.65 23.8 \pm 1.3 -
\gamma [^{\circ}] -109.9 \pm 4.2 \text{ and } 70.0 \pm 4.2 66.8 \pm 2.0 65.8 \pm 2.2 -0.9
2\beta+\gamma [^{\circ}] -90 \pm 56 \text{ and } 94 \pm 52 111.4 \pm 2.2 111.4 \pm 2.2 +0.3
\sin(2\beta) 0.689 \pm 0.018 0.699 \pm 0.016 0.738 \pm 0.033 +1.2
\cos(2\beta) 0.87 \pm 0.11 0.712 \pm 0.016 0.673 \pm 0.036 -1.6
\beta_{s} [^{\circ}] 0.60 \pm 0.88 - 1.060 \pm 0.030 +0.5
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}]} 165.25 \pm 0.52 165.50 \pm 0.50 163.0 \pm 8.0 -0.4
B_{k} 0.740 \pm 0.029 0.755 \pm 0.025 0.848 \pm 0.072 +1.3
f_{B_{s}} 0.2260 \pm 0.0050 0.2240 \pm 0.0040 0.2220 \pm 0.0060 -0.6
f_{B_{s}}/f_{B_{d}} 1.203 \pm 0.013 1.205 \pm 0.015 1.225 \pm 0.035 +0.6
B_{B_{s}}/B_{B_{d}} 1.032 \pm 0.038 1.050 \pm 0.030 1.100 \pm 0.050 +1.0
B_{B_{s}} 0.888 \pm 0.040 0.878 \pm 0.030 0.872 \pm 0.046 -0.4
B_{k} 0.740 \pm 0.029 0.755 \pm 0.025 0.848 \pm 0.072 +1.3
|\epsilon_{k}|\cdot 10^{3} 2.228 \pm 0.011 2.227 \pm 0.010 1.9650 \pm 0.1809 -1.4
\Delta m_{s} \mathrm{[ps^{-1}]} 17.757 \pm 0.021 17.750 \pm 0.050 17.25 \pm 0.85 -0.7
\Delta m_{d} \mathrm{[ps^{-1}]} 0.5064 \pm 0.0019 - - -
\Delta\Gamma_{d}/\Gamma_{d} -0.0020 \pm 0.0100 - 0.00497 \pm 0.00038 +0.6
\Delta\Gamma_{s}/\Gamma_{s} 0.1280 \pm 0.0089 - 0.153 \pm 0.011 +1.6
A_{SL_{d}} -0.0020 \pm 0.0017 -0.000292 \pm 0.000026 -0.000292 \pm 0.000026 +1.0
A_{SL_{s}} -0.00059 \pm 0.00280 0.0000131 \pm 0.0000011 0.0000131 \pm 0.0000011 +0.2
B(B\rightarrow\tau\nu)\cdot 10^{4} 1.09 \pm 0.24 0.826 \pm 0.055 0.812 \pm 0.054 -1.2

CKM matrix thus looks like V_{CKM}=\left(\begin{array}{ccc} (0.97431 \pm 0.00012) & (0.22514 \pm 0.00055) & (0.00365 \pm 0.00010)e^{i(-66.8 \pm 2.0)^\circ}\\ ( -0.22500 \pm 0.00054)e^{i(0.0351 \pm 0.0010)^\circ} & (0.97344 \pm 0.00012)e^{i(-0.001880 \pm 0.000052)^\circ} & (0.04241 \pm 0.00065) \\ (0.00869 \pm 0.00014)e^{i(-22.23 \pm 0.63)^\circ} & ( -0.04124 \pm 0.00056)e^{i(1.056 \pm 0.032)^\circ} & (0.999112 \pm 0.000024)\end{array}\right)




Full fit result for \,\bar{\rho}
0.148 \pm 0.013
95% prob:[0.121, 0.175]
99% prob:[0.108, 0.188]
EPS - PDF - PNG - JPG - GIF



Full fit result for \,\bar{\eta}
0.348 \pm 0.010
95% prob:[0.327, 0.370]
99% prob:[0.317, 0.381]
EPS - PDF - PNG - JPG - GIF




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



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Angles only result for \,\bar{\rho} - \bar{\eta}



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Sides only result for \,\bar{\rho} - \bar{\eta}



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Full fit result for \,\rho
0.152 \pm 0.014
95% prob:[0.124, 0.179]
99% prob:[0.111, 0.192]
EPS - PDF - PNG - JPG - GIF



Full fit result for \,\eta
0.357 \pm 0.010
95% prob:[0.336, 0.379]
99% prob:[0.325, 0.391]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,A
0.826 \pm 0.012
95% prob:[0.804, 0.852]
99% prob:[0.791, 0.865]
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Fit Input for \,\lambda
0.22574 \pm 0.00089
95% prob:[0.22386, 0.22762]
99% prob:[0.22118, 0.22871]
EPS - PDF - PNG - JPG - GIF



Prediction for \,\lambda
0.22500 \pm 0.00100
95% prob:[0.22405, 0.22623]
99% prob:[0.22356, 0.22683]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,\sin\theta_{12}
0.22500 \pm 0.00100
95% prob:[0.22405, 0.22623]
99% prob:[0.22356, 0.22683]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,\sin\theta_{23}
0.04200 \pm 0.00059
95% prob:[0.04083, 0.04313]
99% prob:[0.04025, 0.04372]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,\sin\theta_{13}
0.003675 \pm 0.000095
95% prob:[0.003486, 0.003870]
99% prob:[0.003392, 0.003977]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,\delta [^{\circ}]
66.9 \pm 2.0
95% prob:[62.9, 71.0]
99% prob:[61.0, 73.0]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,|V_{ub}|
Gaussian likelihood used
0.00372 \pm 0.00023

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Full Fit result for \,|V_{ub}|
0.003675 \pm 0.000095
95% prob:[0.003486, 0.003870]
99% prob:[0.003394, 0.003978]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,|V_{ub}|
0.00366 \pm 0.00011
95% prob:[0.00344, 0.00388]
99% prob:[0.00334, 0.00399]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,|V_{ub}|
{\rm pull}(|V_{ub}|) = -0.3

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Fit Input for \,|V_{ub}|_{\text{(excl)}}
Gaussian likelihood used
0.00365 \pm 0.00013

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Compatibility Plot for \,|V_{ub}|_{\text{(excl)}}
{\rm pull}(|V_{ub}|) = 0.0

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Fit Input for \,|V_{ub}|_{\text{(incl)}}
Gaussian likelihood used
0.00449 \pm 0.00020

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Compatibility Plot for \,|V_{ub}|_{\text{(incl)}}
{\rm pull}(|V_{ub}|) = -3.8

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Fit Input for \,|V_{cb}|
Gaussian likelihood used
0.0405 \pm 0.0011

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Full Fit result for \,|V_{cb}|
0.04200 \pm 0.00059
95% prob:[0.04083, 0.04313]
99% prob:[0.04025, 0.04372]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,|V_{cb}|
0.04240 \pm 0.00070
95% prob:[0.04109, 0.04374]
99% prob:[0.04045, 0.04444]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,|V_{cb}|
{\rm pull}(|V_{cb}|) = +1.4

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Fit Input for \,|V_{cb}|_{\text{(excl)}}
Gaussian likelihood used
0.03887 \pm 0.00059

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Compatibility Plot for \,|V_{cb}|_{\text{(excl)}}
{\rm pull}(|V_{cb}|) = +3.9

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Fit Input for \,|V_{cb}|_{\text{(incl)}}
Gaussian likelihood used
0.04218 \pm 0.00077

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Compatibility Plot for \,|V_{cb}|_{\text{(incl)}}
{\rm pull}(|V_{cb}|) = +0.2

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Fit Input for \,\alpha [^{\circ}]
93.3 \pm 5.6 \text{ and } 166.6 \pm 0.6
95% prob:[83.30, 103.10] U [163.00, 169.90]
99% prob:[78.59, 109.70] U [160.19, 171.60]
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Full Fit result for \,\alpha [^{\circ}]
90.9 \pm 2.0
95% prob:[86.7, 94.7]
99% prob:[84.5, 96.9]
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SM Fit prediction for \,\alpha [^{\circ}]
90.1 \pm 2.2
95% prob:[85.5, 94.7]
99% prob:[83.2, 97.0]
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Compatibility Plot for \,\alpha [^{\circ}]
{\rm pull}(\alpha ) = -0.6

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Full Fit result for \,\beta [^{\circ}]
22.25 \pm 0.65
95% prob:[20.96, 23.62]
99% prob:[20.32, 24.34]
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SM Fit prediction for \,\beta [^{\circ}]
23.8 \pm 1.3
95% prob:[21.1, 26.6] U [26.7, 26.7]
99% prob:[19.9, 28.3]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,\gamma [^{\circ}]
-109.9 \pm 4.2 \text{ and } 70.0 \pm 4.2
95% prob:[-118.3, -101.5] U [61.7, 78.5]
99% prob:[-122.5, -97.2] U [57.5, 82.5]
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Full Fit result for \,\gamma [^{\circ}]
66.8 \pm 2.0
95% prob:[62.9, 70.9]
99% prob:[60.9, 73.0]
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SM Fit prediction for \,\gamma [^{\circ}]
65.8 \pm 2.2
95% prob:[61.5, 70.5]
99% prob:[59.4, 72.9]
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Compatibility Plot for \,\gamma [^{\circ}]Sorted ascending
{\rm pull}(\gamma ) = -0.9

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Full fit result for \,J_{cp}\cdot10^{5}
3.120 \pm 0.090
95% prob:[2.939, 3.299]
99% prob:[2.853, 3.394]
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Fit Input for \,2\beta+\gamma [^{\circ}]
-90 \pm 56 \text{ and } 94 \pm 52
95% prob:[-166, 166]
99% prob:[-179, 179]
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Full Fit result for \,2\beta+\gamma [^{\circ}]
111.4 \pm 2.2
95% prob:[106.9, 116.0]
99% prob:[104.5, 118.4]
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SM Fit prediction for \,2\beta+\gamma [^{\circ}]
111.4 \pm 2.2
95% prob:[107.0, 116.2]
99% prob:[104.5, 118.5]
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)
0.689 \pm 0.018
95% prob:[0.652, 0.728]
99% prob:[0.633, 0.748]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,\sin(2\beta)
0.699 \pm 0.016
95% prob:[0.668, 0.734]
99% prob:[0.652, 0.751]
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SM Fit prediction for \,\sin(2\beta)
0.738 \pm 0.033
95% prob:[0.674, 0.805]
99% prob:[0.644, 0.838]
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Compatibility Plot for \,\sin(2\beta)
{\rm pull}(sin(2\beta)) = +1.2

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Fit Input for \,\cos(2\beta)
0.87 \pm 0.11
95% prob:[0.49, 0.99]
99% prob:[0.20, 0.99]
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Full Fit result for \,\cos(2\beta)
0.712 \pm 0.016
95% prob:[0.679, 0.744]
99% prob:[0.660, 0.759]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,\cos(2\beta)
0.673 \pm 0.036
95% prob:[0.597, 0.742]
99% prob:[0.549, 0.768]
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Compatibility Plot for \,\cos(2\beta)
{\rm pull}(cos(2\beta)) = -1.6

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Fit Input for \,\beta_{s} [^{\circ}]
0.60 \pm 0.88
95% prob:0
99% prob:0
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Prediction for \,\beta_{s} [^{\circ}]
1.060 \pm 0.030
95% prob:[0.995, 1.124]
99% prob:[0.965, 1.160]
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Fit Input for \,m_{t}\mathrm{ [GeV/c^{2}]}
Gaussian likelihood used
165.25 \pm 0.52

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Full Fit result for \,m_{t}\mathrm{ [GeV/c^{2}]}
165.50 \pm 0.50
95% prob:[164.20, 166.20]
99% prob:[163.69, 166.80]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,m_{t}\mathrm{ [GeV/c^{2}]}
163.0 \pm 8.0
95% prob:[147.0, 179.0]
99% prob:[140.1, 187.6]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,m_{t}\mathrm{ [GeV/c^{2}]}
{\rm pull}(m_{t} ) = -0.4

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Fit Input for \,B_{k}
0.740 \pm 0.029
95% prob:[0.691, 0.801]
99% prob:[0.665, 0.828]
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Full Fit result for \,B_{k}
0.755 \pm 0.025
95% prob:[0.705, 0.809]
99% prob:[0.679, 0.835]
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SM Fit prediction for \,B_{k}
0.848 \pm 0.072
95% prob:[0.708, 0.996]
99% prob:[0.653, 1.084]
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Compatibility Plot for \,B_{k}
{\rm pull}(B_{k}) = +1.3

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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}}
0.2240 \pm 0.0040
95% prob:[0.2165, 0.2323]
99% prob:[0.2128, 0.2362]
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SM Fit prediction for \,f_{B_{s}}
0.2220 \pm 0.0060
95% prob:[0.2104, 0.2344]
99% prob:[0.2049, 0.2411]
EPS - PDF - PNG - JPG - GIF



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

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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}}
1.205 \pm 0.015
95% prob:[1.182, 1.230]
99% prob:[1.170, 1.242]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,f_{B_{s}}/f_{B_{d}}
1.225 \pm 0.035
95% prob:[1.164, 1.300]
99% prob:[1.127, 1.342]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,f_{B_{s}}/f_{B_{d}}
{\rm pull}(f_{B_{s}}/f_{B_{d}}) = +0.6

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Fit Input for \,B_{B_{s}}/B_{B_{d}}
Gaussian likelihood used
1.032 \pm 0.038

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Full Fit result for \,B_{B_{s}}/B_{B_{d}}
1.050 \pm 0.030
95% prob:[0.995, 1.116]
99% prob:[0.966, 1.145]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,B_{B_{s}}/B_{B_{d}}
1.100 \pm 0.050
95% prob:[0.996, 1.212]
99% prob:[0.947, 1.270]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,B_{B_{s}}/B_{B_{d}}
{\rm pull}(B_{B_{s}}/B_{B_{d}}) = +1.0

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Fit Input for \,B_{B_{s}}
Gaussian likelihood used
0.888 \pm 0.040

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Full Fit result for \,B_{B_{s}}
0.878 \pm 0.030
95% prob:[0.818, 0.940]
99% prob:[0.791, 0.973]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,B_{B_{s}}
0.872 \pm 0.046
95% prob:[0.781, 0.966]
99% prob:[0.744, 1.020]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,B_{B_{s}}
{\rm pull}(B_{B_{s}}) = -0.4

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Fit Input for \,B_{k}
0.740 \pm 0.029
95% prob:[0.691, 0.801]
99% prob:[0.665, 0.828]
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Full Fit result for \,B_{k}
0.755 \pm 0.025
95% prob:[0.705, 0.809]
99% prob:[0.679, 0.835]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,B_{k}
0.848 \pm 0.072
95% prob:[0.708, 0.996]
99% prob:[0.653, 1.084]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,B_{k}
{\rm pull}(B_{k}) = +1.3

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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 0.010
95% prob:[2.206, 2.249]
99% prob:[2.195, 2.259]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,|\epsilon_{k}|\cdot 10^{3}
1.9650 \pm 0.1809
95% prob:[1.60, 2.34]
99% prob:[1.47, 2.57]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,|\epsilon_{k}|\cdot 10^{3}
{\rm pull}(|\epsilon_{k}|\cdot 10^{3}) = -1.4

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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}]}
17.750 \pm 0.050
95% prob:[17.717, 17.797]
99% prob:[17.696, 17.819]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,\Delta m_{s} \mathrm{[ps^{-1}]}
17.25 \pm 0.85
95% prob:[15.53, 19.02]
99% prob:[14.75, 19.96]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,\Delta\Gamma_{d}/\Gamma_{d}
-0.0020 \pm 0.0100
95% prob:0
99% prob:0
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Prediction for \,\Delta\Gamma_{d}/\Gamma_{d}
0.00497 \pm 0.00038
95% prob:[0.00421, 0.00577]
99% prob:[0.00392, 0.00624]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,\Delta\Gamma_{s}/\Gamma_{s}
0.1280 \pm 0.0089
95% prob:0
99% prob:0
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Prediction for \,\Delta\Gamma_{s}/\Gamma_{s}
0.153 \pm 0.011
95% prob:[0.131, 0.177]
99% prob:[0.122, 0.190] U [0.192, 0.193]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,A_{SL_{d}}
Gaussian likelihood used
-0.0020 \pm 0.0017

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Full Fit result for \,A_{SL_{d}}
-0.000292 \pm 0.000026
95% prob:[-0.000348, -0.000241]
99% prob:[-0.000376, -0.000216]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,A_{SL_{d}}
-0.000292 \pm 0.000026
95% prob:[-0.000348, -0.000241]
99% prob:[-0.000376, -0.000216]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,A_{SL_{d}}
{\rm pull}(A_{SL_{d}}) = +1.0

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Fit Input for \,A_{SL_{s}}
Gaussian likelihood used
-0.00059 \pm 0.00280

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Full Fit result for \,A_{SL_{s}}
0.0000131 \pm 0.0000011
95% prob:[0.0000107, 0.0000154]
99% prob:[0.0000097, 0.0000168]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,A_{SL_{s}}
0.0000131 \pm 0.0000011
95% prob:[0.0000107, 0.0000154]
99% prob:[0.0000097, 0.0000168]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,A_{SL_{s}}
{\rm pull}(A_{SL_{s}}) = +0.2

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Fit Input for \,B(B\rightarrow\tau\nu)\cdot 10^{4}
Gaussian likelihood used
1.09 \pm 0.24

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Full Fit result for \,B(B\rightarrow\tau\nu)\cdot 10^{4}
0.826 \pm 0.055
95% prob:[0.721, 0.937]
99% prob:[0.676, 1.002]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,B(B\rightarrow\tau\nu)\cdot 10^{4}
0.812 \pm 0.054
95% prob:[0.707, 0.925]
99% prob:[0.661, 0.989]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,B(B\rightarrow\tau\nu)\cdot 10^{4}
| %${\rm pull}(B(B\rightarrow\tau u)\cdot 10^{4}) = -1.2$%

|
EPS - PDF - PNG - JPG - GIF

 
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