ResultsSummer2018SM < UTfit

Standard Model Fit results: Summer 2018

Parameter	Input value	Full fit	SM Prediction
$\bar{\rho}$		$0.148 \pm 0.013$
$\bar{\eta}$		$0.348 \pm 0.010$
$\rho$		$0.152 \pm 0.014$
$\eta$		$0.357 \pm 0.010$
		$0.826 \pm 0.012$
$\lambda$	$0.22574 \pm 0.00089$	$0.22500 \pm 0.00100$
$J_{cp}\cdot10^{5}$		$3.120 \pm 0.090$
$\sin\theta_{12}$		$0.22500 \pm 0.00100$
$\sin\theta_{23}$		$0.04200 \pm 0.00059$
$\sin\theta_{13}$		$0.003675 \pm 0.000095$
$\delta [^{\circ}]$		$66.9 \pm 2.0$
$\|V_{ub}\|$	$0.00372 \pm 0.00023$	$0.003675 \pm 0.000095$	$0.00366 \pm 0.00011$
$\|V_{ub}\|$ (excl)	$0.00365 \pm 0.00013$
$\|V_{ub}\|$ (incl)	$0.00449 \pm 0.00020$
$\|V_{cb}\|$	$0.0405 \pm 0.0011$	$0.04200 \pm 0.00059$	$0.04240 \pm 0.00070$
$\|V_{cb}\|$ (excl)	$0.03887 \pm 0.00059$
$\|V_{cb}\|$ (incl)	$0.04218 \pm 0.00077$
$\alpha [^{\circ}]$	$93.3 \pm 5.6 \text{ and } 166.6 \pm 0.6$	$90.9 \pm 2.0$	$90.1 \pm 2.2$
$\beta [^{\circ}]$		$22.25 \pm 0.65$	$23.8 \pm 1.3$
$\gamma [^{\circ}]$	$-109.9 \pm 4.2 \text{ and } 70.0 \pm 4.2$	$66.8 \pm 2.0$	$65.8 \pm 2.2$
$2\beta+\gamma [^{\circ}]$	$-90 \pm 56 \text{ and } 94 \pm 52$	$111.4 \pm 2.2$	$111.4 \pm 2.2$
$\sin(2\beta)$	$0.689 \pm 0.018$	$0.699 \pm 0.016$	$0.738 \pm 0.033$
$\cos(2\beta)$	$0.87 \pm 0.11$	$0.712 \pm 0.016$	$0.673 \pm 0.036$
$\beta_{s} [^{\circ}]$	$0.60 \pm 0.88$		$1.060 \pm 0.030$
$m_{c}\mathrm{ [GeV/c^{2}]}$	$1.288 \pm 0.025$
$m_{b}\mathrm{ [GeV/c^{2}]}$	$4.176 \pm 0.026$
$m_{t}\mathrm{ [GeV/c^{2}]}$	$165.25 \pm 0.52$	$165.50 \pm 0.50$	$163.0 \pm 8.0$
$B_{k}$	$0.740 \pm 0.029$	$0.755 \pm 0.025$	$0.848 \pm 0.072$
$f_{B_{s}}$	$0.2260 \pm 0.0050$	$0.2240 \pm 0.0040$	$0.2220 \pm 0.0060$
$f_{B_{s}}/f_{B_{d}}$	$1.203 \pm 0.013$	$1.205 \pm 0.015$	$1.225 \pm 0.035$
$B_{B_{s}}/B_{B_{d}}$	$1.032 \pm 0.038$	$1.050 \pm 0.030$	$1.100 \pm 0.050$
$B_{B_{s}}$	$0.888 \pm 0.040$	$0.878 \pm 0.030$	$0.872 \pm 0.046$
$B_{k}$	$0.740 \pm 0.029$	$0.755 \pm 0.025$	$0.848 \pm 0.072$
$\|\epsilon_{k}\|\cdot 10^{3}$	$2.228 \pm 0.011$	$2.227 \pm 0.010$	$1.9650 \pm 0.1809$
$\Delta m_{s} \mathrm{[ps^{-1}]}$	$17.757 \pm 0.021$	$17.750 \pm 0.050$	$17.25 \pm 0.85$
$\Delta m_{d} \mathrm{[ps^{-1}]}$	$0.5064 \pm 0.0019$
$\Delta\Gamma_{d}/\Gamma_{d}$	$-0.0020 \pm 0.0100$		$0.00497 \pm 0.00038$
$\Delta\Gamma_{s}/\Gamma_{s}$	$0.1280 \pm 0.0089$		$0.153 \pm 0.011$
$A_{SL_{d}}$	$-0.0020 \pm 0.0017$	$-0.000292 \pm 0.000026$	$-0.000292 \pm 0.000026$
$A_{SL_{s}}$	$-0.00059 \pm 0.00280$	$0.0000131 \pm 0.0000011$	$0.0000131 \pm 0.0000011$
$B(B\rightarrow\tau\nu)\cdot 10^{4}$	$1.09 \pm 0.24$	$0.826 \pm 0.055$	$0.812 \pm 0.054$

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]
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Full fit result for $\,\bar{\eta}$

$0.348 \pm 0.010$ 95% prob:[0.327, 0.370] 99% prob:[0.317, 0.381]
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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]
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Full fit result for $\,\eta$

$0.357 \pm 0.010$ 95% prob:[0.336, 0.379] 99% prob:[0.325, 0.391]
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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]
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Prediction for $\,\lambda$

$0.22500 \pm 0.00100$ 95% prob:[0.22405, 0.22623] 99% prob:[0.22356, 0.22683]
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Full fit result for $\,\sin\theta_{12}$

$0.22500 \pm 0.00100$ 95% prob:[0.22405, 0.22623] 99% prob:[0.22356, 0.22683]
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Full fit result for $\,\sin\theta_{23}$

$0.04200 \pm 0.00059$ 95% prob:[0.04083, 0.04313] 99% prob:[0.04025, 0.04372]
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Full fit result for $\,\sin\theta_{13}$

$0.003675 \pm 0.000095$ 95% prob:[0.003486, 0.003870] 99% prob:[0.003392, 0.003977]
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Full fit result for $\,\delta [^{\circ}]$

$66.9 \pm 2.0$ 95% prob:[62.9, 71.0] 99% prob:[61.0, 73.0]
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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]
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SM Fit prediction for $\,\|V_{ub}\|$

$0.00366 \pm 0.00011$ 95% prob:[0.00344, 0.00388] 99% prob:[0.00334, 0.00399]
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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]
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SM Fit prediction for $\,\|V_{cb}\|$

$0.04240 \pm 0.00070$ 95% prob:[0.04109, 0.04374] 99% prob:[0.04045, 0.04444]
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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]
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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 $\,\gamma [^{\circ}]$

${\rm pull}(\gamma ) = -0.9$
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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]
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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]
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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]
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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]
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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]
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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]
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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]
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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]
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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]
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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]
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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]
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SM Fit prediction for $\,B_{B_{s}}$

$0.872 \pm 0.046$ 95% prob:[0.781, 0.966] 99% prob:[0.744, 1.020]
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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]
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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 $\,\|\epsilon_{k}\|\cdot 10^{3}$

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]
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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]
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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]
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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]
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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]
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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]
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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]
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SM Fit prediction for $\,A_{SL_{d}}$

$-0.000292 \pm 0.000026$ 95% prob:[-0.000348, -0.000241] 99% prob:[-0.000376, -0.000216]
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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]
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SM Fit prediction for $\,A_{SL_{s}}$

$0.0000131 \pm 0.0000011$ 95% prob:[0.0000107, 0.0000154] 99% prob:[0.0000097, 0.0000168]
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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]
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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]
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Compatibility Plot for $\,B(B\rightarrow\tau\nu)\cdot 10^{4}$

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

|

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