ResultsSummer2022hepfitSM < UTfit

Standard Model Fit (hepfit) results: Summer 2022

Parameter	Input value	Full fit	SM Prediction
$\bar{\rho}$			$0.1613 \pm 0.0092$
$\bar{\eta}$			$0.3469 \pm 0.0095$
$\rho$			$0.1653 \pm 0.0095$
$\eta$			$0.3559 \pm 0.0099$
			$0.828 \pm 0.010$
$\lambda$			$0.22514 \pm 0.00084$
$\|V_{ud}\|$	$0.97433 \pm 0.00019$		$0.97430 \pm 0.00020$
$\sin\theta_{12}$			$0.22514 \pm 0.00084$
$\sin\theta_{23}$			$0.04199 \pm 0.00045$
$\sin\theta_{13}$			$0.003713 \pm 0.000091$
$\delta [^{\circ}]$			$1.135 \pm 0.021$
$\|V_{ub}\|$	$0.00376 \pm 0.00024$	$0.003713 \pm 0.000091$	$0.003723 \pm 0.000098$
$\|V_{cb}\|$	$0.04125 \pm 0.00094$	$0.04200 \pm 0.00044$	$0.04207 \pm 0.00051$
$\alpha [^{\circ}]$	$94.9 \pm 4.7$	$92.4 \pm 1.3$	$92.1 \pm 1.5$
$\beta [^{\circ}]$		$22.47 \pm 0.65$	$22.54 \pm 0.66$
$\gamma [^{\circ}]$	$66.1 \pm 3.4$	$65.0 \pm 1.2$	$64.4 \pm 2.1$
$J_{cp}\cdot10^{5}$			$0.00003103 \pm 0.00000077$
$2\beta+\gamma [^{\circ}]$
$\sin(2\beta)$	$0.687 \pm 0.020$	$0.706 \pm 0.015$	$0.706 \pm 0.015$
$\cos(2\beta)$
$m_{c}\mathrm{ [GeV/c^{2}]}$	$1.2900 \pm 0.0070$
$m_{b}\mathrm{ [GeV/c^{2}]}$	$4.196 \pm 0.014$
$m_{t}\mathrm{ [GeV/c^{2}]}$
$f_{B_{s}}$	$0.2301 \pm 0.0011$	$0.2298 \pm 0.0011$	$0.2298 \pm 0.0011$
$f_{B_{s}}/f_{B_{d}}$	$1.2079 \pm 0.0050$	$1.2079 \pm 0.0050$	$1.218 \pm 0.025$
$B_{B_{s}}/B_{B_{d}}$	$1.014 \pm 0.021$	$1.020 \pm 0.018$	$1.044 \pm 0.039$
$B_{B_{s}}$	$0.888 \pm 0.040$	$0.845 \pm 0.018$	$0.852 \pm 0.027$
$B_{k}$	$0.552 \pm 0.012$	$0.557 \pm 0.011$	$0.615 \pm 0.041$
$\|\epsilon_{k}\|$	$0.002228 \pm 0.000011$	$0.002226 \pm 0.000010$	$0.002226 \pm 0.000010$
$\epsilon^{\prime}/\epsilon$	$0.00166 \pm 0.00033$	$0.00161 \pm 0.00027$	$0.00158 \pm 0.00045$
$\Delta m_{s} \mathrm{[ps^{-1}]}$	$17.741 \pm 0.020$	$17.739 \pm 0.020$	$17.96 \pm 0.66$
$\Delta m_{d} \mathrm{[ps^{-1}]}$	$0.5064 \pm 0.0019$	$0.5065 \pm 0.0018$	$0.520 \pm 0.022$
$B(B\rightarrow\tau\nu)$	$0.000106 \pm 0.000019$	$0.0000881 \pm 0.0000044$	$0.0000871 \pm 0.0000046$
$\bar {B}(B_{s}\rightarrow ll)\cdot10^{9}$	$0.0000000034 \pm 0.0000000003$	$0.0000000034 \pm 0.0000000001$	$0.0000000034 \pm 0.0000000001$

CKM matrix thus looks like $V_{CKM}=\left(\begin{array}{ccc} (0.97431 \pm 0.00018) & (0.22517 \pm 0.00080) & (0.003721 \pm 0.000098)e^{i(-1.135 \pm 0.022)^\circ}\\ ( -0.22502 \pm 0.00078)e^{i(-3.140980 \pm 0.000015)^\circ} & (0.97344 \pm 0.00018)e^{i(-0.00003268 \pm 0.00000081)^\circ} & (0.04207 \pm 0.00051) \\ (0.00858 \pm 0.00010)e^{i(-0.391 \pm 0.011)^\circ} & ( -0.04127 \pm 0.00043)e^{i(-3.12325 \pm 0.00050)^\circ} & (0.999110 \pm 0.000018)\end{array}\right)$

Full fit result for $\,\bar{\rho}$

$0.1613 \pm 0.0092$ 95% prob:[0.1429, 0.1797] 99% prob:[0.1343, 0.1885]
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Full fit result for $\,\bar{\eta}$

$0.3469 \pm 0.0095$ 95% prob:[0.3279, 0.3664] 99% prob:[0.3184, 0.3772]
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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 $\,\rho$

$0.1653 \pm 0.0095$ 95% prob:[0.1464, 0.1842] 99% prob:[0.1376, 0.1933]
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Full fit result for $\,\eta$

$0.3559 \pm 0.0099$ 95% prob:[0.3364, 0.3759] 99% prob:[0.3269, 0.3871]
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Full fit result for $\,A$

$0.828 \pm 0.010$ 95% prob:[0.807, 0.850] 99% prob:[0.795, 0.795] U [0.795, 0.861]
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Full fit result for $\,\lambda$

$0.22514 \pm 0.00084$ 95% prob:[0.22354, 0.22674] 99% prob:[0.22277, 0.22764]
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Fit Input for $\,\|V_{ud}\|$

$0.97433 \pm 0.00019$ 95% prob:0 99% prob:0
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Prediction for $\,\|V_{ud}\|$

$0.97430 \pm 0.00020$ 95% prob:[0.97393, 0.97467] 99% prob:[0.97374, 0.97485]
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Full fit result for $\,\sin\theta_{12}$

$0.22514 \pm 0.00084$ 95% prob:[0.22354, 0.22674] 99% prob:[0.22277, 0.22764]
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Full fit result for $\,\sin\theta_{23}$

$0.04199 \pm 0.00045$ 95% prob:[0.04111, 0.04290] 99% prob:[0.04067, 0.04333]
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Full fit result for $\,\sin\theta_{13}$

$0.003713 \pm 0.000091$ 95% prob:[0.003534, 0.003895] 99% prob:[0.003450, 0.003984]
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Full fit result for $\,\delta [^{\circ}]$

$1.135 \pm 0.021$ 95% prob:[1.092, 1.181] 99% prob:[1.070, 1.201]
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Fit Input for $\,\|V_{ub}\|$

Gaussian likelihood used $0.00376 \pm 0.00024$
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Full Fit result for $\,\|V_{ub}\|$

$0.003713 \pm 0.000091$ 95% prob:[0.003534, 0.003894] 99% prob:[0.003453, 0.003977]
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SM Fit prediction for $\,\|V_{ub}\|$

$0.003723 \pm 0.000098$ 95% prob:[0.003532, 0.003922] 99% prob:[0.003437, 0.004024]
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Compatibility Plot for $\,\|V_{ub}\|$

${\rm pull}(\|V_{ub}\|) = -0.2$
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Fit Input for $\,\|V_{cb}\|$

Gaussian likelihood used $0.04125 \pm 0.00094$
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Full Fit result for $\,\|V_{cb}\|$

$0.04200 \pm 0.00044$ 95% prob:[0.04112, 0.04290] 99% prob:[0.04069, 0.04332]
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SM Fit prediction for $\,\|V_{cb}\|$

$0.04207 \pm 0.00051$ 95% prob:[0.04106, 0.04311] 99% prob:[0.04059, 0.04360]
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Compatibility Plot for $\,\|V_{cb}\|$

${\rm pull}(\|V_{cb}\|) = +0.7$
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Fit Input for $\,\alpha [^{\circ}]$

Gaussian likelihood used $94.9 \pm 4.7$
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Full Fit result for $\,\alpha [^{\circ}]$

$92.4 \pm 1.3$ 95% prob:[89.7, 95.3] 99% prob:[88.3, 96.7]
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SM Fit prediction for $\,\alpha [^{\circ}]$

$92.1 \pm 1.5$ 95% prob:[89.1, 95.2] 99% prob:[87.7, 96.7]
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Compatibility Plot for $\,\alpha [^{\circ}]$

${\rm pull}(\alpha ) = -0.6$
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Full Fit result for $\,\beta [^{\circ}]$

$22.47 \pm 0.65$ 95% prob:[21.21, 23.79] 99% prob:[20.59, 24.43]
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SM Fit prediction for $\,\beta [^{\circ}]$

$22.54 \pm 0.66$ 95% prob:[21.23, 23.90] 99% prob:[20.60, 24.58]
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Fit Input for $\,\gamma [^{\circ}]$

Gaussian likelihood used $66.1 \pm 3.4$
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Full Fit result for $\,\gamma [^{\circ}]$

$65.0 \pm 1.2$ 95% prob:[62.5, 67.6] 99% prob:[61.2, 68.8]
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SM Fit prediction for $\,\gamma [^{\circ}]$

$64.4 \pm 2.1$ 95% prob:[60.0, 68.9] 99% prob:[57.6, 71.3]
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Compatibility Plot for $\,\gamma [^{\circ}]$

${\rm pull}(\gamma ) = -0.4$
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Full fit result for $\,J_{cp}\cdot10^{5}$

$0.00003103 \pm 0.00000077$ 95% prob:[0.00002949, 0.00003260] 99% prob:[0.00002879, 0.00003334]
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Full fit result for $\,2\beta+\gamma [^{\circ}]$

95% prob:0 99% prob:0
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Fit Input for $\,\sin(2\beta)$

Gaussian likelihood used $0.687 \pm 0.020$
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Full Fit result for $\,\sin(2\beta)$

$0.706 \pm 0.015$ 95% prob:[0.674, 0.738] 99% prob:[0.658, 0.753]
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SM Fit prediction for $\,\sin(2\beta)$

$0.706 \pm 0.015$ 95% prob:[0.674, 0.738] 99% prob:[0.658, 0.753]
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Compatibility Plot for $\,\sin(2\beta)$

${\rm pull}(sin(2\beta)) = +0.7$
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Full fit result for $\,\cos(2\beta)$

95% prob:0 99% prob:0
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Full fit result for $\,m_{t}\mathrm{ [GeV/c^{2}]}$

95% prob:0 99% prob:0
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Fit Input for $\,f_{B_{s}}$

Gaussian likelihood used $0.2301 \pm 0.0011$
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Full Fit result for $\,f_{B_{s}}$

$0.2298 \pm 0.0011$ 95% prob:[0.2275, 0.2321] 99% prob:[0.2264, 0.2331]
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SM Fit prediction for $\,f_{B_{s}}$

$0.2298 \pm 0.0011$ 95% prob:[0.2275, 0.2322] 99% prob:[0.2263, 0.2334]
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Compatibility Plot for $\,f_{B_{s}}$

${\rm pull}(f_{B_{s}}) = -0.2$
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Fit Input for $\,f_{B_{s}}/f_{B_{d}}$

Gaussian likelihood used $1.2079 \pm 0.0050$
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Full Fit result for $\,f_{B_{s}}/f_{B_{d}}$

$1.2079 \pm 0.0050$ 95% prob:[1.1986, 1.2180] 99% prob:[1.1938, 1.2228]
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SM Fit prediction for $\,f_{B_{s}}/f_{B_{d}}$

$1.218 \pm 0.025$ 95% prob:[1.169, 1.269] 99% prob:[1.143, 1.297]
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Compatibility Plot for $\,f_{B_{s}}/f_{B_{d}}$

${\rm pull}(f_{B_{s}}/f_{B_{d}}) = +0.4$
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Fit Input for $\,B_{B_{s}}/B_{B_{d}}$

Gaussian likelihood used $1.014 \pm 0.021$
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Full Fit result for $\,B_{B_{s}}/B_{B_{d}}$

$1.020 \pm 0.018$ 95% prob:[0.983, 1.057] 99% prob:[0.965, 1.075]
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SM Fit prediction for $\,B_{B_{s}}/B_{B_{d}}$

$1.044 \pm 0.039$ 95% prob:[0.965, 1.126] 99% prob:[0.926, 1.171]
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Compatibility Plot for $\,B_{B_{s}}/B_{B_{d}}$

${\rm pull}(B_{B_{s}}/B_{B_{d}}) = +0.6$
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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 $\,B_{B_{s}}$

$0.845 \pm 0.018$ 95% prob:[0.808, 0.883] 99% prob:[0.790, 0.901]
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SM Fit prediction for $\,B_{B_{s}}$

$0.852 \pm 0.027$ 95% prob:[0.797, 0.906] 99% prob:[0.771, 0.936]
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Compatibility Plot for $\,B_{B_{s}}$

${\rm pull}(B_{B_{s}}) = -0.8$
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Fit Input for $\,B_{k}$

$0.552 \pm 0.012$ 95% prob:0 99% prob:0
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Full Fit result for $\,B_{k}$

$0.557 \pm 0.011$ 95% prob:[0.534, 0.580] 99% prob:[0.524, 0.589] U [0.589, 0.590]
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SM Fit prediction for $\,B_{k}$

$0.615 \pm 0.041$ 95% prob:[0.533, 0.699] 99% prob:[0.499, 0.743]
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Compatibility Plot for $\,B_{k}$

${\rm pull}(B_{k}) = +1.4$
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Fit Input for $\,\|\epsilon_{k}\|$

$0.002228 \pm 0.000011$ 95% prob:0 99% prob:0
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Full Fit result for $\,\|\epsilon_{k}\|$

$0.002226 \pm 0.000010$ 95% prob:[0.002205, 0.002248] 99% prob:[0.002194, 0.002259]
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SM Fit prediction for $\,\|\epsilon_{k}\|$

$0.002226 \pm 0.000010$ 95% prob:[0.002205, 0.002248] 99% prob:[0.002193, 0.002259]
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Compatibility Plot for $\,\|\epsilon_{k}\|$

${\rm pull}(\|\epsilon_{k}\|) = -0.1$
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Fit Input for $\,\epsilon^{\prime}/\epsilon$

Gaussian likelihood used $0.00166 \pm 0.00033$
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Full Fit result for $\,\epsilon^{\prime}/\epsilon$

$0.00161 \pm 0.00027$ 95% prob:[0.00108, 0.00215] 99% prob:[0.00085, 0.00243]
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SM Fit prediction for $\,\epsilon^{\prime}/\epsilon$

$0.00158 \pm 0.00045$ 95% prob:[0.00072, 0.00250] 99% prob:[0.00044, 0.00304]
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Compatibility Plot for $\,\epsilon^{\prime}/\epsilon$

${\rm pull}(\epsilon^{\prime}/\epsilon) = -0.3$
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Fit Input for $\,\Delta m_{s} \mathrm{[ps^{-1}]}$

Gaussian likelihood used $17.741 \pm 0.020$
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Full Fit result for $\,\Delta m_{s} \mathrm{[ps^{-1}]}$

$17.739 \pm 0.020$ 95% prob:[17.702, 17.781] 99% prob:[17.681, 17.801]
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SM Fit prediction for $\,\Delta m_{s} \mathrm{[ps^{-1}]}$

$17.96 \pm 0.66$ 95% prob:[16.64, 19.34] 99% prob:[15.98, 20.12]
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Fit Input for $\,\Delta m_{d} \mathrm{[ps^{-1}]}$

$0.5064 \pm 0.0019$ 95% prob:0 99% prob:0
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Full Fit result for $\,\Delta m_{d} \mathrm{[ps^{-1}]}$

$0.5065 \pm 0.0018$ 95% prob:[0.5027, 0.5103] 99% prob:[0.5008, 0.5122]
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SM Fit prediction for $\,\Delta m_{d} \mathrm{[ps^{-1}]}$

$0.520 \pm 0.022$ 95% prob:[0.476, 0.566] 99% prob:[0.455, 0.589]
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Compatibility Plot for $\,\Delta m_{d} \mathrm{[ps^{-1}]}$

${\rm pull}(\Delta m_{d} ) = +0.5$
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Fit Input for $\,B(B\rightarrow\tau\nu)$

Gaussian likelihood used $0.000106 \pm 0.000019$
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Full Fit result for $\,B(B\rightarrow\tau\nu)$

$0.0000881 \pm 0.0000044$ 95% prob:[0.0000793, 0.0000971] 99% prob:[0.0000755, 0.0001019]
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SM Fit prediction for $\,B(B\rightarrow\tau\nu)$

$0.0000871 \pm 0.0000046$ 95% prob:[0.0000780, 0.0000965] 99% prob:[0.0000740, 0.0001014]
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Compatibility Plot for $\,B(B\rightarrow\tau\nu)$

| %${\rm pull}(B(B\rightarrow\tau u)) = -1.0$%

|

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Fit Input for $\,\bar {B}(B_{s}\rightarrow ll)\cdot10^{9}$

Gaussian likelihood used $0.0000000034 \pm 0.0000000003$
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Full Fit result for $\,\bar {B}(B_{s}\rightarrow ll)\cdot10^{9}$

$0.0000000034 \pm 0.0000000001$ 95% prob:[0.0000000032, 0.0000000036] 99% prob:[0.0000000031, 0.0000000037]
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SM Fit prediction for $\,\bar {B}(B_{s}\rightarrow ll)\cdot10^{9}$

$0.0000000034 \pm 0.0000000001$ 95% prob:[0.0000000031, 0.0000000036] 99% prob:[0.0000000030, 0.0000000037]
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Compatibility Plot for $\,\bar {B}(B_{s}\rightarrow ll)\cdot10^{9}$

${\rm pull}(\bar {B}(B_{s}\rightarrow ll)\cdot10^{9}) = +0.1$
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