ResultsSummer2022InclusiveSM < UTfit

Standard Model Fit results (Inclusive only): Summer 2022

Parameter	Input value	Full fit	SM Prediction
$\bar{\rho}$			$0.1636 \pm 0.0099$
$\bar{\eta}$			$0.347 \pm 0.011$
			$0.8361 \pm 0.0085$
$\lambda$	$0.22504 \pm 0.00079$		$0.22500 \pm 0.00080$
$\|V_{ub}\|$	$0.00431 \pm 0.00028$		$0.00370 \pm 0.00010$
$\|V_{cb}\|$	$0.04216 \pm 0.00050$		$0.04263 \pm 0.00051$
$B_{k}$	$0.756 \pm 0.016$	$0.759 \pm 0.015$	$0.831 \pm 0.054$
$\alpha [^{\circ}]$	$94.9 \pm 4.7 \text{ and } 165.6 \pm 1.3$	$92.5 \pm 1.3$	$92.2 \pm 1.4$
$\beta [^{\circ}]$		$22.57 \pm 0.65$	$24.5 \pm 1.1$
$\sin(2\beta)$	$0.687 \pm 0.020$	$0.708 \pm 0.015$	$0.752 \pm 0.027$
$\cos(2\beta)$	$0.88 \pm 0.11$	$0.704 \pm 0.016$	$0.655 \pm 0.031$
$2\beta+\gamma [^{\circ}]$	$-90 \pm 56 \text{ and } 94 \pm 52$
$\gamma [^{\circ}]$	$65.7 \pm 3.4$		$64.9 \pm 1.3$
$B(B\rightarrow\tau\nu) 10^{-4}$	$1.09 \pm 0.24$	$0.905 \pm 0.048$

CKM matrix thus looks like $V_{CKM}=\left(\begin{array}{ccc} (0.97433 \pm 0.00018) & (0.22506 \pm 0.00079) & (0.003697 \pm 0.000099)e^{i(-64.7 \pm 1.2)^\circ}\\ ( -0.22492 \pm 0.00077)e^{i(0.03581 \pm 0.00088)^\circ} & (0.97343 \pm 0.00018)e^{i(-0.001908 \pm 0.000047)^\circ} & (0.04263 \pm 0.00050) \\ (0.008640 \pm 0.000100)e^{i(-22.50 \pm 0.63)^\circ} & ( -0.04166 \pm 0.00034)e^{i(1.052 \pm 0.028)^\circ} & (0.999094 \pm 0.000015)\end{array}\right)$

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

$0.1636 \pm 0.0099$ 95% prob:[0.1446, 0.1827] 99% prob:[0.1376, 0.1902]
EPS - PDF - PNG - JPG - GIF

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

$0.347 \pm 0.011$ 95% prob:[0.326, 0.370] 99% prob:[0.315, 0.376]
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Full fit result for $\,\bar{\rho} - \bar{\eta}$


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Full fit result for $\,A$

$0.8361 \pm 0.0085$ 95% prob:[0.8186, 0.8554] 99% prob:[0.8086, 0.8644]
EPS - PDF - PNG - JPG - GIF

Fit Input for $\,\lambda$

$0.22504 \pm 0.00079$ 95% prob:[0.22346, 0.22673] 99% prob:[0.22267, 0.22752]
EPS - PDF - PNG - JPG - GIF

Prediction for $\,\lambda$

$0.22500 \pm 0.00080$ 95% prob:[0.22356, 0.22663] 99% prob:[0.22267, 0.22732]
EPS - PDF - PNG - JPG - GIF

Fit Input for $\,\|V_{ub}\|$

$0.00431 \pm 0.00028$ 95% prob:[0.00373, 0.00489] 99% prob:[0.00345, 0.00518]
EPS - PDF - PNG - JPG - GIF

Prediction for $\,\|V_{ub}\|$

$0.00370 \pm 0.00010$ 95% prob:[0.003503, 0.003899] 99% prob:[0.003410, 0.004004]
EPS - PDF - PNG - JPG - GIF

Fit Input for $\,\|V_{cb}\|$

Gaussian likelihood used $0.04216 \pm 0.00050$
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Prediction for $\,\|V_{cb}\|$

$0.04263 \pm 0.00051$ 95% prob:[0.04162, 0.04364] 99% prob:[0.04114, 0.04416]
EPS - PDF - PNG - JPG - GIF

Fit Input for $\,B_{k}$

$0.756 \pm 0.016$ 95% prob:[0.721, 0.783] 99% prob:[0.704, 0.798]
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Full Fit result for $\,B_{k}$

$0.759 \pm 0.015$ 95% prob:[0.730, 0.790] 99% prob:[0.715, 0.804]
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SM Fit prediction for $\,B_{k}$

$0.831 \pm 0.054$ 95% prob:[0.724, 0.939] 99% prob:[0.670, 0.994]
EPS - PDF - PNG - JPG - GIF

Compatibility Plot for $\,B_{k}$

${\rm pull}(B_{k}) = +1.3$
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Fit Input for $\,\alpha [^{\circ}]$

$94.9 \pm 4.7 \text{ and } 165.6 \pm 1.3$ 95% prob:[86.0, 104.3] U [161.9, 169.4] 99% prob:[81.2, 110.8] U [158.6, 159.5] U [159.9, 170.9]
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Full Fit result for $\,\alpha [^{\circ}]$

$92.5 \pm 1.3$ 95% prob:[90.0, 95.2] 99% prob:[88.5, 96.5]
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SM Fit prediction for $\,\alpha [^{\circ}]$

$92.2 \pm 1.4$ 95% prob:[89.4, 95.2] 99% prob:[88.0, 96.7]
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Compatibility Plot for $\,\alpha [^{\circ}]$

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

$22.57 \pm 0.65$ 95% prob:[21.31, 23.92] 99% prob:[20.68, 24.60]
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SM Fit prediction for $\,\beta [^{\circ}]$

$24.5 \pm 1.1$ 95% prob:[22.1, 26.9] 99% prob:[21.0, 28.2]
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Fit Input for $\,\sin(2\beta)$

$0.687 \pm 0.020$ 95% prob:[0.648, 0.728] 99% prob:[0.629, 0.749]
EPS - PDF - PNG - JPG - GIF

Full Fit result for $\,\sin(2\beta)$

$0.708 \pm 0.015$ 95% prob:[0.677, 0.741] 99% prob:[0.661, 0.757]
EPS - PDF - PNG - JPG - GIF

SM Fit prediction for $\,\sin(2\beta)$

$0.752 \pm 0.027$ 95% prob:[0.698, 0.808] 99% prob:[0.672, 0.835]
EPS - PDF - PNG - JPG - GIF

Compatibility Plot for $\,\sin(2\beta)$

${\rm pull}(sin(2\beta)) = +1.9$
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Fit Input for $\,\cos(2\beta)$

$0.88 \pm 0.11$ 95% prob:[0.54, 0.99] 99% prob:[0.31, 0.99]
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Full Fit result for $\,\cos(2\beta)$

$0.704 \pm 0.016$ 95% prob:[0.671, 0.736] 99% prob:[0.653, 0.750]
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SM Fit prediction for $\,\cos(2\beta)$

$0.655 \pm 0.031$ 95% prob:[0.590, 0.717] 99% prob:[0.552, 0.742]
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Compatibility Plot for $\,\cos(2\beta)$

${\rm pull}(cos(2\beta)) = -2.0$
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Fit Input for $\,\gamma [^{\circ}]$

$65.7 \pm 3.4$ 95% prob:[59.0, 72.7] 99% prob:[55.5, 75.7]
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Prediction for $\,\gamma [^{\circ}]$

$64.9 \pm 1.3$ 95% prob:[62.1, 67.6] 99% prob:[60.8, 69.0]
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Fit Input for $\,B(B\rightarrow\tau\nu) 10^{-4}$

Gaussian likelihood used $1.09 \pm 0.24$
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Full Fit result for $\,B(B\rightarrow\tau\nu) 10^{-4}$

$0.905 \pm 0.048$ 95% prob:[0.812, 1.004] 99% prob:[0.770, 1.059]
EPS - PDF - PNG - JPG - GIF

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