ResultsSummer2015PreEPSSMCopyInclExcl < UTfit

Standard Model Fit results: Summer 2015

Inclusive

Parameter	Input value	Full fit	SM Prediction
$\bar{\rho}$		$0.166 \pm 0.018$
$\bar{\eta}$		$0.355 \pm 0.014$
		$0.8335 \pm 0.0096$
$\lambda$	$0.2252 \pm 0.00099$	$0.22505 \pm 0.00075$
$\|V_{ub}\|$	$0.00441 \pm 0.00022$	$0.00385 \pm 0.00011$
$\|V_{cb}\|$	$0.0422 \pm 0.0007$	$0.04228 \pm 0.00045$
$B_{k}$	$0.766 \pm 0.01$	$0.763 \pm 0.01$	$0.735 \pm 0.052$
$\alpha [^{\circ}]$	$92.7 \pm 6.2$	$92.0 \pm 2.5$	$91.4 \pm 3.2$
$\beta [^{\circ}]$		$23.17 \pm 0.78$	$25.7 \pm 1.3$
$\sin(2\beta)$	$0.68 \pm 0.024$	$0.722 \pm 0.02$	$0.782 \pm 0.028$
$\cos(2\beta)$	$0.78 \pm 0.16$	$0.69 \pm 0.02$	$0.621 \pm 0.035$
$2\beta+\gamma [^{\circ}]$	$-90 \pm 54 \text{ and } 90 \pm 54$	$111.2 \pm 2.6$
$\gamma [^{\circ}]$	$-108.6 \pm 6.5 \text{ and } 71.4 \pm 6.5$	$64.8 \pm 2.5$
$B(B\rightarrow\tau\nu) 10^{-4}$	$1.06 \pm 0.2$	$0.911 \pm 0.069$	$0.894 \pm 0.069$
$B(B_{s}\rightarrow ll), 10^{-9}$		$3.58 \pm 0.13$
$B(B_{d}\rightarrow ll), 10^{-9}$		$0.1059 \pm 0.0058$

The fit results for all the nine CKM elements are $V_{CKM}=\left(\begin{array}{ccc} (0.97429 \pm 0.00015) & (0.22505 \pm 0.00064) & (0.00385 \pm 0.00011)e^{i(-67.55 \pm 0.22 \text{ and } -64.88 \pm 2.0 \text{ and } -62.22 \pm 0.22)^\circ}\\ ( -0.22497 \pm 0.00064)e^{i(0.03654 \pm 0.00089)^\circ} & (0.97339 \pm 0.00015)e^{i(-0.00194444 \pm 0.0004)^\circ} & (0.04228 \pm 0.00045) \\ (0.00863 \pm 0.00016)e^{i(-23.13 \pm 0.73)^\circ} & ( -0.04157 \pm 0.00045)e^{i(1.079 \pm 0.035)^\circ} & (0.999093 \pm 0.00002)\end{array}\right)$

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

$0.166 \pm 0.018$ 95% prob:[0.129, 0.203] 99% prob:[0.107, 0.223]
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Full fit result for $\,\bar{\eta}$

$0.355 \pm 0.014$ 95% prob:[0.328, 0.383] 99% prob:[0.315, 0.397]
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Full fit result for $\,\bar{\rho} - \bar{\eta}$


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Full fit result for $\,A$

$0.8335 \pm 0.0096$ 95% prob:[0.814, 0.856] 99% prob:[0.803, 0.867]
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Fit Input for $\,\lambda$

$0.2252 \pm 0.00099$ 95% prob:[0.2235, 0.2271] 99% prob:[0.2226, 0.228]
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Full Fit result for $\,\lambda$

$0.22505 \pm 0.00075$ 95% prob:[0.2239, 0.2265] 99% prob:[0.2233, 0.2271]
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Fit Input for $\,\|V_{ub}\|$

$0.00392 \pm 0.00034$ 95% prob:[0.00396, 0.00484] 99% prob:[0.00375, 0.00506]
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Full Fit result for $\,\|V_{ub}\|$

$0.00385 \pm 0.00011$ 95% prob:[0.00356, 0.00357] U [0.00363, 0.00408] 99% prob:[0.00354, 0.00418]
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Fit Input for $\,\|V_{cb}\|$

Gaussian likelihood used $0.0407 \pm 0.0015$
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too many splits for range

Full Fit result for $\,\|V_{cb}\|$

$0.04228 \pm 0.00045$ 95% prob:[0.04137, 0.04323] 99% prob:[0.04089, 0.04095] U [0.04096, 0.04357] U [0.0436, 0.04373]
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Fit Input for $\,B_{k}$

$0.766 \pm 0.01$ 95% prob:[0.744, 0.786] 99% prob:[0.736, 0.794]
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Full Fit result for $\,B_{k}$

$0.763 \pm 0.01$ 95% prob:[0.745, 0.784] 99% prob:[0.736, 0.795]
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SM Fit prediction for $\,B_{k}$

$0.735 \pm 0.052$ 95% prob:[0.634, 0.845] 99% prob:[0.6, 0.895] U [0.901, 0.906]
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Compatibility Plot for $\,B_{k}$


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Fit Input for $\,\alpha [^{\circ}]$

$92.7 \pm 6.2 \text{ and } 167.3 \pm 0.1$ 95% prob:[83.5, 102.9] U [161.2, 169.8] 99% prob:[78.9, 108.2] U [157.9, 171.5] U [179.5, 180]
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Full Fit result for $\,\alpha [^{\circ}]$

$92.0 \pm 2.5$ 95% prob:[86.4, 96.6] U [96.9, 97] 99% prob:[84.1, 99.4]
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SM Fit prediction for $\,\alpha [^{\circ}]$

$91.4 \pm 3.2$ 95% prob:[84.6, 85] U [85.2, 97.8] 99% prob:[81.1, 100.] U [100., 101.]
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Compatibility Plot for $\,\alpha [^{\circ}]$


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Full Fit result for $\,\beta [^{\circ}]$

$23.17 \pm 0.78$ 95% prob:[21.2, 21.2] U [21.4, 21.5] U [21.6, 24.8] 99% prob:[21.0, 25.5]
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SM Fit prediction for $\,\beta [^{\circ}]$

$25.7 \pm 1.3$ 95% prob:[23.24, 28.4] 99% prob:[22.11, 29.72]
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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 $\,\sin(2\beta)$

$0.722 \pm 0.02$ 95% prob:[0.683, 0.762] 99% prob:[0.669, 0.778]
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SM Fit prediction for $\,\sin(2\beta)$

$0.782 \pm 0.028$ 95% prob:[0.726, 0.837] 99% prob:[0.698, 0.862]
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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 $\,\cos(2\beta)$

$0.69 \pm 0.02$ 95% prob:[0.6498, 0.7325] 99% prob:[0.6288, 0.7431]
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SM Fit prediction for $\,\cos(2\beta)$

$0.621 \pm 0.035$ 95% prob:[0.549, 0.690] 99% prob:[0.509, 0.718]
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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]
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Full Fit result for $\,2\beta+\gamma [^{\circ}]$

$111.2 \pm 2.6$ 95% prob:[106.1, 116.8] 99% prob:[103, 119.2]
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Fit Input for $\,\gamma [^{\circ}]$

$71.4 \pm 6.5 \text{ and } 71.4 \pm 6.5$ 95% prob:[-122, -95.] U [57.8, 84.1] 99% prob:[-129, -89.] U [50.7, 90.7]
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Full Fit result for $\,\gamma [^{\circ}]$

$64.8 \pm 2.5$ 95% prob:[59.9, 70.2] 99% prob:[57.4, 73.4]
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Fit Input for $\,B(B\rightarrow\tau u) 10^{-4}$

Gaussian likelihood used $1.06 \pm 0.2$
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Full Fit result for $\,B(B\rightarrow\tau u) 10^{-4}$

$0.911 \pm 0.069$ 95% prob:[0.781, 1.051] 99% prob:[0.738, 1.13]
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SM Fit prediction for $\,B(B\rightarrow\tau u) 10^{-4}$

$0.894 \pm 0.069$ 95% prob:[0.76, 1.034] 99% prob:[0.705, 1.123]
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Compatibility Plot for $\,B(B\rightarrow\tau u) 10^{-4}$


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Full fit result for $\,B(B_{s}\rightarrow ll), 10^{-9}$

$3.58 \pm 0.13$ 95% prob:[3.31, 3.33] U [3.34, 3.82] 99% prob:[3.25, 3.97]
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Full fit result for $\,B(B_{d}\rightarrow ll), 10^{-9}$

$0.1059 \pm 0.0058$ 95% prob:[0.0948, 0.1175] 99% prob:[0.0897, 0.1236]
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Exclisive

Parameter	Input value	Full fit	SM Prediction
$\bar{\rho}$		$0.129 \pm 0.017$
$\bar{\eta}$		$0.36 \pm 0.013$
		$0.8099 \pm 0.0093$
$\lambda$	$0.22519 \pm 0.00099$	$0.22506 \pm 0.00066$
$\|V_{ub}\|$	$0.00369 \pm 0.00015$	$0.00364055 \pm 9.3633\times 10^{-5}$
$\|V_{cb}\|$	$0.0392 \pm 0.0007$	$0.04111 \pm 0.00043$
$\|V_{ub}\|/\|V_{cb}\|$	$0.083\pm0.006$
$B_{k}$	$0.766 \pm 0.01$	$0.7697 \pm 0.0094$	$0.93 \pm 0.066$
$\alpha [^{\circ}]$	$92.7 \pm 6.2$	$86.5 \pm 1.5 \text{ and } 88.6 \pm 0.5 \text{ and } 89.7 \pm 0.3$	$83.9 \pm 2.6 \text{ and } 87.1 \pm 0.4$
$\beta [^{\circ}]$		$22.41 \pm 0.66$	$23.33 \pm 0.81$
$\sin(2\beta)$	$0.68 \pm 0.024$	$0.706 \pm 0.017$	$0.725 \pm 0.019$
$\cos(2\beta)$	$0.78 \pm 0.16$	$0.707 \pm 0.016$	$0.687 \pm 0.021$
$2\beta+\gamma [^{\circ}]$	$-90 \pm 54 \text{ and } 90 \pm 54$	$115.0 \pm 2.4$
$\gamma [^{\circ}]$	$-108.6 \pm 6.5 \text{ and } 71.4 \pm 6.5$	$70.2 \pm 2.5$
$B(B\rightarrow\tau\nu) 10^{-4}$	$1.06 \pm 0.2$	$0.839 \pm 0.056$	$0.821 \pm 0.057$
$B(B_{s}\rightarrow ll), 10^{-9}$		$3.49 \pm 0.12$
$B(B_{d}\rightarrow ll), 10^{-9}$		$0.1114 \pm 0.0057$

The fit results for all the nine CKM elements are $V_{CKM}=\left(\begin{array}{ccc} (0.97426 \pm 0.00015) & (0.22517 \pm 0.00063) & (0.00364055 \pm 9.3633\times 10^{-5})e^{i(-72.44 \pm 0.22 \text{ and } -69.77 \pm 2.0)^\circ}\\ ( -0.22491 \pm 0.00065)e^{i(0.03491 \pm 0.00079)^\circ} & (0.97344 \pm 0.00018)e^{i(-0.00187222 \pm 3.88889\times 10^{-5})^\circ} & (0.04111 \pm 0.00043) \\ (0.00873 \pm 0.00015)e^{i(-22.4 \pm 0.53 \text{ and } -21.66 \pm 0.07)^\circ} & ( -0.04036 \pm 0.00045)e^{i(1.094 \pm 0.032)^\circ} & (0.999143 \pm 0.00002)\end{array}\right)$

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

$0.129 \pm 0.017$ 95% prob:[0.093, 0.162] 99% prob:[0.080, 0.179]
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Full fit result for $\,\bar{\eta}$

$0.36 \pm 0.013$ 95% prob:[0.334, 0.386] 99% prob:[0.322, 0.400]
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Full fit result for $\,\bar{\rho} - \bar{\eta}$


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Full fit result for $\,A$

$0.8099 \pm 0.0093$ 95% prob:[0.792, 0.828] 99% prob:[0.781, 0.834]
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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 $\,\lambda$

$0.22506 \pm 0.00066$ 95% prob:[0.224, 0.2265] 99% prob:[0.2233, 0.2271]
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Fit Input for $\,\|V_{ub}\|$

$0.00392 \pm 0.00034$ 95% prob:[0.00338, 0.00398] 99% prob:[0.00324, 0.00413]
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Full Fit result for $\,\|V_{ub}\|$

$0.00364055 \pm 9.3633\times 10^{-5}$ 95% prob:[0.00346563, 0.00382154] 99% prob:[0.00334866, 0.00335166] U [0.00339565, 0.00391652]
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Fit Input for $\,\|V_{cb}\|$

Gaussian likelihood used $0.0407 \pm 0.0015$
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Full Fit result for $\,\|V_{cb}\|$

$0.04111 \pm 0.00043$ 95% prob:[0.04035, 0.04036] U [0.04038, 0.04192] 99% prob:[0.03992, 0.04196]
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Fit Input for $\,B_{k}$

$0.766 \pm 0.01$ 95% prob:[0.748, 0.788] 99% prob:[0.742, 0.795]
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Full Fit result for $\,B_{k}$

$0.7697 \pm 0.0094$ 95% prob:[0.752, 0.791] 99% prob:[0.741, 0.8]
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SM Fit prediction for $\,B_{k}$

$0.93 \pm 0.066$ 95% prob:[0.802, 1.068] 99% prob:[0.75, 1.148]
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Compatibility Plot for $\,B_{k}$


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Fit Input for $\,\alpha [^{\circ}]$

$92.7 \pm 6.2$ 95% prob:[83.5, 102.9] U [161.2, 169.8] 99% prob:[78.8, 108.2] U [157.9, 171.5] U [179.5, 180]
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Full Fit result for $\,\alpha [^{\circ}]$

$86.5 \pm 1.5 \text{ and } 88.6 \pm 0.5 \text{ and } 89.7 \pm 0.3$ 95% prob:[82.1, 90.8] U [91.2, 92.2] 99% prob:[80.2, 80.3] U [80.7, 94.7]
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SM Fit prediction for $\,\alpha [^{\circ}]$

$83.9 \pm 2.6 \text{ and } 87.1 \pm 0.4$ 95% prob:[78.3, 90.4] 99% prob:[75.1, 75.7] U [76, 93.7]
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Compatibility Plot for $\,\alpha [^{\circ}]$


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Full Fit result for $\,\beta [^{\circ}]$

$22.41 \pm 0.66$ 95% prob:[21.2, 23.8] 99% prob:[20.5, 24.5]
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SM Fit prediction for $\,\beta [^{\circ}]$

$23.33 \pm 0.81$ 95% prob:[21.5, 24.8] 99% prob:[20.8, 25.8]
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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 $\,\sin(2\beta)$

$0.706 \pm 0.017$ 95% prob:[0.678, 0.74] 99% prob:[0.659, 0.755]
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SM Fit prediction for $\,\sin(2\beta)$

$0.725 \pm 0.019$ 95% prob:[0.686, 0.764] 99% prob:[0.661, 0.664] U [0.668, 0.784]
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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 $\,\cos(2\beta)$

$0.707 \pm 0.016$ 95% prob:[0.672, 0.734] U [0.738, 0.739] 99% prob:[0.655, 0.753] U [0.761, 0.762]
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SM Fit prediction for $\,\cos(2\beta)$

$0.687 \pm 0.021$ 95% prob:[0.646, 0.729] 99% prob:[0.622, 0.749]
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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]
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Full Fit result for $\,2\beta+\gamma [^{\circ}]$

$115.0 \pm 2.4$ 95% prob:[110.3, 120.4] 99% prob:[107.4, 108] U [108.5, 122.4]
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Fit Input for $\,\gamma [^{\circ}]$

$71.4 \pm 6.5 \text{ and } 71.4 \pm 6.5$ 95% prob:[-122, -95.] U [57.8, 84.1] 99% prob:[-129, -89.] U [50.7, 90.7]
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Full Fit result for $\,\gamma [^{\circ}]$

$70.2 \pm 2.5$ 95% prob:[65.4, 75.5] 99% prob:[63, 77.3]
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Fit Input for $\,B(B\rightarrow\tau u) 10^{-4}$

Gaussian likelihood used $1.06 \pm 0.2$
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Full Fit result for $\,B(B\rightarrow\tau u) 10^{-4}$

$0.839 \pm 0.056$ 95% prob:[0.727, 0.952] 99% prob:[0.68, 1.02]
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SM Fit prediction for $\,B(B\rightarrow\tau u) 10^{-4}$

$0.821 \pm 0.057$ 95% prob:[0.708, 0.937] 99% prob:[0.634, 0.996]
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Compatibility Plot for $\,B(B\rightarrow\tau u) 10^{-4}$


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too many splits for range

Full fit result for $\,B(B_{s}\rightarrow ll), 10^{-9}$

$3.49 \pm 0.12$ 95% prob:[3.257, 3.697] U [3.73, 3.765] 99% prob:[3.16, 3.163] U [3.181, 3.822] U [3.834, 3.855]
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Full fit result for $\,B(B_{d}\rightarrow ll), 10^{-9}$

$0.1114 \pm 0.0057$ 95% prob:[0.0995, 0.122] U [0.1247, 0.125] 99% prob:[0.0942, 0.0974] U [0.0977, 0.1277]
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