ResultsSummer2014PostMoriondSM < UTfit

Standard Model Fit results: Summer 2014

Parameter	Input value	Full fit	SM Prediction
$\gamma [^{\circ}]$	$-111.5 \pm 7.5 \text{ and } 68.4 \pm 7.5$	$69.2 \pm 3.4$	$69.5 \pm 3.9$
$2\beta+\gamma [^{\circ}]$	$-90 \pm 54 \text{ and } 90 \pm 54$	$113.6 \pm 3.4$	$113.9 \pm 3.4$
$\|V_{ub}\|$	$0.00375 \pm 0.00046$	$0.00363 \pm 0.00012$	$0.00362 \pm 0.00013$
$\|V_{cb}\|$	$0.0409 \pm 0.001$	$0.0417 \pm 0.00056$	$0.04204 \pm 0.00068$
$\lambda$	$0.2253 \pm 0.0009$	$0.22534 \pm 0.00065$
$f_{B_{s}}$	$0.2277 \pm 0.0045$	$0.2274 \pm 0.0037$	$0.2275 \pm 0.0065$
$B(B_{d}\rightarrow ll), 10^{-9}$	$0.37 \pm 0.15$	$0.1136 \pm 0.0068$	$0.1137 \pm 0.0068$
$\Delta m_{d} \mathrm{[ps^{-1}]}$	$0.51 \pm 0.003$
$\sin(2\beta)$	$0.68 \pm 0.024$	$0.695 \pm 0.022$	$0.754 \pm 0.042$
$B_{k}$	$0.766 \pm 0.01$	$0.7667 \pm 0.0099$	$0.839 \pm 0.077$
$\cos(2\beta)$	$0.78 \pm 0.16$	$0.717 \pm 0.021$	$0.653 \pm 0.049$
$B_{B_{s}}$	$0.875 \pm 0.04$	$0.876 \pm 0.029$	$0.882 \pm 0.044$
$B_{B_{s}}/B_{B_{d}}$	$1.06 \pm 0.11$	$1.1 \pm 0.062$	$1.122 \pm 0.076$
$B(B\rightarrow\tau\nu) 10^{-4}$	$1.14 \pm 0.22$	$0.84 \pm 0.071$	$0.81 \pm 0.07$
$f_{B_{s}}/f_{B_{d}}$	$1.202 \pm 0.022$	$1.198 \pm 0.02$	$1.184 \pm 0.061$
$m_{c}\mathrm{ [GeV/c^{2}]}$	$1.3 \pm 0.03$
$\Delta m_{K} \mathrm{[ps^{-1}]}$	$1.8 \pm 1.8$
$\bar {B}(B_{s}\rightarrow ll), 10^{-9}$	$2.9 \pm 0.7$	$3.86 \pm 0.15$	$3.91 \pm 0.16$
$m_{b}\mathrm{ [GeV/c^{2}]}$	$4.18 \pm 0.03$
$\Delta m_{s} \mathrm{[ps^{-1}]}$	$17.761 \pm 0.022$	$17.755 \pm 0.022$	$17.5 \pm 1.1$
$\alpha [^{\circ}]$	$90.7 \pm 7.0$	$88.6 \pm 3.3$	$87.2 \pm 3.9$
$m_{t}\mathrm{ [GeV/c^{2}]}$	$164.1 \pm 0.7$	$163.9 \pm 0.7$	$161.9 \pm 7.3$
$\bar{\rho}$		$0.132 \pm 0.023$
$\bar{\eta}$		$0.352 \pm 0.014$
$\rho$		$0.136 \pm 0.024$
$\eta$		$0.361 \pm 0.014$
		$0.821 \pm 0.012$
$\sin\theta_{12}$		$0.22523 \pm 0.00065$
$\sin\theta_{23}$		$0.0417 \pm 0.00057$
$\sin\theta_{13}$		$0.00363 \pm 0.00012$
$\delta [^{\circ}]$		$69.4 \pm 3.4$
$\beta [^{\circ}]$		$22.03 \pm 0.86$	$24.5 \pm 1.8$
$\|\epsilon_{k}\|$		$2.227 \pm 0.011$
$J_{cp} 10^{-5}$		$3.109 \pm 0.086$
$\Delta\Gamma_{d}/\Gamma_{d}$		$0.00516 \pm 0.00036$
$\Delta\Gamma_{s}/\Gamma_{s}$		$0.153 \pm 0.012$
$\beta_{s} [^{\circ}]$		$1.071 \pm 0.041$

The fit results for all the nine CKM elements are $V_{CKM}=\left(\begin{array}{ccc} (0.97426 \pm 0.00015) & (0.22529 \pm 0.00061) & (0.00363 \pm 0.00012)e^{i(-69.3 \pm 3.3)^\circ}\\ ( -0.22518 \pm 0.00066)e^{i(0.03509 \pm 0.00098)^\circ} & (0.97341 \pm 0.00015)e^{i(-0.00187 \pm 0.00005)^\circ} & (0.0417 \pm 0.00056) \\ (0.0088 \pm 0.00018)e^{i(-22.0 \pm 0.8)^\circ} & ( -0.04092 \pm 0.00055)e^{i(1.069 \pm 0.042)^\circ} & (0.999119 \pm 0.000021)\end{array}\right)$

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

$0.132 \pm 0.023$ 95% prob:[0.087, 0.177] 99% prob:[0.066, 0.200]
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Full fit result for $\,\bar{\eta}$

$0.352 \pm 0.014$ 95% prob:[0.325, 0.379] 99% prob:[0.313, 0.394]
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Full SM fit for $\,\bar{\rho}-\bar{\eta}$

$\bar\rho=0.132 \pm 0.023$ $\bar\eta=0.351 \pm 0.013$
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Angles only for $\,\bar{\rho}-\bar{\eta}$

$\bar\rho=0.139 \pm 0.029$ $\bar\eta=0.337 \pm 0.016$
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Angles and $\epsilon_K$ for $\,\bar{\rho}-\bar{\eta}$

$\bar\rho=0.126 \pm 0.026$ $\bar\eta=0.347 \pm 0.015$
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Sides for $\,\bar{\rho}-\bar{\eta}$

$\bar\rho=0.151 \pm 0.049$ $\bar\eta=0.354 \pm 0.051$
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Sides and $\epsilon_K$ for $\,\bar{\rho}-\bar{\eta}$

$\bar\rho=0.144 \pm 0.046$ $\bar\eta=0.374 \pm 0.029$
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Full fit result for $\,\rho$

$0.136 \pm 0.024$ 95% prob:[0.089, 0.182] 99% prob:[0.067, 0.205]
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Full fit result for $\,\eta$

$0.361 \pm 0.014$ 95% prob:[0.333, 0.389] 99% prob:[0.321, 0.404]
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Full fit result for $\,A$

$0.821 \pm 0.012$ 95% prob:[0.798, 0.846] 99% prob:[0.786, 0.858]
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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 $\,\lambda$

$0.22534 \pm 0.00065$ 95% prob:[0.2241, 0.2266] 99% prob:[0.2235, 0.2273]
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Fit Input for $\,\|V_{ub}\|$

Gaussian likelihood used $0.00375 \pm 0.00046$
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Full Fit result for $\,\|V_{ub}\|$

$0.00363 \pm 0.00012$ 95% prob:[0.00339, 0.00388] 99% prob:[0.00328, 0.00402]
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SM Fit prediction for $\,\|V_{ub}\|$

$0.00362 \pm 0.00013$ 95% prob:[0.00337466, 0.00387953] 99% prob:[0.00327168, 0.00402949]
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Compatibility Plot for $\,\|V_{ub}\|$


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

Gaussian likelihood used $0.0409 \pm 0.001$
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Full Fit result for $\,\|V_{cb}\|$

$0.0417 \pm 0.00056$ 95% prob:[0.04062, 0.04285] 99% prob:[0.04007, 0.0434]
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SM Fit prediction for $\,\|V_{cb}\|$

$0.04204 \pm 0.00068$ 95% prob:[0.04074, 0.04342] 99% prob:[0.04012, 0.04412]
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Compatibility Plot for $\,\|V_{cb}\|$


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Full fit result for $\,\sin\theta_{12}$

$0.22523 \pm 0.00065$ 95% prob:[0.22415, 0.22663] 99% prob:[0.22346, 0.22722]
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Full fit result for $\,\sin\theta_{23}$

$0.0417 \pm 0.00057$ 95% prob:[0.04060, 0.04285] 99% prob:[0.04006, 0.04340]
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Full fit result for $\,\sin\theta_{13}$

$0.00363 \pm 0.00012$ 95% prob:[0.00339, 0.00388] 99% prob:[0.00328, 0.00402]
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Full fit result for $\,\delta [^{\circ}]$

$69.4 \pm 3.4$ 95% prob:[62.7, 76.1] 99% prob:[59.7, 79.1]
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Fit Input for $\,\Delta m_{s} \mathrm{[ps^{-1}]}$

Gaussian likelihood used $17.761 \pm 0.022$
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Full Fit result for $\,\Delta m_{s} \mathrm{[ps^{-1}]}$

$17.755 \pm 0.022$ 95% prob:[17.71, 17.80] 99% prob:[17.69, 17.82]
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SM Fit prediction for $\,\Delta m_{s} \mathrm{[ps^{-1}]}$

$17.5 \pm 1.1$ 95% prob:[15.3, 19.8] 99% prob:[14.3, 21.0]
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Fit Input for $\,m_{t}\mathrm{ [GeV/c^{2}]}$

Gaussian likelihood used $164.1 \pm 0.7$
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Full Fit result for $\,m_{t}\mathrm{ [GeV/c^{2}]}$

$163.92 \pm 0.7$ 95% prob:[162., 165.] 99% prob:[162, 166.]
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SM Fit prediction for $\,m_{t}\mathrm{ [GeV/c^{2}]}$

$161.9 \pm 7.3$ 95% prob:[148.1, 177] 99% prob:[142.1, 183.9]
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Compatibility Plot for $\,m_{t}\mathrm{ [GeV/c^{2}]}$


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Fit Input for $\,f_{B_{s}}$

Gaussian likelihood used $0.2277 \pm 0.0045$
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Full Fit result for $\,f_{B_{s}}$

$0.2274 \pm 0.0037$ 95% prob:[0.2202, 0.2349] 99% prob:[0.2168, 0.2387]
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SM Fit prediction for $\,f_{B_{s}}$

$0.2275 \pm 0.0065$ 95% prob:[0.2151, 0.2407] 99% prob:[0.2082, 0.2462]
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Compatibility Plot for $\,f_{B_{s}}$


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Fit Input for $\,f_{B_{s}}/f_{B_{d}}$

Gaussian likelihood used $1.202 \pm 0.022$
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Full Fit result for $\,f_{B_{s}}/f_{B_{d}}$

$1.198 \pm 0.02$ 95% prob:[1.158, 1.241] 99% prob:[1.136, 1.261]
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SM Fit prediction for $\,f_{B_{s}}/f_{B_{d}}$

$1.184 \pm 0.061$ 95% prob:[1.071, 1.314] 99% prob:[1.023, 1.393]
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Compatibility Plot for $\,f_{B_{s}}/f_{B_{d}}$


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Fit Input for $\,B_{B_{s}}/B_{B_{d}}$

Gaussian likelihood used $1.06 \pm 0.11$
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Full Fit result for $\,B_{B_{s}}/B_{B_{d}}$

$1.1 \pm 0.062$ 95% prob:[0.98, 1.225] 99% prob:[0.927, 1.282] U [1.283, 1.286]
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SM Fit prediction for $\,B_{B_{s}}/B_{B_{d}}$

$1.122 \pm 0.076$ 95% prob:[0.971, 1.274] 99% prob:[0.911, 1.358] U [1.361, 1.365]
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Compatibility Plot for $\,B_{B_{s}}/B_{B_{d}}$


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Fit Input for $\,B_{B_{s}}$

Gaussian likelihood used $0.875 \pm 0.04$
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Full Fit result for $\,B_{B_{s}}$

$0.876 \pm 0.029$ 95% prob:[0.818, 0.936] 99% prob:[0.791, 0.967]
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SM Fit prediction for $\,B_{B_{s}}$

$0.882 \pm 0.044$ 95% prob:[0.799, 0.97] 99% prob:[0.76, 1.023]
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Compatibility Plot for $\,B_{B_{s}}$


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Fit Input for $\,B_{k}$

$0.766 \pm 0.01$ 95% prob:[0.746, 0.787] 99% prob:[0.74, 0.794]
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Full Fit result for $\,B_{k}$

$0.7667 \pm 0.0099$ 95% prob:[0.747, 0.787] 99% prob:[0.738, 0.797]
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SM Fit prediction for $\,B_{k}$

$0.839 \pm 0.077$ 95% prob:[0.691, 0.996] 99% prob:[0.632, 1.092]
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Compatibility Plot for $\,B_{k}$


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

$90.7 \pm 7.0$ 95% prob:[78.6, 103.] U [161., 169.] 99% prob:[72.9, 110.] U [157., 171.] U [179., 180]
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Full Fit result for $\,\alpha [^{\circ}]$

$88.6 \pm 3.3$ 95% prob:[82, 94.9] 99% prob:[78.7, 98.1]
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SM Fit prediction for $\,\alpha [^{\circ}]$

$87.2 \pm 3.9$ 95% prob:[79.5, 95.3] 99% prob:[75.6, 99.1]
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Compatibility Plot for $\,\alpha [^{\circ}]$


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

$22.03 \pm 0.86$ 95% prob:[20.4, 23.8] 99% prob:[19.6, 24.8]
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SM Fit prediction for $\,\beta [^{\circ}]$

$24.5 \pm 1.8$ 95% prob:[20.9, 28.2] 99% prob:[19.2, 30.3]
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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 $\,\sin(2\beta)$

$0.695 \pm 0.022$ 95% prob:[0.655, 0.74] 99% prob:[0.635, 0.762]
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SM Fit prediction for $\,\sin(2\beta)$

$0.754 \pm 0.042$ 95% prob:[0.67, 0.837] 99% prob:[0.627, 0.874]
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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 $\,\cos(2\beta)$

$0.717 \pm 0.021$ 95% prob:[0.673, 0.757] 99% prob:[0.648, 0.773]
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SM Fit prediction for $\,\cos(2\beta)$

$0.653 \pm 0.049$ 95% prob:[0.554, 0.747] 99% prob:[0.494, 0.783]
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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 $\,2\beta+\gamma [^{\circ}]$

$113.6 \pm 3.4$ 95% prob:[106.9, 120.2] 99% prob:[103.5, 123.5]
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SM Fit prediction for $\,2\beta+\gamma [^{\circ}]$

$113.9 \pm 3.4$ 95% prob:[107.1, 120.4] 99% prob:[103.7, 123.6]
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Compatibility Plot for $\,2\beta+\gamma [^{\circ}]$


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

$-111.7 \pm 7.5 \text{ and } 68.3 \pm 7.5$ 95% prob:[-126, -97] U [53, 83] 99% prob:[-134, -89.] U [46, 91]
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Full Fit result for $\,\gamma [^{\circ}]$

$69.2 \pm 3.4$ 95% prob:[62.7, 76.1] 99% prob:[59.5, 79.6]
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SM Fit prediction for $\,\gamma [^{\circ}]$

$69.5 \pm 3.9$ 95% prob:[62.5, 77.4] 99% prob:[59, 81.5]
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Compatibility Plot for $\,\gamma [^{\circ}]$


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Full fit result for $\,\|\epsilon_{k}\|$

$2.227 \pm 0.011$ 95% prob:[2.206, 2.25] 99% prob:[2.194, 2.26]
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Fit Input for $\,B(B\rightarrow\tau\nu) 10^{-4}$

Gaussian likelihood used $1.14 \pm 0.22$
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Full Fit result for $\,B(B\rightarrow\tau\nu) 10^{-4}$

$0.84 \pm 0.071$ 95% prob:[0.705, 0.985] 99% prob:[0.649, 1.069]
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SM Fit prediction for $\,B(B\rightarrow\tau\nu) 10^{-4}$

$0.81 \pm 0.07$ 95% prob:[0.677, 0.953] 99% prob:[0.625, 1.044]
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Compatibility Plot for $\,B(B\rightarrow\tau\nu) 10^{-4}$


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Full fit result for $\,J_{cp} 10^{-5}$

$3.109 \pm 0.086$ 95% prob:[2.94, 3.286] 99% prob:[2.862, 3.38]
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Fit Input for $\,\bar {B}(B_{s}\rightarrow ll), 10^{-9}$

$2.9 \pm 0.7$ 95% prob:0 99% prob:0
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Full Fit result for $\,\bar {B}(B_{s}\rightarrow ll), 10^{-9}$

$3.86 \pm 0.15$ 95% prob:[3.57, 4.16] 99% prob:[3.45, 4.33]
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SM Fit prediction for $\,\bar {B}(B_{s}\rightarrow ll), 10^{-9}$

$3.91 \pm 0.16$ 95% prob:[3.60, 4.22] 99% prob:[3.47, 4.39] U [4.41, 4.42]
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Compatibility Plot for $\,\bar {B}(B_{s}\rightarrow ll), 10^{-9}$


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Fit Input for $\,B(B_{d}\rightarrow ll), 10^{-9}$

$0.37 \pm 0.15$ 95% prob:0 99% prob:0
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Full Fit result for $\,B(B_{d}\rightarrow ll), 10^{-9}$

$0.1136 \pm 0.0068$ 95% prob:[0.1001, 0.1272] 99% prob:[0.094, 0.1348]
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SM Fit prediction for $\,B(B_{d}\rightarrow ll), 10^{-9}$

$0.1137 \pm 0.0068$ 95% prob:[0.1002, 0.1276] 99% prob:[0.0941, 0.1352]
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Compatibility Plot for $\,B(B_{d}\rightarrow ll), 10^{-9}$


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Full fit result for $\,\Delta\Gamma_{d}/\Gamma_{d}$

$0.00516 \pm 0.00036$ 95% prob:[0.00446, 0.00592] 99% prob:[0.00417, 0.00636]
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Full fit result for $\,\Delta\Gamma_{s}/\Gamma_{s}$

$0.153 \pm 0.012$ 95% prob:[0.129, 0.178] 99% prob:[0.119, 0.194]
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Full fit result for $\,\beta_{s} [^{\circ}]$

$1.071 \pm 0.041$ 95% prob:[0.99, 1.155] 99% prob:[0.955, 1.202]
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