ResultsWinter2016SM < UTfit

Standard Model Fit results: Winter 2016

Parameter	Input value	Full fit	SM Prediction
$\bar{\rho}$			$0.142 \pm 0.018$
$\bar{\eta}$			$0.348 \pm 0.012$
$\rho$			$0.145 \pm 0.019$
$\eta$			$0.357 \pm 0.013$
			$0.829 \pm 0.012$
$\lambda$	$0.22518 \pm 0.00087$		$0.22504 \pm 0.00064$
$\sin\theta_{12}$			$0.22504 \pm 0.00064$
$\sin\theta_{23}$			$0.04205 \pm 0.00053$
$\sin\theta_{13}$			$0.00365 \pm 0.00011$
$\delta [^{\circ}]$			$67.8 \pm 2.8$
$\|V_{ub}\|$	$0.00380 \pm 0.00040$	$0.00365 \pm 0.00011$	$0.00364 \pm 0.00012$
$\|V_{ub}\|$ (excl.)	$0.00369 \pm 0.00014$
$\|V_{ub}\|$ (incl.)	$0.00440 \pm 0.00022$
$\|V_{cb}\|$	$0.0408 \pm 0.0011$	$0.04205 \pm 0.00053$	$0.04237 \pm 0.00062$
$\|V_{cb}\|$ (excl.)	$0.03919 \pm 0.00070$
$\|V_{cb}\|$ (incl.)	$0.04220 \pm 0.00070$
$\alpha [^{\circ}]$	$92.5 \pm 5.5 \text{ and } 166.1 \pm 0.6$	$90.0 \pm 2.7$	$88.1 \pm 3.4$
$\beta [^{\circ}]$		$22.04 \pm 0.85$	$24.2 \pm 1.6$
$\gamma [^{\circ}]$	$-108.5 \pm 6.5 \text{ and } 71.4 \pm 6.5$	$67.7 \pm 2.8$	$66.9 \pm 3.0$
$J_{cp}\cdot10^{5}$			$3.122 \pm 0.083$
$2\beta+\gamma [^{\circ}]$	$-90 \pm 53 \text{ and } 89 \pm 54$	$112.0 \pm 2.8$	$112.2 \pm 2.8$
$\sin(2\beta)$	$0.679 \pm 0.023$	$0.695 \pm 0.021$	$0.746 \pm 0.039$
$\cos(2\beta)$	$0.78 \pm 0.16$	$0.716 \pm 0.020$	$0.661 \pm 0.043$
$\beta_{s} [^{\circ}]$	$0.97 \pm 0.94$		$1.057 \pm 0.038$
$m_{c}\mathrm{ [GeV/c^{2}]}$	$1.280 \pm 0.020$
$m_{b}\mathrm{ [GeV/c^{2}]}$	$4.170 \pm 0.050$
$m_{t}\mathrm{ [GeV/c^{2}]}$	$164.10 \pm 0.70$	$163.91 \pm 0.70$	$162.4 \pm 7.5$
$B_{k}$	$0.7660 \pm 0.0100$	$0.7673 \pm 0.0098$	$0.845 \pm 0.074$
$f_{B_{s}}$	$0.2260 \pm 0.0050$	$0.2256 \pm 0.0038$	$0.2253 \pm 0.0060$
$f_{B_{s}}/f_{B_{d}}$	$1.204 \pm 0.016$	$1.202 \pm 0.015$	$1.211 \pm 0.048$
$B_{B_{s}}/B_{B_{d}}$	$1.030 \pm 0.080$	$1.072 \pm 0.047$	$1.097 \pm 0.060$
$B_{B_{s}}$	$0.875 \pm 0.040$	$0.875 \pm 0.029$	$0.880 \pm 0.045$
$B_{k}$	$0.7660 \pm 0.0100$	$0.7673 \pm 0.0098$	$0.845 \pm 0.074$
$\|\epsilon_{k}\|\cdot 10^{3}$	$2.228 \pm 0.011$	$2.227 \pm 0.010$	$2.03 \pm 0.18$
$\Delta m_{s} \mathrm{[ps^{-1}]}$	$17.761 \pm 0.022$	$17.760 \pm 0.022$	$17.3 \pm 1.0$
$\Delta m_{d} \mathrm{[ps^{-1}]}$	$0.5060 \pm 0.0020$
$\Delta\Gamma_{d}/\Gamma_{d}$	$0.00100 \pm 0.00999$		$0.00555 \pm 0.00038$
$\Delta\Gamma_{s}/\Gamma_{s}$	$0.1300 \pm 0.0089$		$0.169 \pm 0.011$
$A_{SL_{d}}$	$-0.0015 \pm 0.0017$	$-0.000284 \pm 0.000024$	$-0.000284 \pm 0.000024$
$A_{SL_{s}}$	$-0.0075 \pm 0.0041$	$0.0000128 \pm 0.0000010$	$0.0000128 \pm 0.0000010$
$B(B\rightarrow\tau\nu)\cdot 10^{4}$	$1.06 \pm 0.20$	$0.830 \pm 0.064$	$0.805 \pm 0.066$
$\bar {B}(B_{s}\rightarrow ll)\cdot10^{9}$	$2.90 \pm 0.70$	$3.89 \pm 0.14$	$3.94 \pm 0.15$
$B(B_{d}\rightarrow ll)\cdot10^{9}$	$0.39 \pm 0.15$	$0.1097 \pm 0.0057$	$0.1104 \pm 0.0059$

CKM matrix thus looks like $V_{CKM}=\left(\begin{array}{ccc} (0.97428 \pm 0.00015) & (0.22504 \pm 0.00064) & (0.00364 \pm 0.00012)e^{i(-67.7 \pm 2.6)^\circ}\\ ( -0.22498 \pm 0.00064)e^{i(0.03530 \pm 0.00095)^\circ} & (0.97343 \pm 0.00015)e^{i(-0.001883 \pm 0.000050)^\circ} & (0.04237 \pm 0.00062) \\ (0.00875 \pm 0.00016)e^{i(-22.00 \pm 0.80)^\circ} & ( -0.04128 \pm 0.00053)e^{i(1.055 \pm 0.038)^\circ} & (0.999107 \pm 0.000022)\end{array}\right)$

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

$0.142 \pm 0.018$ 95% prob:[0.105, 0.180] 99% prob:[0.087, 0.198]
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Full fit result for $\,\bar{\eta}$

$0.348 \pm 0.012$ 95% prob:[0.323, 0.374] 99% prob:[0.312, 0.388]
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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 $\,\rho$

$0.145 \pm 0.019$ 95% prob:[0.108, 0.185] 99% prob:[0.089, 0.203]
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Full fit result for $\,\eta$

$0.357 \pm 0.013$ 95% prob:[0.331, 0.384] 99% prob:[0.319, 0.398]
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Full fit result for $\,A$

$0.829 \pm 0.012$ 95% prob:[0.806, 0.853] 99% prob:[0.795, 0.866]
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Fit Input for $\,\lambda$

$0.22518 \pm 0.00087$ 95% prob:[0.22356, 0.22712] 99% prob:[0.22257, 0.22801]
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Prediction for $\,\lambda$

$0.22504 \pm 0.00064$ 95% prob:[0.22386, 0.22633] 99% prob:[0.22326, 0.22703]
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Full fit result for $\,\sin\theta_{12}$

$0.22504 \pm 0.00064$ 95% prob:[0.22386, 0.22633] 99% prob:[0.22326, 0.22703]
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Full fit result for $\,\sin\theta_{23}$

$0.04205 \pm 0.00053$ 95% prob:[0.04097, 0.04312] 99% prob:[0.04047, 0.04370]
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Full fit result for $\,\sin\theta_{13}$

$0.00365 \pm 0.00011$ 95% prob:[0.00342, 0.00390] 99% prob:[0.00332, 0.00403]
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Full fit result for $\,\delta [^{\circ}]$

$67.8 \pm 2.8$ 95% prob:[62.2, 73.2] 99% prob:[59.7, 76.1]
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Fit Input for $\,\|V_{ub}\|$

Gaussian likelihood used $0.00380 \pm 0.00040$
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Full Fit result for $\,\|V_{ub}\|$

$0.00365 \pm 0.00011$ 95% prob:[0.00342, 0.00390] 99% prob:[0.00331, 0.00403]
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SM Fit prediction for $\,\|V_{ub}\|$

$0.00364 \pm 0.00012$ 95% prob:[0.00340, 0.00389] 99% prob:[0.00329, 0.00404]
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Compatibility Plot for $\,\|V_{ub}\|$

${\rm pull}(\|V_{ub}\|) = -0.4$
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Fit Input for $\,\|V_{cb}\|$

Gaussian likelihood used $0.0408 \pm 0.0011$
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Full Fit result for $\,\|V_{cb}\|$

$0.04205 \pm 0.00053$ 95% prob:[0.04099, 0.04313] 99% prob:[0.04049, 0.04361]
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SM Fit prediction for $\,\|V_{cb}\|$

$0.04237 \pm 0.00062$ 95% prob:[0.04117, 0.04367] 99% prob:[0.04057, 0.04428]
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Compatibility Plot for $\,\|V_{cb}\|$

${\rm pull}(\|V_{cb}\|) = +1.1$
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Fit Input for $\,\alpha [^{\circ}]$

$92.5 \pm 5.5 \text{ and } 166.1 \pm 0.6$ 95% prob:[83.60, 102.60] U [162.30, 169.70] 99% prob:[80.00, 108.80] U [159.19, 171.60]
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Full Fit result for $\,\alpha [^{\circ}]$

$90.0 \pm 2.7$ 95% prob:[84.7, 95.5] 99% prob:[82.0, 98.0]
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SM Fit prediction for $\,\alpha [^{\circ}]$

$88.1 \pm 3.4$ 95% prob:[81.5, 95.2] 99% prob:[78.2, 98.7]
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Compatibility Plot for $\,\alpha [^{\circ}]$

${\rm pull}(\alpha ) = -0.7$
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Full Fit result for $\,\beta [^{\circ}]$

$22.04 \pm 0.85$ 95% prob:[20.4699, 23.8400] 99% prob:[19.7600, 24.7699]
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SM Fit prediction for $\,\beta [^{\circ}]$

$24.2 \pm 1.6$ 95% prob:[20.9, 27.6] 99% prob:[19.4, 29.3]
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Fit Input for $\,\gamma [^{\circ}]$

$-108.5 \pm 6.5 \text{ and } 71.4 \pm 6.5$ 95% prob:[-122.0, -95.9] U [57.7, 84.0] 99% prob:[-129.3, -89.4] U [50.7, 90.7]
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Full Fit result for $\,\gamma [^{\circ}]$

$67.7 \pm 2.8$ 95% prob:[62.2, 73.2] 99% prob:[59.6, 76.0]
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SM Fit prediction for $\,\gamma [^{\circ}]$

$66.9 \pm 3.0$ 95% prob:[61.0, 73.0] 99% prob:[58.0, 75.9]
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Compatibility Plot for $\,\gamma [^{\circ}]$

${\rm pull}(\gamma ) = -0.7$
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Full fit result for $\,J_{cp}\cdot10^{5}$

$3.122 \pm 0.083$ 95% prob:[2.958, 3.294] 99% prob:[2.878, 3.379]
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Fit Input for $\,2\beta+\gamma [^{\circ}]$

$-90 \pm 53 \text{ and } 89 \pm 54$ 95% prob:[-173, -6] U [6, 173] 99% prob:[-180, 180]
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Full Fit result for $\,2\beta+\gamma [^{\circ}]$

$112.0 \pm 2.8$ 95% prob:[106.2, 117.5] 99% prob:[103.5, 120.5]
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SM Fit prediction for $\,2\beta+\gamma [^{\circ}]$

$112.2 \pm 2.8$ 95% prob:[106.5, 117.9] 99% prob:[103.7, 120.7]
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Compatibility Plot for $\,2\beta+\gamma [^{\circ}]$

${\rm pull}(2\beta+\gamma ) = +0.4$
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Fit Input for $\,\sin(2\beta)$

$0.679 \pm 0.023$ 95% prob:[0.635, 0.729] 99% prob:[0.613, 0.755]
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Full Fit result for $\,\sin(2\beta)$

$0.695 \pm 0.021$ 95% prob:[0.656, 0.740] 99% prob:[0.637, 0.762]
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SM Fit prediction for $\,\sin(2\beta)$

$0.746 \pm 0.039$ 95% prob:[0.669, 0.822] 99% prob:[0.630, 0.858]
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Compatibility Plot for $\,\sin(2\beta)$

${\rm pull}(sin(2\beta)) = +1.4$
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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 $\,\cos(2\beta)$

$0.716 \pm 0.020$ 95% prob:[0.673, 0.755] 99% prob:[0.649, 0.772]
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SM Fit prediction for $\,\cos(2\beta)$

$0.661 \pm 0.043$ 95% prob:[0.572, 0.747] 99% prob:[0.522, 0.780]
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Compatibility Plot for $\,\cos(2\beta)$

${\rm pull}(cos(2\beta)) = -0.8$
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Fit Input for $\,\beta_{s} [^{\circ}]$

$0.97 \pm 0.94$ 95% prob:0 99% prob:0
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Prediction for $\,\beta_{s} [^{\circ}]$

$1.057 \pm 0.038$ 95% prob:[0.982, 1.137] 99% prob:[0.947, 1.183]
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Fit Input for $\,m_{t}\mathrm{ [GeV/c^{2}]}$

Gaussian likelihood used $164.10 \pm 0.70$
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Full Fit result for $\,m_{t}\mathrm{ [GeV/c^{2}]}$

$163.91 \pm 0.70$ 95% prob:[162.69, 165.50] 99% prob:[162.10, 166.20]
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SM Fit prediction for $\,m_{t}\mathrm{ [GeV/c^{2}]}$

$162.4 \pm 7.5$ 95% prob:[147.4, 177.5] 99% prob:[138.8, 185.8]
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Compatibility Plot for $\,m_{t}\mathrm{ [GeV/c^{2}]}$

${\rm pull}(m_{t} ) = -0.3$
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Fit Input for $\,B_{k}$

$0.7660 \pm 0.0100$ 95% prob:[0.746, 0.787] 99% prob:[0.739, 0.794]
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Full Fit result for $\,B_{k}$

$0.7673 \pm 0.0098$ 95% prob:[0.7476, 0.7873] 99% prob:[0.7376, 0.7971]
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SM Fit prediction for $\,B_{k}$

$0.845 \pm 0.074$ 95% prob:[0.700, 0.998] 99% prob:[0.644, 1.093]
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Compatibility Plot for $\,B_{k}$

${\rm pull}(B_{k}) = +1.0$
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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 $\,f_{B_{s}}$

$0.2256 \pm 0.0038$ 95% prob:[0.2180, 0.2334] 99% prob:[0.2142, 0.2372]
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SM Fit prediction for $\,f_{B_{s}}$

$0.2253 \pm 0.0060$ 95% prob:[0.2135, 0.2377] 99% prob:[0.2086, 0.2440]
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Compatibility Plot for $\,f_{B_{s}}$

${\rm pull}(f_{B_{s}}) = -0.1$
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Fit Input for $\,f_{B_{s}}/f_{B_{d}}$

Gaussian likelihood used $1.204 \pm 0.016$
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Full Fit result for $\,f_{B_{s}}/f_{B_{d}}$

$1.202 \pm 0.015$ 95% prob:[1.174, 1.234] 99% prob:[1.160, 1.249]
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SM Fit prediction for $\,f_{B_{s}}/f_{B_{d}}$

$1.211 \pm 0.048$ 95% prob:[1.120, 1.318] 99% prob:[1.075, 1.379]
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Compatibility Plot for $\,f_{B_{s}}/f_{B_{d}}$

${\rm pull}(f_{B_{s}}/f_{B_{d}}) = +0.1$
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Fit Input for $\,B_{B_{s}}/B_{B_{d}}$

Gaussian likelihood used $1.030 \pm 0.080$
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Full Fit result for $\,B_{B_{s}}/B_{B_{d}}$

$1.072 \pm 0.047$ 95% prob:[0.980, 1.169] 99% prob:[0.935, 1.219]
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SM Fit prediction for $\,B_{B_{s}}/B_{B_{d}}$

$1.097 \pm 0.060$ 95% prob:[0.984, 1.224] 99% prob:[0.925, 1.282]
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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 $0.875 \pm 0.040$
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Full Fit result for $\,B_{B_{s}}$

$0.875 \pm 0.029$ 95% prob:[0.817, 0.936] 99% prob:[0.791, 0.970]
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SM Fit prediction for $\,B_{B_{s}}$

$0.880 \pm 0.045$ 95% prob:[0.792, 0.977] 99% prob:[0.757, 1.035]
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Compatibility Plot for $\,B_{B_{s}}$

${\rm pull}(B_{B_{s}}) = 0.0$
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Fit Input for $\,B_{k}$

$0.7660 \pm 0.0100$ 95% prob:[0.746, 0.787] 99% prob:[0.739, 0.794]
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Full Fit result for $\,B_{k}$

$0.7673 \pm 0.0098$ 95% prob:[0.7476, 0.7873] 99% prob:[0.7376, 0.7971]
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SM Fit prediction for $\,B_{k}$

$0.845 \pm 0.074$ 95% prob:[0.700, 0.998] 99% prob:[0.644, 1.093]
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Compatibility Plot for $\,B_{k}$

${\rm pull}(B_{k}) = +1.0$
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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:[2.205, 2.249] 99% prob:[2.194, 2.259]
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SM Fit prediction for $\,\|\epsilon_{k}\|\cdot 10^{3}$

$2.03 \pm 0.18$ 95% prob:[1.69, 2.41] 99% prob:[1.55, 2.62]
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Compatibility Plot for $\,\|\epsilon_{k}\|\cdot 10^{3}$

${\rm pull}(\|\epsilon_{k}\|\cdot 10^{3}) = -1.1$
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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 $\,\Delta m_{s} \mathrm{[ps^{-1}]}$

$17.760 \pm 0.022$ 95% prob:[17.717, 17.803] 99% prob:[17.696, 17.828]
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SM Fit prediction for $\,\Delta m_{s} \mathrm{[ps^{-1}]}$

$17.3 \pm 1.0$ 95% prob:[15.3, 19.4] 99% prob:[14.3, 20.6]
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Fit Input for $\,\Delta\Gamma_{d}/\Gamma_{d}$

$0.00100 \pm 0.00999$ 95% prob:0 99% prob:0
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Prediction for $\,\Delta\Gamma_{d}/\Gamma_{d}$

$0.00555 \pm 0.00038$ 95% prob:[0.00480, 0.00636] 99% prob:[0.00451, 0.00683]
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Fit Input for $\,\Delta\Gamma_{s}/\Gamma_{s}$

$0.1300 \pm 0.0089$ 95% prob:0 99% prob:0
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Prediction for $\,\Delta\Gamma_{s}/\Gamma_{s}$

$0.169 \pm 0.011$ 95% prob:[0.147, 0.192] 99% prob:[0.139, 0.206]
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Fit Input for $\,A_{SL_{d}}$

Gaussian likelihood used $-0.0015 \pm 0.0017$
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Full Fit result for $\,A_{SL_{d}}$

$-0.000284 \pm 0.000024$ 95% prob:[-0.000335, -0.000234] 99% prob:[-0.000362, -0.000215]
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SM Fit prediction for $\,A_{SL_{d}}$

$-0.000284 \pm 0.000024$ 95% prob:[-0.000335, -0.000234] 99% prob:[-0.000362, -0.000215]
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Compatibility Plot for $\,A_{SL_{d}}$

${\rm pull}(A_{SL_{d}}) = +0.7$
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Fit Input for $\,A_{SL_{s}}$

Gaussian likelihood used $-0.0075 \pm 0.0041$
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Full Fit result for $\,A_{SL_{s}}$

$0.0000128 \pm 0.0000010$ 95% prob:[0.0000106, 0.0000149] 99% prob:[0.0000097, 0.0000158]
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SM Fit prediction for $\,A_{SL_{s}}$

$0.0000128 \pm 0.0000010$ 95% prob:[0.0000106, 0.0000149] 99% prob:[0.0000097, 0.0000158]
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Compatibility Plot for $\,A_{SL_{s}}$

${\rm pull}(A_{SL_{s}}) = +1.8$
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Fit Input for $\,B(B\rightarrow\tau\nu)\cdot 10^{4}$

Gaussian likelihood used $1.06 \pm 0.20$
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Full Fit result for $\,B(B\rightarrow\tau\nu)\cdot 10^{4}$

$0.830 \pm 0.064$ 95% prob:[0.705, 0.968] 99% prob:[0.652, 1.045]
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SM Fit prediction for $\,B(B\rightarrow\tau\nu)\cdot 10^{4}$

$0.805 \pm 0.066$ 95% prob:[0.677, 0.939] 99% prob:[0.623, 1.022]
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Compatibility Plot for $\,B(B\rightarrow\tau\nu)\cdot 10^{4}$

${\rm pull}(B(B\rightarrow\tau\nu)\cdot 10^{4}) = -1.3$
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Fit Input for $\,\bar {B}(B_{s}\rightarrow ll)\cdot10^{9}$

Gaussian likelihood used $2.90 \pm 0.70$
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Full Fit result for $\,\bar {B}(B_{s}\rightarrow ll)\cdot10^{9}$

$3.89 \pm 0.14$ 95% prob:[3.60, 4.20] 99% prob:[3.47, 4.38]
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SM Fit prediction for $\,\bar {B}(B_{s}\rightarrow ll)\cdot10^{9}$

$3.94 \pm 0.15$ 95% prob:[3.63, 4.26] 99% prob:[3.50, 4.45]
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Compatibility Plot for $\,\bar {B}(B_{s}\rightarrow ll)\cdot10^{9}$

${\rm pull}(\bar {B}(B_{s}\rightarrow ll)\cdot10^{9}) = +1.4$
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Fit Input for $\,B(B_{d}\rightarrow ll)\cdot10^{9}$

Gaussian likelihood used $0.39 \pm 0.15$
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Full Fit result for $\,B(B_{d}\rightarrow ll)\cdot10^{9}$

$0.1097 \pm 0.0057$ 95% prob:[0.0986, 0.1217] 99% prob:[0.0937, 0.1280]
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SM Fit prediction for $\,B(B_{d}\rightarrow ll)\cdot10^{9}$

$0.1104 \pm 0.0059$ 95% prob:[0.0990, 0.1223] 99% prob:[0.0940, 0.1285]
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Compatibility Plot for $\,B(B_{d}\rightarrow ll)\cdot10^{9}$

${\rm pull}(B(B_{d}\rightarrow ll)\cdot10^{9}) = -1.9$
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