ResultsSummer2020SM < UTfit

Standard Model Fit results: Summer 2020

Parameter	Input value	Full fit	SM Prediction
$\bar{\rho}$			$0.148 \pm 0.012$
$\bar{\eta}$			$0.350 \pm 0.010$
$\rho$			$0.152 \pm 0.013$
$\eta$			$0.360 \pm 0.011$
			$0.8244 \pm 0.0098$
$\lambda$	$0.22564 \pm 0.00089$		$0.22495 \pm 0.00035$
$\sin\theta_{12}$			$0.22495 \pm 0.00035$
$\sin\theta_{23}$			$0.04175 \pm 0.00048$
$\sin\theta_{13}$			$0.003675 \pm 0.000097$
$\delta [^{\circ}]$			$67.0 \pm 1.8$
$\|V_{ub}\|$	$0.00388 \pm 0.00026$	$0.003675 \pm 0.000097$	$0.00365 \pm 0.00010$
$\|V_{ub}\|$	$0.00373 \pm 0.00013$
$\|V_{ub}\|$	$0.00436 \pm 0.00025$
$\|V_{cb}\|$	$0.0403 \pm 0.0012$	$0.04175 \pm 0.00048$	$0.04200 \pm 0.00053$
$\|V_{cb}\|$	$0.03944 \pm 0.00059$
$\|V_{cb}\|$	$0.04218 \pm 0.00077$
$\alpha [^{\circ}]$	$94.5 \pm 4.0 \text{ and } 166.5 \pm 2.1$	$90.7 \pm 1.8$	$89.2 \pm 2.1$
$\beta [^{\circ}]$		$22.40 \pm 0.70$	$24.8 \pm 1.5$
$\gamma [^{\circ}]$	$71.0 \pm 5.0$	$66.9 \pm 1.8$	$66.1 \pm 1.9$
$J_{cp}\cdot10^{5}$			$3.097 \pm 0.077$
$2\beta+\gamma [^{\circ}]$	$-90 \pm 56 \text{ and } 94 \pm 52$	$111.7 \pm 2.1$	$111.8 \pm 2.1$
$\sin(2\beta)$	$0.687 \pm 0.020$	$0.703 \pm 0.016$	$0.761 \pm 0.035$
$\cos(2\beta)$	$0.88 \pm 0.11$	$0.709 \pm 0.017$	$0.644 \pm 0.040$
$\beta_{s} [^{\circ}]$	$1.94 \pm 0.63$		$1.063 \pm 0.033$
$m_{c}\mathrm{ [GeV/c^{2}]}$	$1.2889 \pm 0.0070$
$m_{b}\mathrm{ [GeV/c^{2}]}$	$4.191 \pm 0.014$
$m_{t}\mathrm{ [GeV/c^{2}]}$	$165.30 \pm 0.40$	$165.10 \pm 0.40$	$156.5 \pm 6.5$
$B_{k}$	$0.756 \pm 0.016$	$0.763 \pm 0.015$
$f_{B_{s}}$	$0.2301 \pm 0.0011$	$0.2296 \pm 0.0011$
$f_{B_{s}}/f_{B_{d}}$	$1.2079 \pm 0.0050$	$1.2079 \pm 0.0050$
$B_{B_{s}}/B_{B_{d}}$	$1.032 \pm 0.038$	$1.051 \pm 0.029$
$B_{B_{s}}$	$0.888 \pm 0.040$	$0.841 \pm 0.021$
$B_{k}$	$0.756 \pm 0.016$	$0.763 \pm 0.015$
$\|\epsilon_{k}\|\cdot 10^{3}$	$2.228 \pm 0.011$	$2.226 \pm 0.010$
$\Delta m_{s} \mathrm{[ps^{-1}]}$	$17.757 \pm 0.021$	$17.755 \pm 0.025$	$18.13 \pm 0.81$
$\Delta m_{d} \mathrm{[ps^{-1}]}$	$0.5064 \pm 0.0019$
$\Delta\Gamma_{d}/\Gamma_{d}$	$0.00100 \pm 0.00999$		$0.00527 \pm 0.00059$
$\Delta\Gamma_{s}/\Gamma_{s}$	$0.1280 \pm 0.0089$		$0.163 \pm 0.018$
$A_{SL_{d}}$	$-0.0020 \pm 0.0017$	$-0.000311 \pm 0.000031$	$-0.000311 \pm 0.000031$
$A_{SL_{s}}$	$-0.00059 \pm 0.00280$	$0.0000138 \pm 0.0000013$	$0.0000138 \pm 0.0000013$
$B(B\rightarrow\tau\nu)\cdot 10^{4}$	$1.09 \pm 0.24$	$0.861 \pm 0.047$	$0.853 \pm 0.048$
$\bar {B}(B_{s}\rightarrow ll)\cdot10^{9}$	$2.90 \pm 0.70$	$3.98 \pm 0.11$	$4.01 \pm 0.11$
$B(B_{d}\rightarrow ll)\cdot10^{9}$	$0.39 \pm 0.15$	$0.1104 \pm 0.0033$	$0.1106 \pm 0.0034$

CKM matrix thus looks like $V_{CKM}=\left(\begin{array}{ccc} (0.974344 \pm 0.000081) & (0.22504 \pm 0.00035) & (0.00365 \pm 0.00010)e^{i(-66.8 \pm 1.7)^\circ}\\ ( -0.22489 \pm 0.00035)e^{i(0.03504 \pm 0.00088)^\circ} & (0.973477 \pm 0.000082)e^{i(-0.001872 \pm 0.000044)^\circ} & (0.04199 \pm 0.00053) \\ (0.00865 \pm 0.00012)e^{i(-22.33 \pm 0.66)^\circ} & ( -0.04102 \pm 0.00048)e^{i(1.061 \pm 0.032)^\circ} & (0.999122 \pm 0.000019)\end{array}\right)$

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

$0.148 \pm 0.012$ 95% prob:[0.123, 0.174] 99% prob:[0.109, 0.187]
EPS - PDF - PNG - JPG - GIF

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

$0.350 \pm 0.010$ 95% prob:[0.329, 0.372] 99% prob:[0.319, 0.384]
EPS - PDF - PNG - JPG - GIF

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


EPS - PDF - PNG - JPG - GIF

Angles only result for $\,\bar{\rho} - \bar{\eta}$


EPS - PDF - PNG - JPG - GIF

Sides only result for $\,\bar{\rho} - \bar{\eta}$


EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\rho$

$0.152 \pm 0.013$ 95% prob:[0.126, 0.178] 99% prob:[0.112, 0.191]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\eta$

$0.360 \pm 0.011$ 95% prob:[0.338, 0.382] 99% prob:[0.327, 0.394]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,A$

$0.8244 \pm 0.0098$ 95% prob:[0.8046, 0.8445] 99% prob:[0.7946, 0.8544]
EPS - PDF - PNG - JPG - GIF

Fit Input for $\,\lambda$

$0.22564 \pm 0.00089$ 95% prob:[0.22386, 0.22742] 99% prob:[0.22287, 0.22831]
EPS - PDF - PNG - JPG - GIF

Prediction for $\,\lambda$

$0.22495 \pm 0.00035$ 95% prob:[0.22435, 0.22574] 99% prob:[0.22395, 0.22613]
EPS - PDF - PNG - JPG - GIF

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

$0.22495 \pm 0.00035$ 95% prob:[0.22435, 0.22574] 99% prob:[0.22395, 0.22613]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\sin\theta_{23}$

$0.04175 \pm 0.00048$ 95% prob:[0.04080, 0.04275] 99% prob:[0.04033, 0.04323]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\sin\theta_{13}$

$0.003675 \pm 0.000097$ 95% prob:[0.003486, 0.003873] 99% prob:[0.003392, 0.003972]
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,\delta [^{\circ}]$

$67.0 \pm 1.8$ 95% prob:[63.4, 70.8] 99% prob:[61.5, 72.8]
EPS - PDF - PNG - JPG - GIF

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

Gaussian likelihood used $0.00388 \pm 0.00026$
EPS - PDF - PNG - JPG - GIF

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

$0.003675 \pm 0.000097$ 95% prob:[0.003485, 0.003872] 99% prob:[0.003392, 0.003972]
EPS - PDF - PNG - JPG - GIF

SM Fit prediction for $\,\|V_{ub}\|$

$0.00365 \pm 0.00010$ 95% prob:[0.00344, 0.00385] 99% prob:[0.00335, 0.00396]
EPS - PDF - PNG - JPG - GIF

Compatibility Plot for $\,\|V_{ub}\|$

${\rm pull}(\|V_{ub}\|) = -0.9$
EPS - PDF - PNG - JPG - GIF

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

Gaussian likelihood used $0.0403 \pm 0.0012$
EPS - PDF - PNG - JPG - GIF

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

$0.04175 \pm 0.00048$ 95% prob:[0.04080, 0.04275] 99% prob:[0.04033, 0.04323]
EPS - PDF - PNG - JPG - GIF

SM Fit prediction for $\,\|V_{cb}\|$

$0.04200 \pm 0.00053$ 95% prob:[0.04097, 0.04313] 99% prob:[0.04039, 0.04346]
EPS - PDF - PNG - JPG - GIF

Compatibility Plot for $\,\|V_{cb}\|$

${\rm pull}(\|V_{cb}\|) = +1.1$
EPS - PDF - PNG - JPG - GIF

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

$94.5 \pm 4.0 \text{ and } 166.5 \pm 2.1$ 95% prob:[85.9, 103.8] U [162.1, 170.1] 99% prob:[80.7, 111.0] U [159.0, 159.4] U [160.1, 171.6]
EPS - PDF - PNG - JPG - GIF

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

$90.7 \pm 1.8$ 95% prob:[86.7, 94.2] 99% prob:[84.7, 96.0]
EPS - PDF - PNG - JPG - GIF

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

$89.2 \pm 2.1$ 95% prob:[85.0, 93.5] 99% prob:[83.0, 95.7]
EPS - PDF - PNG - JPG - GIF

Compatibility Plot for $\,\alpha [^{\circ}]$

${\rm pull}(\alpha ) = -1.2$
EPS - PDF - PNG - JPG - GIF

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

$22.40 \pm 0.70$ 95% prob:[21.02, 23.82] 99% prob:[20.35, 24.56]
EPS - PDF - PNG - JPG - GIF

SM Fit prediction for $\,\beta [^{\circ}]$

$24.8 \pm 1.5$ 95% prob:[21.8, 27.9] 99% prob:[20.6, 29.5]
EPS - PDF - PNG - JPG - GIF

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

$71.0 \pm 5.0$ 95% prob:[61.1, 81.2] 99% prob:[56.0, 86.0]
EPS - PDF - PNG - JPG - GIF

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

$66.9 \pm 1.8$ 95% prob:[63.3, 70.8] 99% prob:[61.6, 72.9]
EPS - PDF - PNG - JPG - GIF

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

$66.1 \pm 1.9$ 95% prob:[62.6, 70.4] 99% prob:[60.8, 72.5] U [72.7, 72.8]
EPS - PDF - PNG - JPG - GIF

Compatibility Plot for $\,\gamma [^{\circ}]$

${\rm pull}(\gamma ) = -1.0$
EPS - PDF - PNG - JPG - GIF

Full fit result for $\,J_{cp}\cdot10^{5}$

$3.097 \pm 0.077$ 95% prob:[2.946, 3.255] 99% prob:[2.875, 3.337]
EPS - PDF - PNG - JPG - GIF

Fit Input for $\,2\beta+\gamma [^{\circ}]$

$-90 \pm 56 \text{ and } 94 \pm 52$ 95% prob:[-166, 166] 99% prob:[-179, 179]
EPS - PDF - PNG - JPG - GIF

Full Fit result for $\,2\beta+\gamma [^{\circ}]$

$111.7 \pm 2.1$ 95% prob:[107.5, 116.2] 99% prob:[105.5, 118.5]
EPS - PDF - PNG - JPG - GIF

SM Fit prediction for $\,2\beta+\gamma [^{\circ}]$

$111.8 \pm 2.1$ 95% prob:[107.7, 116.4] 99% prob:[105.5, 118.5]
EPS - PDF - PNG - JPG - GIF

Compatibility Plot for $\,2\beta+\gamma [^{\circ}]$

${\rm pull}(2\beta+\gamma ) = +0.3$
EPS - PDF - PNG - JPG - GIF

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 $\,\sin(2\beta)$

$0.703 \pm 0.016$ 95% prob:[0.670, 0.739] 99% prob:[0.653, 0.757]
EPS - PDF - PNG - JPG - GIF

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

$0.761 \pm 0.035$ 95% prob:[0.693, 0.831] 99% prob:[0.659, 0.861]
EPS - PDF - PNG - JPG - GIF

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

${\rm pull}(sin(2\beta)) = +1.8$
EPS - PDF - PNG - JPG - GIF

Fit Input for $\,\cos(2\beta)$

$0.88 \pm 0.11$ 95% prob:[0.54, 0.99] 99% prob:[0.31, 0.99]
EPS - PDF - PNG - JPG - GIF

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

$0.709 \pm 0.017$ 95% prob:[0.674, 0.743] 99% prob:[0.654, 0.758]
EPS - PDF - PNG - JPG - GIF

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

$0.644 \pm 0.040$ 95% prob:[0.562, 0.724] 99% prob:[0.516, 0.754]
EPS - PDF - PNG - JPG - GIF

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

${\rm pull}(cos(2\beta)) = -2.0$
EPS - PDF - PNG - JPG - GIF

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

$1.94 \pm 0.63$ 95% prob:0 99% prob:0
EPS - PDF - PNG - JPG - GIF

Prediction for $\,\beta_{s} [^{\circ}]$

$1.063 \pm 0.033$ 95% prob:[1.000, 1.131] 99% prob:[0.969, 1.167]
EPS - PDF - PNG - JPG - GIF

Fit Input for $\,m_{t}\mathrm{ [GeV/c^{2}]}$

Gaussian likelihood used $165.30 \pm 0.40$
EPS - PDF - PNG - JPG - GIF

Full Fit result for $\,m_{t}\mathrm{ [GeV/c^{2}]}$

$165.10 \pm 0.40$ 95% prob:[164.50, 166.10] 99% prob:[164.10, 166.50]
EPS - PDF - PNG - JPG - GIF

SM Fit prediction for $\,m_{t}\mathrm{ [GeV/c^{2}]}$

$156.5 \pm 6.5$ 95% prob:[144.3, 169.5] 99% prob:[139.5, 177.5]
EPS - PDF - PNG - JPG - GIF

Compatibility Plot for $\,m_{t}\mathrm{ [GeV/c^{2}]}$

${\rm pull}(m_{t} ) = -1.3$
EPS - PDF - PNG - JPG - GIF

Fit Input for $\,B_{k}$

$0.756 \pm 0.016$ 95% prob:[0.725, 0.788] 99% prob:[0.709, 0.804]
EPS - PDF - PNG - JPG - GIF

Full Fit result for $\,B_{k}$

$0.763 \pm 0.015$ 95% prob:[0.733, 0.795] 99% prob:[0.718, 0.810]
EPS - PDF - PNG - JPG - GIF

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

Gaussian likelihood used $0.2301 \pm 0.0011$
EPS - PDF - PNG - JPG - GIF

Full Fit result for $\,f_{B_{s}}$

$0.2296 \pm 0.0011$ 95% prob:[0.2273, 0.2322] 99% prob:[0.2265, 0.2332]
EPS - PDF - PNG - JPG - GIF

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

Gaussian likelihood used $1.2079 \pm 0.0050$
EPS - PDF - PNG - JPG - GIF

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

$1.2079 \pm 0.0050$ 95% prob:[1.1990, 1.2180] 99% prob:[1.1939, 1.2230]
EPS - PDF - PNG - JPG - GIF

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

Gaussian likelihood used $1.032 \pm 0.038$
EPS - PDF - PNG - JPG - GIF

Full Fit result for $\,B_{B_{s}}/B_{B_{d}}$

$1.051 \pm 0.029$ 95% prob:[0.994, 1.111] 99% prob:[0.966, 1.143]
EPS - PDF - PNG - JPG - GIF

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

Gaussian likelihood used $0.888 \pm 0.040$
EPS - PDF - PNG - JPG - GIF

Full Fit result for $\,B_{B_{s}}$

$0.841 \pm 0.021$ 95% prob:[0.800, 0.883] 99% prob:[0.781, 0.905]
EPS - PDF - PNG - JPG - GIF

Fit Input for $\,B_{k}$

$0.756 \pm 0.016$ 95% prob:[0.725, 0.788] 99% prob:[0.709, 0.804]
EPS - PDF - PNG - JPG - GIF

Full Fit result for $\,B_{k}$

$0.763 \pm 0.015$ 95% prob:[0.733, 0.795] 99% prob:[0.718, 0.810]
EPS - PDF - PNG - JPG - GIF

Fit Input for $\,\|\epsilon_{k}\|\cdot 10^{3}$

$2.228 \pm 0.011$ 95% prob:[2.206, 2.251] 99% prob:[2.196, 2.258]
EPS - PDF - PNG - JPG - GIF

Full Fit result for $\,\|\epsilon_{k}\|\cdot 10^{3}$

$2.226 \pm 0.010$ 95% prob:[2.205, 2.248] 99% prob:[2.194, 2.259]
EPS - PDF - PNG - JPG - GIF

SM Fit prediction for $\,\|\epsilon_{k}\|\cdot 10^{3}$

95% prob:0 99% prob:0
EPS - PDF - PNG - JPG - GIF

Compatibility Plot for $\,\|\epsilon_{k}\|\cdot 10^{3}$

${\rm pull}(\|\epsilon_{k}\|\cdot 10^{3}) = -$
EPS - PDF - PNG - JPG - GIF

Fit Input for $\,\Delta m_{s} \mathrm{[ps^{-1}]}$

Gaussian likelihood used $17.757 \pm 0.021$
EPS - PDF - PNG - JPG - GIF

Full Fit result for $\,\Delta m_{s} \mathrm{[ps^{-1}]}$

$17.755 \pm 0.025$ 95% prob:[17.714, 17.797] 99% prob:[17.693, 17.819]
EPS - PDF - PNG - JPG - GIF

SM Fit prediction for $\,\Delta m_{s} \mathrm{[ps^{-1}]}$

$18.13 \pm 0.81$ 95% prob:[16.48, 19.80] 99% prob:[15.66, 20.72]
EPS - PDF - PNG - JPG - GIF

Fit Input for $\,\Delta\Gamma_{d}/\Gamma_{d}$

$0.00100 \pm 0.00999$ 95% prob:0 99% prob:0
EPS - PDF - PNG - JPG - GIF

Prediction for $\,\Delta\Gamma_{d}/\Gamma_{d}$

$0.00527 \pm 0.00059$ 95% prob:[0.00424, 0.00653] 99% prob:[0.00408, 0.00700]
EPS - PDF - PNG - JPG - GIF

Fit Input for $\,\Delta\Gamma_{s}/\Gamma_{s}$

$0.1280 \pm 0.0089$ 95% prob:0 99% prob:0
EPS - PDF - PNG - JPG - GIF

Prediction for $\,\Delta\Gamma_{s}/\Gamma_{s}$

$0.163 \pm 0.018$ 95% prob:[0.130, 0.203] 99% prob:[0.122, 0.225]
EPS - PDF - PNG - JPG - GIF

Fit Input for $\,A_{SL_{d}}$

Gaussian likelihood used $-0.0020 \pm 0.0017$
EPS - PDF - PNG - JPG - GIF

Full Fit result for $\,A_{SL_{d}}$

$-0.000311 \pm 0.000031$ 95% prob:[-0.000387, -0.000258] 99% prob:[-0.000427, -0.000244]
EPS - PDF - PNG - JPG - GIF

SM Fit prediction for $\,A_{SL_{d}}$

$-0.000311 \pm 0.000031$ 95% prob:[-0.000387, -0.000258] 99% prob:[-0.000427, -0.000244]
EPS - PDF - PNG - JPG - GIF

Compatibility Plot for $\,A_{SL_{d}}$

${\rm pull}(A_{SL_{d}}) = +1.0$
EPS - PDF - PNG - JPG - GIF

Fit Input for $\,A_{SL_{s}}$

Gaussian likelihood used $-0.00059 \pm 0.00280$
EPS - PDF - PNG - JPG - GIF

Full Fit result for $\,A_{SL_{s}}$

$0.0000138 \pm 0.0000013$ 95% prob:[0.0000115, 0.0000172] 99% prob:[0.0000109, 0.0000191]
EPS - PDF - PNG - JPG - GIF

SM Fit prediction for $\,A_{SL_{s}}$

$0.0000138 \pm 0.0000013$ 95% prob:[0.0000115, 0.0000172] 99% prob:[0.0000109, 0.0000191]
EPS - PDF - PNG - JPG - GIF

Compatibility Plot for $\,A_{SL_{s}}$

${\rm pull}(A_{SL_{s}}) = +0.2$
EPS - PDF - PNG - JPG - GIF

Fit Input for $\,B(B\rightarrow\tau\nu)\cdot 10^{4}$

Gaussian likelihood used $1.09 \pm 0.24$
EPS - PDF - PNG - JPG - GIF

Full Fit result for $\,B(B\rightarrow\tau\nu)\cdot 10^{4}$

$0.861 \pm 0.047$ 95% prob:[0.770, 0.959] 99% prob:[0.729, 1.012]
EPS - PDF - PNG - JPG - GIF

SM Fit prediction for $\,B(B\rightarrow\tau\nu)\cdot 10^{4}$

$0.853 \pm 0.048$ 95% prob:[0.761, 0.950] 99% prob:[0.719, 1.004]
EPS - PDF - PNG - JPG - GIF

Compatibility Plot for $\,B(B\rightarrow\tau\nu)\cdot 10^{4}$

| %${\rm pull}(B(B\rightarrow\tau u)\cdot 10^{4}) = -1.0$%

|

EPS - PDF - PNG - JPG - GIF

Webs
System
UTfit

Ideas, requests, problems regarding this web site? Send feedback