Difference: ResultsWinter2011PostLP (1 vs. 4)

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26 Mar 2012 - Main.DenisDerkach
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Fit results: Winter 2011 (post-LP11)

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Fit results: Winter 2012 (post-LP11)

 

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Revision 3
04 Mar 2012 - Main.DenisDerkach
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Fit results: Winter 2011 (post-LP11)

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Parameter Input value Full fit SM Prediction
\bar{\rho} - 0.131 \pm 0.022 -
\bar{\eta} - 0.354 \pm 0.015 -
\rho - 0.134 \pm 0.022 -
\eta - 0.363 \pm 0.015 -
A - 0.817 \pm 0.015 -
\lambda 0.225 \pm 0.0023 0.2252 \pm 0.001 -
|V_{ub}| 0.00382 \pm 0.00056 0.00362 \pm 0.00014 0.00361 \pm 0.00014
|V_{cb}| 0.041 \pm 0.001 0.0415 \pm 0.00072 -
\sin\theta_{12} - 0.2252 \pm 0.001 -
\sin\theta_{23} - 0.04146 \pm 0.00081 -
\sin\theta_{13} - 0.00362 \pm 0.00014 -
\delta, [^{\circ}] - 69.7 \pm 3.1 -
m_b\mathrm{ [GeV/c^{2}]} 4.21 \pm 0.08 - -
m_c\mathrm{ [GeV/c^{2}]} 1.3 \pm 0.1 - -
m_{t}\mathrm{ [GeV/c^{2}]} 164.1 \pm 0.9 164.05 \pm 0.95 153 \pm 11
\Delta m_{s} [\mathrm{ ps}^{-1}] 17.7 \pm 0.08 17.71 \pm 0.08 19.0 \pm 1.5
\Delta m_{d} [\mathrm{ ps}^{-1}] 0.507 \pm 0.004 - -
\Delta m_{K} [\mathrm{ ps}^{-1}] 1.8 \pm 1.8 - -
f_{B_{s}} 0.25 \pm 0.012 0.2348 \pm 0.0065 0.2291 \pm 0.0071
f_{B_{s}}/f_{B_{d}} 1.215 \pm 0.019 1.216 \pm 0.018 1.219 \pm 0.054
B_{B_{s}}/B_{B_{d}} 1.05 \pm 0.07 1.08 \pm 0.05 1.113 \pm 0.074
B_{B_{s}} 0.87 \pm 0.04 0.835 \pm 0.038 0.684 \pm 0.068
B_{k} 0.731 \pm 0.035 0.753 \pm 0.033 0.872 \pm 0.094
\alpha [^{\circ}] 91.6 \pm 6.1 88.0 \pm 3.0 85.8 \pm 3.9
\beta [^{\circ}] - 22.12 \pm 0.91 26.4 \pm 2.3
\sin(2\beta) 0.679 \pm 0.024 0.697 \pm 0.024 0.8 \pm 0.05
\cos(2\beta) 0.87 \pm 0.13 0.718 \pm 0.024 0.607 \pm 0.059
2\beta+\gamma [^{\circ}] -90 \pm 54 \text{ and } 90 \pm 54 114.2 \pm 3.8 114.5 \pm 3.8
\gamma [^{\circ}] -103.9 \pm 9.2 \text{ and } 75.7 \pm 9.2 69.7 \pm 3.1 68.5 \pm 3.2
|\epsilon_{k}| 0.00222 \pm 0.00002 0.00222 \pm 0.00001 -
B(B\rightarrow\tau\nu) 10^{-4} 1.64 \pm 0.34 0.876 \pm 0.095 0.831 \pm 0.093
J_{cp} 10^{-5} - 3.11 \pm 0.14 -
B(B_{s}\to l l), 10^{-9} - 3.54 \pm 0.28 -

The fit results for all the nine CKM elements are V=\left(\begin{array}{ccc} (0.97427 \pm 0.00012) & (0.22545 \pm 0.00059) & (0.00362 \pm 0.00014)e^{i(-70.0 \pm 3.1)^\circ}\\ ( -0.22525 \pm 0.00059)e^{i(0.0349 \pm 0.0015)^\circ} & (0.97338 \pm 0.00012) & (0.0415 \pm 0.00072) \\ (0.00881 \pm 0.00025)e^{i(-22.13 \pm 0.8)^\circ} & ( -0.04072 \pm 0.0007)e^{i(1.075 \pm 0.044)^\circ} & (0.999136 \pm 0.00002)\end{array}\right)




Full fit result for \,\bar{\rho}
0.131 \pm 0.022
95% prob:[0.089, 0.174]
99% prob:[0.066, 0.193]
EPS - PDF - PNG - JPG - GIF



Full fit result for \,\bar{\eta}
0.354 \pm 0.015
95% prob:[0.325, 0.384]
99% prob:[0.313, 0.400]
EPS - PDF - PNG - JPG - GIF



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



EPS - PDF - PNG - JPG - GIF




Full fit result for \,\rho
0.134 \pm 0.022
95% prob:[0.091, 0.178]
99% prob:[0.069, 0.202]
EPS - PDF - PNG - JPG - GIF



Full fit result for \,\eta
0.363 \pm 0.015
95% prob:[0.333, 0.394]
99% prob:[0.32, 0.409]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,A
0.817 \pm 0.015
95% prob:[0.787, 0.846]
99% prob:[0.775, 0.86] U [0.863, 0.867]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,\lambda
0.225 \pm 0.0023
95% prob:[0.2206, 0.2295]
99% prob:[0.2194, 0.2306]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,\lambda
0.2252 \pm 0.001
95% prob:[0.2234, 0.2274]
99% prob:[0.223, 0.2282]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,|V_{ub}|
0.00382 \pm 0.00056
95% prob:[0.00282, 0.00523]
99% prob:[0.00230, 0.00581]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,|V_{ub}|
0.00362 \pm 0.00014
95% prob:[0.00336, 0.00391]
99% prob:[0.00324, 0.00407]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,|V_{ub}|
0.00361 \pm 0.00014
95% prob:[0.00334, 0.00390]
99% prob:[0.00321, 0.00406]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,|V_{ub}|



EPS - PDF - PNG - JPG - GIF




Fit Input for \,|V_{cb}|
0.041 \pm 0.001
95% prob:[0.039, 0.043]
99% prob:[0.03802, 0.04402]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,|V_{cb}|
0.0415 \pm 0.00072
95% prob:[0.04008, 0.04293]
99% prob:[0.03939, 0.04367]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,\sin\theta_{12}
0.2252 \pm 0.001
95% prob:[0.2234, 0.2274]
99% prob:[0.223, 0.2282]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,\sin\theta_{23}
0.04146 \pm 0.00081
95% prob:[0.03999, 0.04309]
99% prob:[0.03933, 0.04375]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,\sin\theta_{13}
0.00362 \pm 0.00014
95% prob:[0.00335, 0.00392]
99% prob:[0.00322, 0.00407]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,\delta [^{\circ}]
69.7 \pm 3.1
95% prob:[63.5, 75.9]
99% prob:[60.2, 78.8]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,m_{t}\mathrm{ [GeV/c^{2}]}
Gaussian likelihood used
164.1 \pm 0.9
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,m_{t}\mathrm{ [GeV/c^{2}]}
164.05 \pm 0.95
95% prob:[162, 166.] U [169., 170]
99% prob:[161., 166.] U [168., 170]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,m_{t}\mathrm{ [GeV/c^{2}]}
153 \pm 11
95% prob:[132.8, 177.2]
99% prob:[130, 191.1] U [197.4, 200]
EPS - PDF - PNG - JPG - GIF



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



EPS - PDF - PNG - JPG - GIF




Fit Input for \,\Delta m_{s} \mathrm{[ ps^{-1}]}
Gaussian likelihood used
17.7 \pm 0.08
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,\Delta m_{s} \mathrm{[ ps^{-1}]}
17.71 \pm 0.08
95% prob:[17.54, 17.87]
99% prob:[17.45, 17.92]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,\Delta m_{s} \mathrm{[ ps^{-1}]}
19.0 \pm 1.5
95% prob:[16.1, 22.1]
99% prob:[14.8, 23.9]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,\Delta m_{s} \mathrm{[ ps^{-1}]}



EPS - PDF - PNG - JPG - GIF




Fit Input for \,f_{B_{s}}
Gaussian likelihood used
0.25 \pm 0.012
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,f_{B_{s}}
0.23475 \pm 0.00645
95% prob:[0.2221, 0.2479]
99% prob:[0.2164, 0.2553]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,f_{B_{s}}
0.2291 \pm 0.0071
95% prob:[0.2156, 0.2440]
99% prob:[0.2097, 0.2517]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,f_{B_{s}}



EPS - PDF - PNG - JPG - GIF




Fit Input for \,f_{B_{s}}/f_{B_{d}}
Gaussian likelihood used
1.215 \pm 0.019
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,f_{B_{s}}/f_{B_{d}}
1.2155 \pm 0.0175
95% prob:[1.180, 1.251]
99% prob:[1.162, 1.268]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,f_{B_{s}}/f_{B_{d}}
1.219 \pm 0.054
95% prob:[1.115, 1.327]
99% prob:[1.078, 1.387]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,f_{B_{s}}/f_{B_{d}}



EPS - PDF - PNG - JPG - GIF




Fit Input for \,B_{B_{s}}/B_{B_{d}}
Gaussian likelihood used
1.05 \pm 0.07
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,B_{B_{s}}/B_{B_{d}}
1.08 \pm 0.05
95% prob:[0.981, 1.181]
99% prob:[0.933, 1.234]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,B_{B_{s}}/B_{B_{d}}
1.1125 \pm 0.0735
95% prob:[0.968, 1.262]
99% prob:[0.904, 1.350]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,B_{B_{s}}/B_{B_{d}}



EPS - PDF - PNG - JPG - GIF




Fit Input for \,B_{B_{s}}
Gaussian likelihood used
0.87 \pm 0.04
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,B_{B_{s}}
0.8345 \pm 0.0375
95% prob:[0.761, 0.910]
99% prob:[0.723, 0.948]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,B_{B_{s}}
0.6835 \pm 0.0675
95% prob:[0.56300, 0.83900]
99% prob:[0.51100,0.93800]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,B_{B_{s}}



EPS - PDF - PNG - JPG - GIF




Fit Input for \,B_{k}
0.7305 \pm 0.0345
95% prob:[0.661, 0.800]
99% prob:[0.627, 0.836]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,B_{k}
0.7525 \pm 0.0325
95% prob:[0.688, 0.818]
99% prob:[0.656, 0.851]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,B_{k}
0.872 \pm 0.094
95% prob:[0.699, 1.080]
99% prob:[0.628, 1.203]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,B_{k}



EPS - PDF - PNG - JPG - GIF




Fit Input for \,\alpha [^{\circ}]
91.4 \pm 6.1
95% prob:[75.8, 110.]
99% prob:[71.9, 115.] U [162., 180]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,\alpha [^{\circ}]
88.0 \pm 3.0
95% prob:[82.1, 94.3]
99% prob:[79.3, 97.6]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,\alpha [^{\circ}]
85.8 \pm 3.9
95% prob:[78, 93.9]
99% prob:[74.2, 97.9]
EPS - PDF - PNG - JPG - GIF



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



EPS - PDF - PNG - JPG - GIF




Full Fit result for \,\beta [^{\circ}]
22.12 \pm 0.91
95% prob:[20.4, 24.0]
99% prob:[19.6, 25.1]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,\beta [^{\circ}]
26.4 \pm 2.3
95% prob:[21.8, 31.1]
99% prob:[19.7, 33.6]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,\sin(2\beta)
0.679 \pm 0.024
95% prob:[0.634, 0.729]
99% prob:[0.612, 0.755]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,\sin(2\beta)
0.697 \pm 0.024
95% prob:[0.654, 0.746]
99% prob:[0.639, 0.77]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,\sin(2\beta)
0.8 \pm 0.05
95% prob:[0.689, 0.895] U [0.998, 1]
99% prob:[0.642, 0.928] U [0.963, 1]
EPS - PDF - PNG - JPG - GIF



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



EPS - PDF - PNG - JPG - GIF




Fit Input for \,\cos(2\beta)
0.87 \pm 0.13
95% prob:[0.44, 1]
99% prob:[0.12, 1]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,\cos(2\beta)
0.718 \pm 0.024
95% prob:[0.668, 0.759]
99% prob:[0.647, 0.772]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,\cos(2\beta)
0.607 \pm 0.059
95% prob:[0.5, 0.706]
99% prob:[0.5, 0.76]
EPS - PDF - PNG - JPG - GIF



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



EPS - PDF - PNG - JPG - GIF




Fit Input for \,2\beta+\gamma [^{\circ}]
-90 \pm 54 \text{ and } 90 \pm 54
95% prob:[-172, -5.4] U [5.4, 171.]
99% prob:[-180, 178]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,2\beta+\gamma [^{\circ}]
114.2 \pm 3.8
95% prob:[106.8, 121.3]
99% prob:[103.3, 124.7]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,2\beta+\gamma [^{\circ}]
114.5 \pm 3.8
95% prob:[107, 121.5]
99% prob:[103.5, 124.9]
EPS - PDF - PNG - JPG - GIF



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



EPS - PDF - PNG - JPG - GIF




Fit Input for \,\gamma [^{\circ}]
-103.9 \pm 9.2 \text{ and } 75.7 \pm 9.2
95% prob:[-123, -85.] U [57, 94.5]
99% prob:[-133, -76] U [47.8, 48.1] U [49.6, 103.]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,\gamma [^{\circ}]
69.7 \pm 3.1
95% prob:[63.4, 75.9]
99% prob:[60.3, 78.9]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,\gamma [^{\circ}]
68.5 \pm 3.2
95% prob:[62, 75.4]
99% prob:[59, 78.6]
EPS - PDF - PNG - JPG - GIF



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



EPS - PDF - PNG - JPG - GIF




Fit Input for \,|\epsilon_{k}|
0.00222194 \pm 0.00002
95% prob:[0.00218345, 0.00226243]
99% prob:[0.00218045, 0.00229243]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,|\epsilon_{k}|
0.00222904 \pm 0.00002
95% prob:[0.0021996, 0.00225449]
99% prob:[0.00219162, 0.00226547]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,B(B\rightarrow\tau
u) 10^{-4}
Gaussian likelihood used
1.64 \pm 0.34
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,B(B\rightarrow\tau
u) 10^{-4}
0.876 \pm 0.095
95% prob:[0.695, 1.06]
99% prob:[0.654, 1.134]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,B(B\rightarrow\tau
u) 10^{-4}
0.831 \pm 0.093
95% prob:[0.664, 1.012]
99% prob:[0.623, 1.108]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,B(B\rightarrow\tau
u) 10^{-4}



EPS - PDF - PNG - JPG - GIF




Full fit result for \,J_{cp} 10^{-5}
3.11 \pm 0.14
95% prob:[2.83, 3.38]
99% prob:[2.74, 3.49]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,B(B_{s}\to l l), 10^{-9}
3.54 \pm 0.28
95% prob:[3, 4.13]
99% prob:[2.77, 4.44]
EPS - PDF - PNG - JPG - GIF

woops, ordering error: got an ENDTWISTY before seeing a TWISTY
Added:
>
>

In principle, the presence of New Physics might affect the result of the UT analysis, changing the functional dependencies of the experimental quantities upon ρ and η. On the contrary, two constraints now available, are almost unchanged by the presence of NP: |Vub/Vcb| from semileptonic B decays and the UT angle γ from B → D(*)K decays. As usual from this fit one can gets predictions for each observable related to the Unitarity Triangle. This set of values is the minimal requirement that each model describing New Physics has to satisfy in order to be taken as a realistic description of physics beyond the Standard Model.

Parameter Input value Full fit
\bar{\rho} - 0.089 \pm 0.061
\bar{\eta} - 0.385 \pm 0.057
\rho - 0.091 \pm 0.062
\eta - 0.395 \pm 0.058
A - 0.807 \pm 0.02
\lambda - 0.22535 \pm 0.00065
\alpha, [^{\circ}] - 80.2 \pm 9.1
\beta, [^{\circ}] - 23.1 \pm 3.4
\sin(2\beta) - 0.727 \pm 0.082
\gamma, [^{\circ}] -103.9 \pm 8.9 \text{ and } 75.7 \pm 9.2 75.9 \pm 9.1

The fit results for all the nine CKM elements are V_{CKM}=\left(\begin{array}{ccc} (0.97427 \pm 0.00014) & (0.22537 \pm 0.00063) & (0.00382 \pm 0.00054)e^{i(-76.1 \pm 8.3)^\circ}\\ ( -0.22517 \pm 0.00063)e^{i(0.037 \pm 0.005)^\circ} & (0.97345 \pm 0.00015) & (0.04099 \pm 0.001) \\ (0.00921 \pm 0.00053 \text{ and } 0.01056 \pm 0.00057)e^{i(-23.0 \pm 3.0)^\circ} & ( -0.03996 \pm 0.001)e^{i(1.17 \pm 0.12)^\circ} & (0.999152 \pm 4.05\times 10^{-5})\end{array}\right)




Full fit result for \,\bar{\rho}
0.089 \pm 0.061
95% prob:[0, 0.208]
99% prob:[0, 0.284]
EPS - PDF - PNG - JPG - GIF



Full fit result for \,\bar{\eta}
0.385 \pm 0.057
95% prob:[0.279, 0.493]
99% prob:[0.226, 0.5]
EPS - PDF - PNG - JPG - GIF



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



EPS - PDF - PNG - JPG - GIF




Full fit result for \,\rho
0.091 \pm 0.062
95% prob:[0, 0.213]
99% prob:[0, 0.291]
EPS - PDF - PNG - JPG - GIF



Full fit result for \,\eta
0.395 \pm 0.058
95% prob:[0.291, 0.5]
99% prob:[0.231, 0.5]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,A
0.807 \pm 0.02
95% prob:[0.767, 0.847]
99% prob:[0.747, 0.868]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,\lambda
0.22535 \pm 0.00065
95% prob:[0.2241, 0.2267]
99% prob:[0.2235, 0.2273]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,\alpha, [^{\circ}]
80.2 \pm 9.1
95% prob:[63.7, 99.3]
99% prob:[60, 109]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,\beta, [^{\circ}]
23.1 \pm 3.4
95% prob:[16.4, 29.9]
99% prob:[15, 32.9]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,\sin(2\beta)
0.727 \pm 0.082
95% prob:[0.556, 0.875]
99% prob:[0.5, 0.916]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,\gamma, [^{\circ}]
-103.9 \pm 8.9 \text{ and } 75.7 \pm 9.2
95% prob:[-122, -86.] U [57.6, 93.6]
99% prob:[-131, -78] U [48.5, 102.]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,\gamma, [^{\circ}]
75.9 \pm 9.1
95% prob:[57.5, 93.7]
99% prob:[48.5, 102.]
EPS - PDF - PNG - JPG - GIF

It is possible to generalize the full UTfit beyond the Standard Model to all those NP models characterized by Minimal Flavour Violation, i.e. having quark mixing ruled only by the Standard Model CKM couplings (http://arxiv.org/abs/hep-ph/0007085). In fact, in this case no additional weak phases are generated and several observables entering into the Standard Model fit (the tree-level processes and the measurement of angles through the use of time dependent CP asymmetries) are not affected by the presence of New Physics. The only sizable effect we are sensitive to is a shift of the Inami-Lim function of the top contribution in meson mixing. This means that in general εK and Δmd cannot be used in a common SM and MFV framework. Also the ratio Δmd/Δms cannot be used in general, as Δms can get additional NP contributions at large tanβ. So, simply removing the information related to εK, Δmd and Δms from the full UTfit, one can obtain a more precise determination of the Universal Unitarity Triangle, which is a common starting point for the Standard Model and any MFV model.

Parameter Input value Full fit
\bar{\rho} - 0.132 \pm 0.027
\bar{\eta} - 0.34 \pm 0.015
\rho - 0.135 \pm 0.028
\eta - 0.349 \pm 0.016
A - 0.809 \pm 0.02
\lambda 0.2253 \pm 0.0011 0.22545 \pm 0.00065
\alpha, [^{\circ}] 91.4 \pm 6.1 89.8 \pm 4.2
\beta, [^{\circ}] - 21.4 \pm 0.88
\sin(2\beta) 0.68 \pm 0.023 0.68 \pm 0.022
\gamma, [^{\circ}] -103.9 \pm 8.9 \text{ and } 75.7 \pm 9.2 68.7 \pm 4.3

The fit results for all the nine CKM elements are V_{CKM}=\left(\begin{array}{ccc} (0.97427 \pm 0.00014) & (0.22537 \pm 0.00063) & (0.00348 \pm 0.00016)e^{i(-68.8 \pm 4.2)^\circ}\\ ( -0.22527 \pm 0.00063)e^{i(0.0329 \pm 0.0021)^\circ} & (0.97344 \pm 0.00015) & (0.04112 \pm 0.00098) \\ (0.00864 \pm 0.00033)e^{i(-21.33 \pm 0.87)^\circ} & ( -0.04035 \pm 0.00096)e^{i(1.034 \pm 0.048)^\circ} & (0.999149 \pm 4.05\times 10^{-5})\end{array}\right)




Full fit result for \,\bar{\rho}
0.132 \pm 0.027
95% prob:[0.078, 0.188]
99% prob:[0.052, 0.221]
EPS - PDF - PNG - JPG - GIF



Full fit result for \,\bar{\eta}
0.34 \pm 0.015
95% prob:[0.310, 0.372]
99% prob:[0.296, 0.390]
EPS - PDF - PNG - JPG - GIF



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



EPS - PDF - PNG - JPG - GIF




Full fit result for \,\rho
0.135 \pm 0.028
95% prob:[0.080, 0.193]
99% prob:[0.053, 0.227]
EPS - PDF - PNG - JPG - GIF



Full fit result for \,\eta
0.349 \pm 0.016
95% prob:[0.318, 0.382]
99% prob:[0.304, 0.401]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,A
0.809 \pm 0.02
95% prob:[0.769, 0.849]
99% prob:[0.75, 0.87]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,\lambda
0.2253 \pm 0.0011
95% prob:[0.2231, 0.2273]
99% prob:[0.222, 0.228]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,\lambda
0.22545 \pm 0.00065
95% prob:[0.2241, 0.2267]
99% prob:[0.2236, 0.2274]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,\alpha, [^{\circ}]
91.4 \pm 6.1
95% prob:[81, 102.] U [161., 169]
99% prob:[76.8, 108.] U [157., 171.]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,\alpha, [^{\circ}]
89.8 \pm 4.2
95% prob:[81.2, 98.5]
99% prob:[76.9, 103.]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,\beta, [^{\circ}]
21.4 \pm 0.88
95% prob:[19.7, 23.2]
99% prob:[18.9, 24.3]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,\sin(2\beta)
0.68 \pm 0.023
95% prob:[0.635, 0.729]
99% prob:[0.613, 0.755]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,\sin(2\beta)
0.68 \pm 0.022
95% prob:[0.637, 0.727]
99% prob:[0.616, 0.752]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,\gamma, [^{\circ}]
-103.9 \pm 8.9 \text{ and } 75.7 \pm 9.2
95% prob:[-122, -86.] U [57.6, 93.6]
99% prob:[-131, -78] U [48.5, 102.]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,\gamma, [^{\circ}]
68.7 \pm 4.3
95% prob:[60, 77.4]
99% prob:[55, 81.8]
EPS - PDF - PNG - JPG - GIF

 

%TWISTY{ mode="div"
Line: 55 to 85
 

Click on the parameter name to jump to the corresponding plot
Added:
>
>

 

Parameter Input value Full fit
\bar{\rho} - 0.134 \pm 0.044
\bar{\eta} - 0.403 \pm 0.058
\rho - 0.137 \pm 0.045
\eta - 0.439 \pm 0.058
A - 0.804 \pm 0.021
\lambda 0.225 \pm 0.0023 0.22515 \pm 0.00095
C_{B_{d}} - 0.81 \pm 0.12
\phi_{B_{d}} [^{\circ}] - -3.4 \pm 3.7
C_{B_{s}} - 0.87 \pm 0.1
\phi_{B_{s}} [^{\circ}] - -6.9 \pm 5.6
C_{\epsilon_{K}} - 0.99 \pm 0.17
A_{SL_{d}} - -0.0051 \pm 0.0023
A_{SL_{s}} - -0.0017 \pm 0.0012

The fit results for all the nine CKM elements are V_{CKM}=\left(\begin{array}{ccc} (0.97427 \pm 0.00012) & (0.22535 \pm 0.00059) & (0.00397 \pm 0.00052)e^{i(-70.8 \pm 4.9)^\circ}\\ ( -0.22525 \pm 0.00059)e^{i(0.0376 \pm 0.0047)^\circ} & (0.97347 \pm 0.00015) & (0.04082 \pm 0.00097) \\ (0.00877 \pm 0.00041)e^{i(-24.5 \pm 2.7)^\circ} & ( -0.04009 \pm 0.00095)e^{i(1.19 \pm 0.11)^\circ} & (0.99916 \pm 3.6\times 10^{-5})\end{array}\right)




Full fit result for \,\bar{\rho}
0.134 \pm 0.044
95% prob:[0.052, 0.240] U [0.389, 0.4]
99% prob:[0.033, 0.286] U [0.340, 0.4]
EPS - PDF - PNG - JPG - GIF



Full fit result for \,\bar{\eta}
0.403 \pm 0.058
95% prob:[0.297, 0.498]
99% prob:[0.234, 0.5]
EPS - PDF - PNG - JPG - GIF



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



EPS - PDF - PNG - JPG - GIF




Full fit result for \,\rho
0.137 \pm 0.045
95% prob:[0.055, 0.246] U [0.384, 0.4]
99% prob:[0.034, 0.291] U [0.338, 0.4]
EPS - PDF - PNG - JPG - GIF



Full fit result for \,\eta
0.439 \pm 0.058
95% prob:[0.309, 0.5]
99% prob:[0.242, 0.5]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,A
0.804 \pm 0.021
95% prob:[0.764, 0.844]
99% prob:[0.747, 0.862] U [0.863, 0.865]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,\lambda
0.225 \pm 0.0023
95% prob:[0.2206, 0.2295]
99% prob:[0.2194, 0.2306]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,\lambda
0.22515 \pm 0.00095
95% prob:[0.2234, 0.2272]
99% prob:[0.223, 0.2279]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,C_{B_{d}}
0.81 \pm 0.12
95% prob:[0.59, 1.09]
99% prob:[0.53, 1.28]
EPS - PDF - PNG - JPG - GIF



Full fit result for \,\phi_{B_{d}} [^{\circ}]
-3.4 \pm 3.7
95% prob:[-10, 3.9]
99% prob:[-14, 7.5]
EPS - PDF - PNG - JPG - GIF



correlations for \,\Phi_{B_{d}} - C_{B_{d}}



EPS - PDF - PNG - JPG - GIF




Full fit result for \,C_{B_{s}}
0.87 \pm 0.1
95% prob:[0.67, 1.07]
99% prob:[0.59, 1.17]
EPS - PDF - PNG - JPG - GIF



Full fit result for \,\phi_{B_{s}} [^{\circ}]
-6.9 \pm 5.6
95% prob:[-89, -80] U [-15, 2.6]
99% prob:[-90, -74] U [-19, 3.8]
EPS - PDF - PNG - JPG - GIF



correlations for \,\Phi_{B_{s}} - C_{B_{s}}



EPS - PDF - PNG - JPG - GIF




Full fit result for \,C_{\epsilon_{K}}
0.99 \pm 0.17
95% prob:[0.70, 1.39]
99% prob:[0.60, 1.71]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,A_{SL_{d}}
Gaussian likelihood used
-
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,A_{SL_{d}}
-0.0051 \pm 0.0023
95% prob:[-0.0093, -0.0003]
99% prob:[-0.0113, 0.00181]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,A_{SL_{s}}
Gaussian likelihood used
-
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,A_{SL_{s}}
-0.0017 \pm 0.0012
95% prob:[-0.0041, 0.00052]
99% prob:[-0.0051, 0.00151]
EPS - PDF - PNG - JPG - GIF

woops, ordering error: got an ENDTWISTY before seeing a TWISTY
Revision 2
04 Dec 2011 - Main.DenisDerkach
Line: 1 to 1
Changed:
<
<
-- VincenzoVagnoni - 04 Dec 2011
>
>

Fit results: Winter 2011 (post-LP11)

Parameter Input value Full fit SM Prediction
\bar{\rho} - 0.131 \pm 0.022 -
\bar{\eta} - 0.354 \pm 0.015 -
\rho - 0.134 \pm 0.022 -
\eta - 0.363 \pm 0.015 -
A - 0.817 \pm 0.015 -
\lambda 0.225 \pm 0.0023 0.2252 \pm 0.001 -
|V_{ub}| 0.00382 \pm 0.00056 0.00362 \pm 0.00014 0.00361 \pm 0.00014
|V_{cb}| 0.041 \pm 0.001 0.0415 \pm 0.00072 -
\sin\theta_{12} - 0.2252 \pm 0.001 -
\sin\theta_{23} - 0.04146 \pm 0.00081 -
\sin\theta_{13} - 0.00362 \pm 0.00014 -
\delta, [^{\circ}] - 69.7 \pm 3.1 -
m_b\mathrm{ [GeV/c^{2}]} 4.21 \pm 0.08 - -
m_c\mathrm{ [GeV/c^{2}]} 1.3 \pm 0.1 - -
m_{t}\mathrm{ [GeV/c^{2}]} 164.1 \pm 0.9 164.05 \pm 0.95 153 \pm 11
\Delta m_{s} [\mathrm{ ps}^{-1}] 17.7 \pm 0.08 17.71 \pm 0.08 19.0 \pm 1.5
\Delta m_{d} [\mathrm{ ps}^{-1}] 0.507 \pm 0.004 - -
\Delta m_{K} [\mathrm{ ps}^{-1}] 1.8 \pm 1.8 - -
f_{B_{s}} 0.25 \pm 0.012 0.2348 \pm 0.0065 0.2291 \pm 0.0071
f_{B_{s}}/f_{B_{d}} 1.215 \pm 0.019 1.216 \pm 0.018 1.219 \pm 0.054
B_{B_{s}}/B_{B_{d}} 1.05 \pm 0.07 1.08 \pm 0.05 1.113 \pm 0.074
B_{B_{s}} 0.87 \pm 0.04 0.835 \pm 0.038 0.684 \pm 0.068
B_{k} 0.731 \pm 0.035 0.753 \pm 0.033 0.872 \pm 0.094
\alpha [^{\circ}] 91.6 \pm 6.1 88.0 \pm 3.0 85.8 \pm 3.9
\beta [^{\circ}] - 22.12 \pm 0.91 26.4 \pm 2.3
\sin(2\beta) 0.679 \pm 0.024 0.697 \pm 0.024 0.8 \pm 0.05
\cos(2\beta) 0.87 \pm 0.13 0.718 \pm 0.024 0.607 \pm 0.059
2\beta+\gamma [^{\circ}] -90 \pm 54 \text{ and } 90 \pm 54 114.2 \pm 3.8 114.5 \pm 3.8
\gamma [^{\circ}] -103.9 \pm 9.2 \text{ and } 75.7 \pm 9.2 69.7 \pm 3.1 68.5 \pm 3.2
|\epsilon_{k}| 0.00222 \pm 0.00002 0.00222 \pm 0.00001 -
B(B\rightarrow\tau\nu) 10^{-4} 1.64 \pm 0.34 0.876 \pm 0.095 0.831 \pm 0.093
J_{cp} 10^{-5} - 3.11 \pm 0.14 -
B(B_{s}\to l l), 10^{-9} - 3.54 \pm 0.28 -

The fit results for all the nine CKM elements are V=\left(\begin{array}{ccc} (0.97427 \pm 0.00012) & (0.22545 \pm 0.00059) & (0.00362 \pm 0.00014)e^{i(-70.0 \pm 3.1)^\circ}\\ ( -0.22525 \pm 0.00059)e^{i(0.0349 \pm 0.0015)^\circ} & (0.97338 \pm 0.00012) & (0.0415 \pm 0.00072) \\ (0.00881 \pm 0.00025)e^{i(-22.13 \pm 0.8)^\circ} & ( -0.04072 \pm 0.0007)e^{i(1.075 \pm 0.044)^\circ} & (0.999136 \pm 0.00002)\end{array}\right)




Full fit result for \,\bar{\rho}
0.131 \pm 0.022
95% prob:[0.089, 0.174]
99% prob:[0.066, 0.193]
EPS - PDF - PNG - JPG - GIF



Full fit result for \,\bar{\eta}
0.354 \pm 0.015
95% prob:[0.325, 0.384]
99% prob:[0.313, 0.400]
EPS - PDF - PNG - JPG - GIF



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



EPS - PDF - PNG - JPG - GIF




Full fit result for \,\rho
0.134 \pm 0.022
95% prob:[0.091, 0.178]
99% prob:[0.069, 0.202]
EPS - PDF - PNG - JPG - GIF



Full fit result for \,\eta
0.363 \pm 0.015
95% prob:[0.333, 0.394]
99% prob:[0.32, 0.409]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,A
0.817 \pm 0.015
95% prob:[0.787, 0.846]
99% prob:[0.775, 0.86] U [0.863, 0.867]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,\lambda
0.225 \pm 0.0023
95% prob:[0.2206, 0.2295]
99% prob:[0.2194, 0.2306]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,\lambda
0.2252 \pm 0.001
95% prob:[0.2234, 0.2274]
99% prob:[0.223, 0.2282]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,|V_{ub}|
0.00382 \pm 0.00056
95% prob:[0.00282, 0.00523]
99% prob:[0.00230, 0.00581]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,|V_{ub}|
0.00362 \pm 0.00014
95% prob:[0.00336, 0.00391]
99% prob:[0.00324, 0.00407]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,|V_{ub}|
0.00361 \pm 0.00014
95% prob:[0.00334, 0.00390]
99% prob:[0.00321, 0.00406]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,|V_{ub}|



EPS - PDF - PNG - JPG - GIF




Fit Input for \,|V_{cb}|
0.041 \pm 0.001
95% prob:[0.039, 0.043]
99% prob:[0.03802, 0.04402]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,|V_{cb}|
0.0415 \pm 0.00072
95% prob:[0.04008, 0.04293]
99% prob:[0.03939, 0.04367]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,\sin\theta_{12}
0.2252 \pm 0.001
95% prob:[0.2234, 0.2274]
99% prob:[0.223, 0.2282]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,\sin\theta_{23}
0.04146 \pm 0.00081
95% prob:[0.03999, 0.04309]
99% prob:[0.03933, 0.04375]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,\sin\theta_{13}
0.00362 \pm 0.00014
95% prob:[0.00335, 0.00392]
99% prob:[0.00322, 0.00407]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,\delta [^{\circ}]
69.7 \pm 3.1
95% prob:[63.5, 75.9]
99% prob:[60.2, 78.8]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,m_{t}\mathrm{ [GeV/c^{2}]}
Gaussian likelihood used
164.1 \pm 0.9
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,m_{t}\mathrm{ [GeV/c^{2}]}
164.05 \pm 0.95
95% prob:[162, 166.] U [169., 170]
99% prob:[161., 166.] U [168., 170]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,m_{t}\mathrm{ [GeV/c^{2}]}
153 \pm 11
95% prob:[132.8, 177.2]
99% prob:[130, 191.1] U [197.4, 200]
EPS - PDF - PNG - JPG - GIF



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



EPS - PDF - PNG - JPG - GIF




Fit Input for \,\Delta m_{s} \mathrm{[ ps^{-1}]}
Gaussian likelihood used
17.7 \pm 0.08
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,\Delta m_{s} \mathrm{[ ps^{-1}]}
17.71 \pm 0.08
95% prob:[17.54, 17.87]
99% prob:[17.45, 17.92]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,\Delta m_{s} \mathrm{[ ps^{-1}]}
19.0 \pm 1.5
95% prob:[16.1, 22.1]
99% prob:[14.8, 23.9]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,\Delta m_{s} \mathrm{[ ps^{-1}]}



EPS - PDF - PNG - JPG - GIF




Fit Input for \,f_{B_{s}}
Gaussian likelihood used
0.25 \pm 0.012
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,f_{B_{s}}
0.23475 \pm 0.00645
95% prob:[0.2221, 0.2479]
99% prob:[0.2164, 0.2553]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,f_{B_{s}}
0.2291 \pm 0.0071
95% prob:[0.2156, 0.2440]
99% prob:[0.2097, 0.2517]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,f_{B_{s}}



EPS - PDF - PNG - JPG - GIF




Fit Input for \,f_{B_{s}}/f_{B_{d}}
Gaussian likelihood used
1.215 \pm 0.019
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,f_{B_{s}}/f_{B_{d}}
1.2155 \pm 0.0175
95% prob:[1.180, 1.251]
99% prob:[1.162, 1.268]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,f_{B_{s}}/f_{B_{d}}
1.219 \pm 0.054
95% prob:[1.115, 1.327]
99% prob:[1.078, 1.387]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,f_{B_{s}}/f_{B_{d}}



EPS - PDF - PNG - JPG - GIF




Fit Input for \,B_{B_{s}}/B_{B_{d}}
Gaussian likelihood used
1.05 \pm 0.07
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,B_{B_{s}}/B_{B_{d}}
1.08 \pm 0.05
95% prob:[0.981, 1.181]
99% prob:[0.933, 1.234]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,B_{B_{s}}/B_{B_{d}}
1.1125 \pm 0.0735
95% prob:[0.968, 1.262]
99% prob:[0.904, 1.350]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,B_{B_{s}}/B_{B_{d}}



EPS - PDF - PNG - JPG - GIF




Fit Input for \,B_{B_{s}}
Gaussian likelihood used
0.87 \pm 0.04
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,B_{B_{s}}
0.8345 \pm 0.0375
95% prob:[0.761, 0.910]
99% prob:[0.723, 0.948]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,B_{B_{s}}
0.6835 \pm 0.0675
95% prob:[0.56300, 0.83900]
99% prob:[0.51100,0.93800]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,B_{B_{s}}



EPS - PDF - PNG - JPG - GIF




Fit Input for \,B_{k}
0.7305 \pm 0.0345
95% prob:[0.661, 0.800]
99% prob:[0.627, 0.836]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,B_{k}
0.7525 \pm 0.0325
95% prob:[0.688, 0.818]
99% prob:[0.656, 0.851]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,B_{k}
0.872 \pm 0.094
95% prob:[0.699, 1.080]
99% prob:[0.628, 1.203]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,B_{k}



EPS - PDF - PNG - JPG - GIF




Fit Input for \,\alpha [^{\circ}]
91.4 \pm 6.1
95% prob:[75.8, 110.]
99% prob:[71.9, 115.] U [162., 180]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,\alpha [^{\circ}]
88.0 \pm 3.0
95% prob:[82.1, 94.3]
99% prob:[79.3, 97.6]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,\alpha [^{\circ}]
85.8 \pm 3.9
95% prob:[78, 93.9]
99% prob:[74.2, 97.9]
EPS - PDF - PNG - JPG - GIF



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



EPS - PDF - PNG - JPG - GIF




Full Fit result for \,\beta [^{\circ}]
22.12 \pm 0.91
95% prob:[20.4, 24.0]
99% prob:[19.6, 25.1]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,\beta [^{\circ}]
26.4 \pm 2.3
95% prob:[21.8, 31.1]
99% prob:[19.7, 33.6]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,\sin(2\beta)
0.679 \pm 0.024
95% prob:[0.634, 0.729]
99% prob:[0.612, 0.755]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,\sin(2\beta)
0.697 \pm 0.024
95% prob:[0.654, 0.746]
99% prob:[0.639, 0.77]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,\sin(2\beta)
0.8 \pm 0.05
95% prob:[0.689, 0.895] U [0.998, 1]
99% prob:[0.642, 0.928] U [0.963, 1]
EPS - PDF - PNG - JPG - GIF



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



EPS - PDF - PNG - JPG - GIF




Fit Input for \,\cos(2\beta)
0.87 \pm 0.13
95% prob:[0.44, 1]
99% prob:[0.12, 1]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,\cos(2\beta)
0.718 \pm 0.024
95% prob:[0.668, 0.759]
99% prob:[0.647, 0.772]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,\cos(2\beta)
0.607 \pm 0.059
95% prob:[0.5, 0.706]
99% prob:[0.5, 0.76]
EPS - PDF - PNG - JPG - GIF



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



EPS - PDF - PNG - JPG - GIF




Fit Input for \,2\beta+\gamma [^{\circ}]
-90 \pm 54 \text{ and } 90 \pm 54
95% prob:[-172, -5.4] U [5.4, 171.]
99% prob:[-180, 178]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,2\beta+\gamma [^{\circ}]
114.2 \pm 3.8
95% prob:[106.8, 121.3]
99% prob:[103.3, 124.7]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,2\beta+\gamma [^{\circ}]
114.5 \pm 3.8
95% prob:[107, 121.5]
99% prob:[103.5, 124.9]
EPS - PDF - PNG - JPG - GIF



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



EPS - PDF - PNG - JPG - GIF




Fit Input for \,\gamma [^{\circ}]
-103.9 \pm 9.2 \text{ and } 75.7 \pm 9.2
95% prob:[-123, -85.] U [57, 94.5]
99% prob:[-133, -76] U [47.8, 48.1] U [49.6, 103.]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,\gamma [^{\circ}]
69.7 \pm 3.1
95% prob:[63.4, 75.9]
99% prob:[60.3, 78.9]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,\gamma [^{\circ}]
68.5 \pm 3.2
95% prob:[62, 75.4]
99% prob:[59, 78.6]
EPS - PDF - PNG - JPG - GIF



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



EPS - PDF - PNG - JPG - GIF




Fit Input for \,|\epsilon_{k}|
0.00222194 \pm 0.00002
95% prob:[0.00218345, 0.00226243]
99% prob:[0.00218045, 0.00229243]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,|\epsilon_{k}|
0.00222904 \pm 0.00002
95% prob:[0.0021996, 0.00225449]
99% prob:[0.00219162, 0.00226547]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,B(B\rightarrow\tau
u) 10^{-4}
Gaussian likelihood used
1.64 \pm 0.34
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,B(B\rightarrow\tau
u) 10^{-4}
0.876 \pm 0.095
95% prob:[0.695, 1.06]
99% prob:[0.654, 1.134]
EPS - PDF - PNG - JPG - GIF



SM Fit prediction for \,B(B\rightarrow\tau
u) 10^{-4}
0.831 \pm 0.093
95% prob:[0.664, 1.012]
99% prob:[0.623, 1.108]
EPS - PDF - PNG - JPG - GIF



Compatibility Plot for \,B(B\rightarrow\tau
u) 10^{-4}



EPS - PDF - PNG - JPG - GIF




Full fit result for \,J_{cp} 10^{-5}
3.11 \pm 0.14
95% prob:[2.83, 3.38]
99% prob:[2.74, 3.49]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,B(B_{s}\to l l), 10^{-9}
3.54 \pm 0.28
95% prob:[3, 4.13]
99% prob:[2.77, 4.44]
EPS - PDF - PNG - JPG - GIF

The fit presented here is meant to constrain the NP contributions to |Δ F|=2 transitions by using the available experimental information on loop-mediated processes In general, NP models introduce a large number of new parameters: flavour changing couplings, short distance coefficients and matrix elements of new local operators. The specific list and the actual values of these parameters can only be determined within a given model. Nevertheless mixing processes are described by a single amplitude and can be parameterized, without loss of generality, in terms of two parameters, which quantify the difference of the complex amplitude with respect to the SM one. Thus, for instance, in the case of B^0_q-\bar{B}^0_q mixing we define
C_{B_q}  \, e^{2 i \phi_{B_q}} = \frac{\langle B^0_q|H_\mathrm{eff}^\mathrm{full}|\bar{B}^0_q\rangle} {\langle
              B^0_q|H_\mathrm{eff}^\mathrm{SM}|\bar{B}^0_q\rangle}\,, \qquad (q=d,s),
where H_\mathrm{eff}^\mathrm{SM} includes only the SM box diagrams, while H_\mathrm{eff}^\mathrm{full} also includes the NP contributions. In the absence of NP effects, C_{B_q}=1 and \phi_{B_q}=0 by definition. In a similar way, one can write
C_{\epsilon_K} = \frac{\mathrm{Im}[\langle
    K^0|H_{\mathrm{eff}}^{\mathrm{full}}|\bar{K}^0\rangle]}
  {\mathrm{Im}[\langle
    K^0|H_{\mathrm{eff}}^{\mathrm{SM}}|\bar{K}^0\rangle]}\,,\qquad
  C_{\Delta m_K} = \frac{\mathrm{Re}[\langle
    K^0|H_{\mathrm{eff}}^{\mathrm{full}}|\bar{K}^0\rangle]}
  {\mathrm{Re}[\langle
    K^0|H_{\mathrm{eff}}^{\mathrm{SM}}|\bar{K}^0\rangle]}\,.
  \label{eq:ceps}
Concerning \Delta m_K, to be conservative, we add to the short-distance contribution a possible long-distance one that varies with a uniform distribution between zero and the experimental value of \Delta m_K.

The experimental quantities determined from the B^0_q-\bar{B}^0_q mixings are related to their SM counterparts and the NP parameters by the following relations:

\Delta m_d^\mathrm{exp} = C_{B_d} \Delta m_d^\mathrm{SM} \,,\;    \\
\sin 2 \beta^\mathrm{exp} = \sin (2 \beta^\mathrm{SM} + 2\phi_{B_d})\,,\;   \\ 
\alpha^\mathrm{exp} =  \alpha^\mathrm{SM} - \phi_{B_d}\,,      \\
\Delta m_s^\mathrm{exp} = C_{B_s} \Delta m_s^\mathrm{SM} \,,\;   \\
\phi_s^\mathrm{exp} = (\beta_s^\mathrm{SM} - \phi_{B_s})\,,\;     \\
\Delta m_K^\mathrm{exp} = C_{\Delta m_K} \Delta m_K^\mathrm{SM} \,,\;   \\
\epsilon_K^\mathrm{exp} = C_{\epsilon_K} \epsilon_K^\mathrm{SM} \,,\;   \\

in a self-explanatory notation.

All the measured observables can be written as a function of these NP parameters and the SM ones ρ and η, and additional parameters such as masses, form factors, and decay constants.

Click on the parameter name to jump to the corresponding plot

Parameter Input value Full fit
\bar{\rho} - 0.134 \pm 0.044
\bar{\eta} - 0.403 \pm 0.058
\rho - 0.137 \pm 0.045
\eta - 0.439 \pm 0.058
A - 0.804 \pm 0.021
\lambda 0.225 \pm 0.0023 0.22515 \pm 0.00095
C_{B_{d}} - 0.81 \pm 0.12
\phi_{B_{d}} [^{\circ}] - -3.4 \pm 3.7
C_{B_{s}} - 0.87 \pm 0.1
\phi_{B_{s}} [^{\circ}] - -6.9 \pm 5.6
C_{\epsilon_{K}} - 0.99 \pm 0.17
A_{SL_{d}} - -0.0051 \pm 0.0023
A_{SL_{s}} - -0.0017 \pm 0.0012

The fit results for all the nine CKM elements are V_{CKM}=\left(\begin{array}{ccc} (0.97427 \pm 0.00012) & (0.22535 \pm 0.00059) & (0.00397 \pm 0.00052)e^{i(-70.8 \pm 4.9)^\circ}\\ ( -0.22525 \pm 0.00059)e^{i(0.0376 \pm 0.0047)^\circ} & (0.97347 \pm 0.00015) & (0.04082 \pm 0.00097) \\ (0.00877 \pm 0.00041)e^{i(-24.5 \pm 2.7)^\circ} & ( -0.04009 \pm 0.00095)e^{i(1.19 \pm 0.11)^\circ} & (0.99916 \pm 3.6\times 10^{-5})\end{array}\right)




Full fit result for \,\bar{\rho}
0.134 \pm 0.044
95% prob:[0.052, 0.240] U [0.389, 0.4]
99% prob:[0.033, 0.286] U [0.340, 0.4]
EPS - PDF - PNG - JPG - GIF



Full fit result for \,\bar{\eta}
0.403 \pm 0.058
95% prob:[0.297, 0.498]
99% prob:[0.234, 0.5]
EPS - PDF - PNG - JPG - GIF



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



EPS - PDF - PNG - JPG - GIF




Full fit result for \,\rho
0.137 \pm 0.045
95% prob:[0.055, 0.246] U [0.384, 0.4]
99% prob:[0.034, 0.291] U [0.338, 0.4]
EPS - PDF - PNG - JPG - GIF



Full fit result for \,\eta
0.439 \pm 0.058
95% prob:[0.309, 0.5]
99% prob:[0.242, 0.5]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,A
0.804 \pm 0.021
95% prob:[0.764, 0.844]
99% prob:[0.747, 0.862] U [0.863, 0.865]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,\lambda
0.225 \pm 0.0023
95% prob:[0.2206, 0.2295]
99% prob:[0.2194, 0.2306]
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,\lambda
0.22515 \pm 0.00095
95% prob:[0.2234, 0.2272]
99% prob:[0.223, 0.2279]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,C_{B_{d}}
0.81 \pm 0.12
95% prob:[0.59, 1.09]
99% prob:[0.53, 1.28]
EPS - PDF - PNG - JPG - GIF



Full fit result for \,\phi_{B_{d}} [^{\circ}]
-3.4 \pm 3.7
95% prob:[-10, 3.9]
99% prob:[-14, 7.5]
EPS - PDF - PNG - JPG - GIF



correlations for \,\Phi_{B_{d}} - C_{B_{d}}



EPS - PDF - PNG - JPG - GIF




Full fit result for \,C_{B_{s}}
0.87 \pm 0.1
95% prob:[0.67, 1.07]
99% prob:[0.59, 1.17]
EPS - PDF - PNG - JPG - GIF



Full fit result for \,\phi_{B_{s}} [^{\circ}]
-6.9 \pm 5.6
95% prob:[-89, -80] U [-15, 2.6]
99% prob:[-90, -74] U [-19, 3.8]
EPS - PDF - PNG - JPG - GIF



correlations for \,\Phi_{B_{s}} - C_{B_{s}}



EPS - PDF - PNG - JPG - GIF




Full fit result for \,C_{\epsilon_{K}}
0.99 \pm 0.17
95% prob:[0.70, 1.39]
99% prob:[0.60, 1.71]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,A_{SL_{d}}
Gaussian likelihood used
-
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,A_{SL_{d}}
-0.0051 \pm 0.0023
95% prob:[-0.0093, -0.0003]
99% prob:[-0.0113, 0.00181]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,A_{SL_{s}}
Gaussian likelihood used
-
EPS - PDF - PNG - JPG - GIF



Full Fit result for \,A_{SL_{s}}
-0.0017 \pm 0.0012
95% prob:[-0.0041, 0.00052]
99% prob:[-0.0051, 0.00151]
EPS - PDF - PNG - JPG - GIF

 
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