Tree Level Fit results: Summer 2018

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 Prediction
\bar{\rho} - -0.137 \pm 0.032 \text{ and } 0.137 \pm 0.032
\bar{\eta} - -0.377 \pm 0.036 \text{ and } 0.377 \pm 0.037
\rho - 0.138 \pm 0.030
\eta - 0.381 \pm 0.028
A - 0.797 \pm 0.023
\lambda - 0.22519 \pm 0.00054
\alpha, [^{\circ}] - 90.0 \pm 2.2
\beta, [^{\circ}] - 23.6 \pm 1.3
\sin(2\beta) - 0.736 \pm 0.033
\gamma, [^{\circ}] -109.9 \pm 4.2 \text{ and } 70.0 \pm 4.2 65.8 \pm 2.2

CKM matrix thus looks like V_{CKM}=\left(\begin{array}{ccc} (0.97431 \pm 0.00012) & (0.22514 \pm 0.00055) & (0.00365 \pm 0.00010)e^{i(-70.2 \pm 4.2)^\circ}\\ ( -0.22500 \pm 0.00055)e^{i(0.0349 \pm 0.0026)^\circ} & (0.97351 \pm 0.00013)e^{i(-0.00186 \pm 0.00014)^\circ} & (0.04241 \pm 0.00065) \\ (0.00858 \pm 0.00036 \text{ and } 0.01088 \pm 0.00036)e^{i(-23.1 \pm 1.6)^\circ} & ( -0.0393 \pm 0.0012)e^{i(1.129 \pm 0.078)^\circ} & (0.999178 \pm 0.000048)\end{array}\right)




Full fit result for \,\bar{\rho}
-0.137 \pm 0.032 \text{ and } 0.137 \pm 0.032
95% prob:[-0.195, -0.076] U [0.075, 0.195]
99% prob:[-0.229, -0.045] U [0.033, 0.230]
EPS - PDF - PNG - JPG - GIF

too many splits for range


Full fit result for \,\bar{\eta}
-0.377 \pm 0.036 \text{ and } 0.377 \pm 0.037
95% prob:[-0.433, -0.318] U [0.317, 0.434]
99% prob:to be defined
EPS - PDF - PNG - JPG - GIF



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



EPS - PDF - PNG - JPG - GIF




Full fit result for \,\rho
0.138 \pm 0.030
95% prob:[0.077, 0.201]
99% prob:[0.003, 0.033] U [0.038, 0.232]
EPS - PDF - PNG - JPG - GIF



Full fit result for \,\eta
0.381 \pm 0.028
95% prob:[0.327, 0.443]
99% prob:[0.294, 0.488]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,A
0.797 \pm 0.023
95% prob:[0.752, 0.846]
99% prob:[0.730, 0.873]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,\lambda
0.22519 \pm 0.00054
95% prob:[0.22405, 0.22623]
99% prob:[0.22356, 0.22683]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,\alpha, [^{\circ}]Sorted ascending
90.0 \pm 2.2
95% prob:[85.5, 94.7]
99% prob:[83.2, 97.0]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,\beta, [^{\circ}]
23.6 \pm 1.3
95% prob:[21.1, 26.6] U [26.7, 26.7]
99% prob:[19.9, 28.3]
EPS - PDF - PNG - JPG - GIF




Full fit result for \,\sin(2\beta)
0.736 \pm 0.033
95% prob:[0.674, 0.805]
99% prob:[0.644, 0.838]
EPS - PDF - PNG - JPG - GIF




Fit Input for \,\gamma, [^{\circ}]
-109.9 \pm 4.2 \text{ and } 70.0 \pm 4.2
95% prob:[-118.3, -101.5] U [61.7, 78.5]
99% prob:[-122.5, -97.2] U [57.5, 82.5]
EPS - PDF - PNG - JPG - GIF



Prediction for \,\gamma, [^{\circ}]
65.8 \pm 2.2
95% prob:[61.5, 70.5]
99% prob:[59.4, 72.9]
EPS - PDF - PNG - JPG - GIF

 
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