Indirect Measurement of the Vertex and Angles of the Unitarity Triangle

The precise measurements of the $B^0_d$ oscillation frequency and the limit on the $B^0_s$ one as well as the determination of the Cabibbo-Kobayashi-Maskawa matrix element $|\mathrm{V_{ub}}|$ impro ve the constraints on the other elements of this matrix. A fit to the experimental data and the theory calculations leads to the determination of the vertex of the unitarity triangle as: \begin{ displaymath} \rho =0.160 ^{+0.094} _{-0.070}\,\,\,\,\, \eta =0.381 ^{+0.061} _{-0.058}. \end{displaymath} The values of its angles, in their customary definition in terms of sines for $\alpha$ a nd $\beta$, are found to be: \begin{displaymath} \sin{2\alpha} =0.06 ^{+0.35} _{-0.42} \,\,\,\,\, \sin{2\beta} =0.75 \pm 0.09 \,\,\,\,\, \gamma =67 ^{+11} _{-12}\,^\circ. \end{displaymath} Ind irect information on non-perturbative QCD parameters, on the presence of a CP violating complex phase in the CKM matrix and on the $B^0_s$ oscillation frequency are also extracted.