Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1995-03-02
Nucl.Phys.B457:96-146,1995
Physics
High Energy Physics
High Energy Physics - Phenomenology
small improvements in the text and Table 2, Latex, 18 pages
Scientific paper
10.1016/0550-3213(95)00528-5
Using the expansions of the heavy meson decay widths in the heavy quark mass and QCD sum rules for estimates of corresponding matrix elements,\, we calculate the $D^{\pm,o,s}$ and $B^{\pm,o,s}$ meson lifetimes. The results for D mesons are in a reasonable agreement with the data,\, while it is predicted: $[\Gamma (B_d)-\Gamma (B^\pm)]/\Gamma_B\se 4\%\,$ (and the lifetime difference of the $B_d$ and $B_s$ mesons is even smaller);\, $[\Gamma(B_s^{short})-\Gamma(B_s^{long})]/{\ov \Gamma}(B_s)\se 8\%\,.$ The role of the weak annihilation and Pauli interference contributions to the lifetime differences is described in detail. In the course of self-consistent calculations the values of many parameters crucial for calculations with charmed and beauty mesons are found. In particular,\, the quark pole masses are: $M_c\se 1.65\,GeV,\,\, M_b\se 5.04\,GeV\,,$ and the decay constants are: $f_D(M_c)\se 165\,MeV\,,\,\,f_B(M_b)\se 120\,MeV\,$. It is also shown that the nonfactorizable corrections to the $B-{\bar B}$ mixing are large,\, $B_B(M_b)\se (1-18\%)\,.$ The values of the unitarity triangle parameters are found which are consistent with these results and the data available (except for the NA31 result for the $\epsilon ^{\prime}/\epsilon$ which is too large): $|V_{cb}|\se 4.2\cdot 10^{-2}\,,\, |V_{td}|\se 1.3\cdot 10^{-2}\,,\, |V_{ub}/V_{cb}|\se 0.10\,,\, \{\,A\se 0.86\,,\,\,\rho \se -0.40\,,\,\, \eta \se 0.20\,\}.$
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