Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1994-07-22
Physics
High Energy Physics
High Energy Physics - Phenomenology
52 pages, LATEX, ten figures available upon request; minor changes in the Appendix and footnotes, some misprints are corrected
Scientific paper
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 $D^{\pm,o,s}$ decay widths and the $B^{\pm,o,s}$ lifetime differences. The results for D mesons are in agreement with the data,\, while it is predicted that $[\Gamma (B^o)-\Gamma (B^-)]/\Gamma_B\se 4\%\,,$ and the lifetime difference of the $B^o$ and $B_s$ mesons is even smaller. The role of the weak annihilation and Pauli interference contributions to the lifetime differences are 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 perturbative pole quark masses are: $M_c\se 1.65\,GeV,\,\, M_b\se 5.04\,GeV\,,$ and the decay constants are: $f_D(M_c)\se 165\,MeV\,,\,\,f_B(M_b)\se 113\,MeV\,$. It is also shown that the nonfactorizable corrections to the $B^o-{\bar B}^o$ mixing are large,\, $B_B\se (1-18\%)\,.$ 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): $\lambda\se 0.22\,,\,\, A\se 0.825\,,\,\,\rho \se -0.4\,,\,\, \eta \se 0.2\,.$
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