English

CALCULATION OF THE D AND B MESON LIFETIMES AND THE UNITARITY TRIANGLE PARAMETERS

High Energy Physics - Phenomenology 2010-11-01 v3

Abstract

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±,o,sD^{\pm,o,s} and B±,o,sB^{\pm,o,s} meson lifetimes. The results for D mesons are in a reasonable agreement with the data,\, while it is predicted: [Γ(Bd)Γ(B±)]/ΓB\se4%[\Gamma (B_d)-\Gamma (B^\pm)]/\Gamma_B\se 4\%\, (and the lifetime difference of the BdB_d and BsB_s mesons is even smaller);\, [Γ(Bsshort)Γ(Bslong)]/\ovΓ(Bs)\se8%.[\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: Mc\se1.65GeV,Mb\se5.04GeV,M_c\se 1.65\,GeV,\,\, M_b\se 5.04\,GeV\,, and the decay constants are: fD(Mc)\se165MeV,fB(Mb)\se120MeVf_D(M_c)\se 165\,MeV\,,\,\,f_B(M_b)\se 120\,MeV\,. It is also shown that the nonfactorizable corrections to the BBˉB-{\bar B} mixing are large,\, BB(Mb)\se(118%).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 ϵ/ϵ\epsilon ^{\prime}/\epsilon which is too large): Vcb\se4.2102,Vtd\se1.3102,Vub/Vcb\se0.10,{A\se0.86,ρ\se0.40,η\se0.20}.|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\,\}.

Keywords

Cite

@article{arxiv.hep-ph/9503208,
  title  = {CALCULATION OF THE D AND B MESON LIFETIMES AND THE UNITARITY TRIANGLE PARAMETERS},
  author = {V. Chernyak},
  journal= {arXiv preprint arXiv:hep-ph/9503208},
  year   = {2010}
}

Comments

small improvements in the text and Table 2, Latex, 18 pages