Charmless weakBsdecays in the relativistic quark model

Abstract

The form factors of the weak B s transitions to the ground state and orbitally excited strange mesons are calculated in the framework of the QCD-motivated relativistic quark model based on the quasipotential approach. These form factors are expressed through the overlap integrals of meson wave functions found in their mass spectrum evaluations. The momentum dependence of the form factors is determined in the whole accessible kinematical range without any additional assumptions and extrapolations. Relativistic effects, including the wave function transformation from the rest to a moving reference frame as well as contributions of the intermediate negative-energy states, are consistently taken into account. The calculated form factors are used for the evaluation of the charmless semileptonic decay rates and two-body nonleptonic B s decays in the factorization approximation. The obtained results are confronted with previous predictions and available experimental data.

Study ofB¯s0→(Ds+,Ds*+<

“…As a comparison, we also show the theoretical predictions as given previously in Refs. [15][16][17][18][19][20]. One can see from the numerical results as shown in Table II that: (i) For the branching ratios, although the previous theoretical predictions basically agree within a factor of 2, they are rather different from each other.…”

“…The numerical predictions as presented in all these mentioned works [15][16][17][18][19][20] will be listed in Table III of this paper for the purpose of comparisons.…”

Relativistic description of weak decays of Bs mesons

“…The explicit expression for the vertex function Γ µ (p, q) can be found in Ref. [4]. It contains contributions both from the leading order spectator diagram and from subleading order diagrams accounting for the contributions of the negative-energy intermediate states.…”

“…The explicit expressions are given in Ref. [4]. For the numerical evaluations of the corresponding overlap integrals we use the quasipotential wave functions of B s and K ( * ) mesons obtained in their mass spectra calculations [7].…”

“…In this talk we consider the weak B s transition form factors and decay rates in the framework of the relativistic quark model based on the quasipotential approach and quantum chromoynamics (QCD) [4]. We previously applied this model for the calculation of the weak B transitions [5].…”