B_(s), D_(s)→ π, K, η, ρ, K*, ω, ϕ TRANSITION FORM FACTORS AND DECAY RATES WITH EXTRACTION OF THE CKM PARAMETERS |V_ub|, |V_cs|, |V_cd|

Abstract

A systematic calculation for the transition form factors of heavy to light mesons (B, Bs, D, Ds→ π, K, η, ρ, K*, ω, ϕ) is carried out by using light-cone sum rules in the framework of heavy quark effective field theory. The heavy quark symmetry at the leading order of 1/mQexpansion enables us to reduce the independent wave functions and establish interesting relations among form factors. Some relations hold for the whole region of momentum transfer. The meson distribution amplitudes up to twist-4 including the contributions from higher conformal spin partial waves and light meson mass corrections are considered. The CKM matrix elements |Vub|, |Vcs| and |Vcd| are extracted from some relatively well-measured decay channels. A detailed prediction for the branching ratios of heavy to light meson decays is then presented. The resulting predictions for the semileptonic and radiative decay rates of heavy to light mesons (B, Bs, D, Ds→ π, K, η, ρ, K*, ω, ϕ) are found to be compatible with the current experimental data and can be tested by more precise experiments at B-factory, LHCb, BEPCII and CLEOc.

Charmless weakBsdecays in the relativistic quark model

“…In Table III we compare our predictions for the form factors of weak B s decays at maximum recoil q 2 = 0 with results of other calculations [13,[15][16][17][18][19][20][21]. Light-cone sum rules, including one-loop radiative corrections to twist-2 and twist-3 contributions, and leading order twist-4 corrections are used in Ref.…”

“…The authors of Ref. [19] employ light-cone sum rules in the framework of heavy quark effective theory. In Ref.…”

“…Therefore, the explicit determination of the momentum dependence of the weak decay form factors in the whole q 2 range without any additional assumptions is an important advantage of our model. The calculated branching fractions of the semileptonic B s → K ( * ) lν l decays are presented in Table VIII in comparison with other theoretical predictions [19,21]. The perturbative QCD factorization approach is used in Ref.…”

“…[21], while in Ref. [19] light cone sum rules are employed. From the comparison in Table VIII we see that all theoretical predictions for the B s semileptonic branching fractions agree within uncertainties.…”

Relativistic description of weak decays of Bs mesons

“…[31] calculations are based on the light-front quark model, while light-cone sum rules in the framework of heavy quark effective field theory are applied in Ref. [20]. The analysis of the predictions given in Table X [6].…”