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Article Dans Une Revue International Journal of Modern Physics A Année : 2018

A Simple Expression for Heavy to Light Meson Semileptonic Decays Form Factors

Résumé

Like the two-photon and two-gluon decays of the P-wave χc0,2 and χb0,2 charmonium state for which the Born term produces a very simple decays amplitude in terms of an effective Lagrangian with two-quark local operator, the Born term for the processes cd̄ → (π,K)ℓν and bd̄ → (π,K)ℓν, could also produce the D and B meson semileptonic decays with the light meson π, K in the final state. In this approach to heavy-light meson form factors with the π, K meson treated as Goldstone boson, a simple expression is found for the decays form factors, given as: f+(0)/1 − q2/m H2 + m π2, with H = D, B for D, B → π form factors, and f+(0)/1 − q2/m H2 + m K2 for B, D → K form factor. The purpose of this paper is to show that this expression for the form factors could describe rather well the q2-behavior observed in the BaBar, Belle and BESIII measurements and lattice simulation. In particular, the D → K form factors are in good agreement with the measured values in the whole range of q2 showing evidence for SU(3) breaking with the presence of mK2 term in the quark propagator, but some corrections to the Born term are needed at large q2 for D, B → π form factors.

Dates et versions

hal-01714142 , version 1 (21-02-2018)

Identifiants

Citer

T.N. Pham. A Simple Expression for Heavy to Light Meson Semileptonic Decays Form Factors. International Journal of Modern Physics A, 2018, 33 (28), pp.1850160. ⟨10.1142/S0217751X18501609⟩. ⟨hal-01714142⟩
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