1. A simple expression for heavy to light meson semileptonic decays form factors.
- Author
-
Pham, T. N.
- Subjects
- *
MESONS , *SEMILEPTONIC kaon decay , *BOSONS , *LAGRANGIAN functions , *P-waves (Electrocardiography) - Abstract
Like the two-photon and two-gluon decays of the P -wave χ c 0 , 2 and χ b 0 , 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 c d ̄ → (π , K) ℓ ν and b d ̄ → (π , K) ℓ ν , 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 − q 2 / m H 2 + m π 2 , with H = D , B for D , B → π form factors, and f + (0) / 1 − q 2 / m H 2 + m K 2 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 q 2 -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 q 2 showing evidence for S U (3) breaking with the presence of m K 2 term in the quark propagator, but some corrections to the Born term are needed at large q 2 for D , B → π form factors. [ABSTRACT FROM AUTHOR]
- Published
- 2018
- Full Text
- View/download PDF