A Quark-Meson Model for Heavy Mesons: Semi-Leptonic Decays

TL;DR

This paper presents a quark-meson model for heavy meson semi-leptonic decays, utilizing symmetries of QCD to compute decay constants and form factors with limited parameters, aligning with theoretical expectations.

Contribution

It introduces a constrained effective quark-meson model that accurately predicts semi-leptonic decay form factors consistent with QCD symmetries.

Findings

Computed leptonic decay constants for B and B** mesons.

Derived Isgur-Wise form factors for semi-leptonic decays.

Validated form factors against QCD large energy limit relations.

Abstract

I consider a model for heavy meson decays based on an effective quark-meson Lagrangian. The model is constrained by the known symmetries of QCD in the m_Q -> infinity limit for the heavy quarks, and chiral symmetry in the light quark sector. Using a limited number of free parameters it is possible to compute several phenomenological quantities, e.g. the leptonic B and B** decay constants; the Isgur-Wise form factors: xi, tau(3/2), tau (1/2), describing the semi-leptonic decays B -> D(*) l nu, B -> D** l nu; the form factors for heavy to light decays B -> rho l nu, B -> a_1 l nu. I show that the semileptonic heavy-to-light form factors calculated in the model fulfill the general relations that hold in QCD in the large energy limit for the final hadron.