Heavy-light mesons from a flavour-dependent interaction

TL;DR

This paper develops a symmetry-preserving framework incorporating flavour-dependent effects into heavy-light meson models, accurately predicting meson properties and bridging light and heavy quark regimes.

Contribution

It introduces a novel approach that includes flavour-dependent contributions via dressed quark-gluon vertices, enabling a smooth transition from light to heavy quarks in meson calculations.

Findings

Accurately predicts masses and decay constants of heavy-light mesons.

Shows good agreement with experimental data and lattice QCD simulations.

Provides a natural distinction between light and heavy quark dynamics.

Abstract

We introduce a new symmetry-preserving framework for the physics of heavy-light mesons, whose key element is the effective incorporation of flavour-dependent contributions into the corresponding bound-state and quark gap equations. These terms originate from the fully-dressed quark-gluon vertices appearing in the kernels of these equations, and provide a natural distinction between ``light" and ``heavy" quarks. In this approach, only the classical form factor of the quark-gluon vertex is retained, and is evaluated in the so-called ``symmetric" configuration. The standard Slavnov-Taylor identity links this form factor to the quark wave-function, allowing for the continuous transition from light to heavy quarks through the mere variation of the current quark mass in the gap equation. The method is used to compute the masses and decay constants of specific pseudoscalars and vector heavy-light systems, showing good overall agreement with both experimental data and lattice simulations.