Effects of a dressed quark-gluon vertex in pseudoscalar heavy-light mesons

TL;DR

This paper explores how dressing the quark-gluon vertex influences the masses of pseudoscalar heavy-light mesons using a Dyson-Schwinger-Bethe-Salpeter model, highlighting effects on unequal-mass systems and heavy quark treatments.

Contribution

It introduces a simplified model to analyze the impact of a dressed-quark-gluon vertex on heavy-light meson masses within the Dyson-Schwinger-Bethe-Salpeter framework.

Findings

Dressed-quark-gluon vertex significantly affects pseudoscalar meson masses.

Heavy-light meson masses are sensitive to vertex dressing effects.

Effective heavy quark treatment is validated within the model.

Abstract

Using a simple model in the context of the Dyson-Schwinger-Bethe-Salpeter approach, we investigate the effects of a dressed-quark-gluon vertex on pseudoscalar meson masses. In particular, we focus on the unequal-mass case and investigate heavy-light meson masses; in addition, we study the premise of the effective treatment of heavy quarks in our approach.