Effects of a dressed quark-gluon vertex in vector heavy-light mesons and theory average of B(c)* meson mass

TL;DR

This paper studies the impact of a dressed quark-gluon vertex on vector heavy-light mesons using Dyson-Schwinger-Bethe-Salpeter equations, predicting the B_c* meson mass with high precision.

Contribution

It introduces a systematic analysis of dressed-quark-gluon vertices beyond rainbow-ladder truncation in heavy-light mesons, including a prediction for the B_c* meson mass.

Findings

Predicted B_c* mass at 6.334 GeV

Theory average B_c* mass is 6.336 ± 0.002 GeV

Quantified corrections beyond rainbow-ladder truncation

Abstract

We extend earlier investigations of heavy-light pseudoscalar mesons to the vector case, using a simple model in the context of the Dyson-Schwinger-Bethe-Salpeter approach. We investigate the effects of a dressed-quark-gluon vertex in a systematic fashion and illustrate and attempt to quantify corrections beyond the phenomenologically very useful and successful rainbow-ladder truncation. In particular we investigate dressed quark photon vertex in such a setup and make a prediction for the experimentally as yet unknown mass of the B_c*, which we obtain at 6.334 GeV well in line with predictions from other approaches. Furthermore, we combine a comprehensive set of results from the theory literature. The theory average for the mass of the B_c* meson is 6.336 +- 0.002 GeV.