Analysis of the masses and decay constants of the heavy-light mesons with QCD sum rules

TL;DR

This paper uses QCD sum rules to systematically calculate the masses and decay constants of various heavy-light mesons, including vacuum condensate contributions and corrections, providing results consistent with observed data and predictions for unmeasured states.

Contribution

It introduces a comprehensive QCD sum rule analysis including up to dimension-6 condensates and $ ext{O}( ext{α}_s)$ corrections for heavy-light mesons, improving mass and decay constant predictions.

Findings

Reproduces observed meson masses accurately.

Provides decay constants with phenomenological relevance.

Predicts masses of unmeasured B meson states.

Abstract

In this article, we calculate the contributions of the vacuum condensates up to dimension-6 including the $\mathcal{O}(\alpha_s)$ corrections to the quark condensates in the operator product expansion, then study the masses and decay constants of the pseudoscalar, scalar, vector and axial-vector heavy-light mesons with the QCD sum rules in a systematic way. The masses of the observed mesons $(D,D^*)$, $(D_s,D_s^*)$, $(D_0^*(2400),D_1(2430))$, $(D_{s0}^*(2317),D_{s1}(2460))$, $(B,B^*)$, $(B_s,B_s^*)$ can be well reproduced, while the predictions for the masses of the $(B^*_{0}, B_{1})$ and $(B^*_{s0}, B_{s1})$ can be confronted with the experimental data in the future. We obtain the decay constants of the pseudoscalar, scalar, vector and axial-vector heavy-light mesons, which have many phenomenological applications in studying the semi-leptonic and leptonic decays of the heavy-light mesons.