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

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 we 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 $$(B^*_{0}, B_{1})$$ 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