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 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 $(D,D^{\ast })$, $(D_s,D_s^{\ast })$, $(D_0^{\ast }(2400),D_1(2430))$, $(D_{s0}^{\ast }(2317),D_{s1}(2460))$, $(B,B^{\ast })$, $(B_s,B_s^{\ast })$ can be well reproduced, while the predictions for the masses of the $(B_0^{\ast },B_1)$ and $(B_{s0}^{\ast },B_{s1})$ 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.

Comments: 18 pages, 37 figures, correct an error in Table 1, $245\pm 17$ should be replaced with $345\pm 17$. arXiv admin note: substantial text overlap with arXiv:1301.1399