Next-to-leading order perturbative contributions in the QCD sum rules for mesonic two-point correlation functions with unequal quark masses

Abstract

In this article, we assume that the two quarks have unequal masses and calculate the next-to-leading order contributions to the spectral densities of the mesonic two-point correlation functions of the vector, axialvector, scalar and pseudoscalar currents. We take dimensional regularization to regularize both the ultraviolet and infrared divergences, and use optical theorem to obtain the spectral densities directly, furthermore, we present some necessary technical details for readers convenience. The analytical expressions are applicable in many phenomenological analysis besides the QCD sum rules.

14 pages, 6 figures

References in corpus (6)

• An Introduction to the Thermodynamic and Macrostate Levels of Nonequivalent Ensembles
• Partial equivalence of statistical ensembles and kinetic energy
• Generalized canonical ensembles and ensemble equivalence
• The generalized canonical ensemble and its universal equivalence with the microcanonical ensemble
• Nonequivalence of ensembles for long-range quantum spin systems in optical lattices
• Calculations of canonical averages from the grand canonical ensemble

Cited by in corpus (3)

• Reanalysis of the $X(3915)$, $X(4500)$ and $X(4700)$ with QCD sum rules
• The $B_c$ meson and its scalar cousin with the QCD sum rules
• Effects of single-particle potentials on the level density parameter