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In this article, we assume that the two quarks have unequal masses andcalculate the next-to-leading order contributions to the spectral densities ofthe mesonic two-point correlation functions of the vector, axialvector, scalarand pseudoscalar currents. We take dimensional regularization to regularizeboth the ultraviolet and infrared divergences, and use optical theorem toobtain the spectral densities directly, furthermore, we present some necessarytechnical details for readers convenience. The analytical expressions areapplicable in many phenomenological analysis besides the QCD sum rules.

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