Two-loop corrections to the correlator of tensor currents in gluodynamics

TL;DR

This paper calculates the leading order $ ext{alpha}_s$ corrections to the tensor current correlator in pure gluodynamics, showing these corrections are small enough for perturbative analysis of the resonance spectrum using sum rules.

Contribution

It provides the first evaluation of the leading order $ ext{alpha}_s$ corrections to the tensor current correlator in gluodynamics, supporting perturbative approaches in resonance analysis.

Findings

Corrections are numerically small, validating perturbation theory use.

Supports sum rules method for resonance spectrum analysis.

Enhances understanding of tensor current correlators in gluodynamics.

Abstract

Results of evaluating the leading order $\alpha_s$ corrections to the correlator of tensor currents in pure gluodynamics are presented. These corrections to the parton result for the correlator are not large numerically that allows one to use perturbation theory for the analysis of the resonance spectrum within the sum rules method.