OPE of the energy-momentum tensor correlator in massless QCD

TL;DR

This paper provides detailed higher-order analytical calculations of the operator product expansion coefficients for the energy-momentum tensor correlator in massless QCD, advancing precision in theoretical predictions.

Contribution

It presents the first three-loop correction to the coefficient C_0 and two-loop corrections to C_1, enhancing the understanding of QCD correlators at higher orders.

Findings

Calculated three-loop correction to C_0 coefficient.

Computed two-loop correction to C_1 coefficient.

Extended the precision of OPE in massless QCD.

Abstract

We analytically calculate higher order corrections to coefficient functions of the operator product expansion (OPE) for the Euclidean correlator of two energy-momentum tensors in massless QCD. These are the three-loop contribution to the coefficient C_0 in front of the unity operator O_0=1 and the one and two-loop contributions to the coefficient C_1 in front of the gluon "condensate" operator O_1=-1/4 G^{\mu \nu} G_{\mu \nu}. For the correlator of two operators O_1 we present the coefficient C_1 at two-loop level.