Massless correlators of vector, scalar and tensor currents in position space at orders alpha_s^3 and alpha_s^4: explicit analytical results

TL;DR

This paper provides explicit analytical results for massless correlators of vector, scalar, and tensor currents in position space at high orders of alpha_s, aiding lattice QCD calculations and theoretical understanding.

Contribution

It delivers new high-order analytical results for massless correlators in both momentum and position space, including conversion formulas for lattice renormalization schemes.

Findings

Analytical results for correlators up to alpha_s^4 for vector and scalar currents.

Results for tensor currents up to alpha_s^3.

Explicit conversion formulas for lattice renormalization schemes.

Abstract

We present analytical results both in momentum and position space for the massless correlators of the vector and scalar currents to order alpha_s^4 as well as for the tensor currents to order alpha_s^3. The evolution equations for the correlators together with all relevant anomalous dimensions are discussed in detail. As an application we present explicit conversion formulas relating the MSbar-renormalized vector, scalar and tensor currents to their counterparts renormalized in the X-space renormalization scheme more appropriate for lattice calculations.