Moments of Heavy Quark Current Correlators at Four-Loop Order in Perturbative QCD

TL;DR

This paper provides four-loop order calculations of moments of heavy quark current correlators in perturbative QCD, reducing theoretical uncertainties in fundamental parameter determinations.

Contribution

It presents the first four-loop order results for the first moments of scalar and axial-vector correlators, and details a recent evaluation of the pseudo-scalar correlator.

Findings

First four-loop order results for correlator moments

Reduced theoretical uncertainties in QCD parameter extraction

Enhanced precision for lattice QCD calculations

Abstract

We present the result for the first moment of the scalar and axial-vector current correlator in third order of the strong coupling constant alpha_s and give the details of a recent evaluation of the pseudo-scalar correlator. The results can be used to reduce the theoretical uncertainty due to higher order corrections for the determination of fundamental parameters of QCD in the context of lattice calculations.