Heavy Flavor Wilson Coefficients in Deep-Inelastic Scattering: Recent Results

TL;DR

This paper reports recent analytic 3-loop corrections to heavy flavor Wilson coefficients in deep-inelastic scattering, utilizing advanced methods like large moments and solving complex differential equations for master integrals.

Contribution

It provides new analytic results for 3-loop corrections to the operator matrix element $A_{Qg}^{(3)}$, advancing precision calculations in QCD.

Findings

Analytic 3-loop corrections for $A_{Qg}^{(3)}$ obtained.

Use of large moments method for complex calculations.

Solutions to differential equations for master integrals achieved.

Abstract

We present recent analytic results for the 3-loop corrections to the massive operator matrix element $A_{Qg}^{(3)}$for further color factors. These results have been obtained using the method of arbitrarily large moments. We also give an overview on the results which were obtained solving all difference and differential equations for the corresponding master integrals that factorize at first order.