Two-Loop Massive Operator Matrix Elements for Polarized and Unpolarized Deep-Inelastic Scattering

TL;DR

This paper computes two-loop massive operator matrix elements for polarized and unpolarized deep-inelastic scattering at high energy, providing more compact formulas and confirming previous results.

Contribution

It presents a new calculation of two-loop massive operator matrix elements in Mellin space without integration-by-parts, improving compactness and confirming earlier findings.

Findings

Confirmed previous results for operator matrix elements.

Provided more compact mathematical representations.

Validated calculations at asymptotic energy scales.

Abstract

The $O(\alpha_s^2)$ massive operator matrix elements for unpolarized and polarized heavy flavor production at asymptotic values $Q^2 >> m^2$ are calculated in Mellin space without applying the integration-by-parts method. We confirm previous results given in Refs. \cite{BU1,BU2}, however, obtain much more compact representations.