Heavy Flavour Production in Deep--Inelastic Scattering - Two--Loop Massive Operator Matrix Elements and Beyond

TL;DR

This paper computes the two-loop massive operator matrix elements for heavy flavor contributions in deep-inelastic scattering, using advanced mathematical techniques, and discusses their role in higher-order renormalization.

Contribution

It provides the O(ε)-term of two-loop massive operator matrix elements in Mellin space, advancing the precision of heavy flavor Wilson coefficient calculations.

Findings

Calculated the O(ε)-term of two-loop massive operator matrix elements.

Used Mellin-Barnes integrals and hypergeometric functions for the computation.

Contributes to three-loop renormalization in deep-inelastic scattering.

Abstract

We calculate the O($\eps$)--term of the two--loop massive operator matrix elements for twist 2--operators, which contribute to the heavy flavour Wilson coefficients in unpolarized deep--inelastic scattering in the asymptotic limit $Q^2 \gg m^2.$ Our calculation was performed in Mellin space using Mellin--Barnes integrals and generalized hypergeometric functions. The O($\eps$)--term contributes in the renormalization at 3--loop order.