Higher order corrections to heavy flavour production in deep inelastic scattering

TL;DR

This paper investigates higher order quantum chromodynamics corrections to heavy flavor production in deep inelastic scattering, focusing on extending calculations of operator matrix elements to three-loop accuracy in the asymptotic limit.

Contribution

It extends existing NLO calculations by computing O(ε) terms of two-loop operator matrix elements and explores three-loop diagrams for improved precision.

Findings

Calculated O(ε) terms for two-loop operator matrix elements.

Initiated analysis of three-loop diagrams for heavy flavor production.

Enhanced theoretical understanding of heavy flavor contributions in deep inelastic scattering.

Abstract

In the asymptotic limit $Q^2 \gg m^2$, the non-power corrections to the heavy flavour Wilson coefficients in deep--inelastic scattering are given in terms of massless Wilson coeffcients and massive operator matrix elements. We start extending the existing NLO calculation for these operator matrix elements by calculating the O($\epsilon$) terms of the two--loop expressions and having first investigations into the three--loop diagrams needed to O($\alpha_s^3$).