Heavy flavour corrections to polarised and unpolarised deep-inelastic scattering at 3-loop order

TL;DR

This paper advances the calculation of 3-loop heavy flavour corrections to deep-inelastic scattering structure functions, providing new Wilson coefficients for both polarised and unpolarised cases at high momentum transfer.

Contribution

It presents the first complete 3-loop order calculations of heavy flavour Wilson coefficients for various structure functions in deep-inelastic scattering.

Findings

Calculated non-singlet contributions to $F_2$, $xF_3$, and $g_1$ structure functions.

Derived heavy flavour contributions to Gross-Llewellyn-Smith and Bjorken sum rules.

Enhanced precision in theoretical predictions for lepton-nucleon scattering.

Abstract

We report on progress in the calculation of 3-loop corrections to the deep-inelastic structure functions from massive quarks in the asymptotic region of large momentum transfer $Q^2$. Recently completed results allow us to obtain the $O(a_s^3)$ contributions to several heavy flavour Wilson coefficients which enter both polarised and unpolarised structure functions for lepton-nucleon scattering. In particular, we obtain the non-singlet contributions to the unpolarised structure functions $F_2(x,Q^2)$ and $x F_3(x,Q^2)$ and the polarised structure function $g_1(x,Q^2)$. From these results we also obtain the heavy flavour contributions to the Gross-Llewellyn-Smith and the Bjorken sum rules.