New Heavy Flavor Contributions to the DIS Structure Function $F_2(x,Q^2)$ at $O(\alpha_s^3)

TL;DR

This paper presents advanced calculations of heavy flavor contributions to the deep inelastic scattering structure function F2 at three-loop order, highlighting new mathematical functions encountered in the process.

Contribution

It introduces novel harmonic sums and polylogarithms arising in the calculation of massive Wilson coefficients at O(α_s^3).

Findings

Calculation of massive Wilson coefficients at three-loop order.

Identification of new harmonic sums and polylogarithms.

Results applicable for Q^2/m^2 ≥ 10.

Abstract

We report on recent results obtained for the massive Wilson coefficients which contribute to the structure function $F_2(x,Q^2)$ at $O(\alpha_s^3)$ in the region $Q^2/m^2 \gsim 10$. In the calculation new species of harmonic sums and harmonic polylogarithms generated by cyclotomic polynomials arise in intermediary results which are briefly discussed.