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

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 $Q^2/m^2\text{gsim}10$. In the calculation new species of harmonic sums and harmonic polylogarithms generated by cyclotomic polynomials arise in intermediary results which are briefly discussed.

Comments: 8 pages, 1 figure, Contribution to the Proceedings of RADCOR 2011