Heavy Flavor DIS Wilson coefficients in the asymptotic regime

TL;DR

This paper presents advanced calculations of heavy flavor contributions to the structure function F2 in deep inelastic scattering at NNLO, including all but power-suppressed terms, confirming anomalous dimensions and providing new all-N results.

Contribution

It provides the first all-N results for O(n_f) terms at three loops and genuine three-loop ladder diagram calculations for general Mellin N, advancing theoretical precision.

Findings

Confirmed parts of three-loop anomalous dimensions.

Provided all-N results for O(n_f) terms.

Reported first three-loop ladder diagram results.

Abstract

We report on results for the heavy flavor contributions to $F_2(x,Q^2)$ in the limit $Q^2\gg m^2$ at {\sf NNLO}. By calculating the massive $3$--loop operator matrix elements, we account for all but the power suppressed terms in $m^2/Q^2$. Recently, the calculation of fixed Mellin moments of all $3$--loop massive operator matrix elements has been finished. We present new all--$N$ results for the $O(n_f)$--terms, thereby confirming the corresponding parts of the $3$--loop anomalous dimensions. Additionally, we report on first genuine $3$--loop results of the ladder--type diagrams for general values of the Mellin variable $N$.