2- and 3-Loop Heavy Flavor Corrections to Transversity

TL;DR

This paper presents detailed calculations of two- and three-loop heavy flavor corrections to transversity, providing new results for operator matrix elements and anomalous dimensions crucial for understanding spin-dependent structure functions.

Contribution

It provides the first complete two-loop operator matrix elements and the first thirteen Mellin moments at three-loop order for transversity, advancing precision in heavy flavor corrections.

Findings

Complete two-loop operator matrix elements obtained

Thirteen Mellin moments calculated at three-loop order

Moments of transversity anomalous dimension derived

Abstract

We calculate the two- and three-loop massive operator matrix elements (OMEs) contributing to the heavy flavor Wilson coefficients of transversity. We obtain the complete result for the two-loop OMEs and compute the first thirteen Mellin moments at three-loop order. As a by-product of the calculation, the moments N=1 to 13 of the complete two-loop and the $T_F$-part of the three-loop transversity anomalous dimension are obtained.