O(αs2)andO(αs3)heavy flavor contributions to transversity atQ2≫m2

Abstract

In deep-inelastic processes the heavy flavor Wilson coefficients factorize for ${Q}^{2}\ensuremath{\gg}{m}^{2}$ into the light-flavor Wilson coefficients of the corresponding process and the massive operator matrix elements (OMEs). We calculate the $O({\ensuremath{\alpha}}_{s}^{2})$ and $O({\ensuremath{\alpha}}_{s}^{3})$ massive OME for the flavor nonsinglet transversity distribution. At $O({\ensuremath{\alpha}}_{s}^{2})$ the OME is obtained for general values of the Mellin variable $N$, while at $O({\ensuremath{\alpha}}_{s}^{3})$ the moments $N=1$ to 13 are computed. The terms $\ensuremath{\propto}{T}_{F}$ of the 3-loop transversity anomalous dimension are obtained and results in the literature are confirmed. We discuss the relation of these contributions to the Soffer bound for transversity.