$O(α_s^2)$ and $O(α_s^3)$ Heavy Flavor Contributions to Transversity at $Q^2 \gg m^2$

J. Blümlein; S. Klein; Beat Todtli

Paper

$O(α_s^2)$ and $O(α_s^3)$ Heavy Flavor Contributions to Transversity at $Q^2 \gg m^2$

Abstract

In deep-inelastic processes the heavy flavor Wilson coefficients factorize for

into the light flavor Wilson coefficients of the corresponding process and the massive operator matrix elements (OMEs). We calculate the

and

massive OME for the flavor non-singlet transversity distribution. At

the OME is obtained for general values of the Mellin variable

, while at

the moments

to 13 are computed. The terms

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.