The Gluonic Operator Matrix Elements at O(α_s^2) for DIS Heavy Flavor Production

I. Bierenbaum; J. Blümlein; S. Klein

Paper

The Gluonic Operator Matrix Elements at O(α_s^2) for DIS Heavy Flavor Production

Abstract

We calculate the

gluonic operator matrix elements for the twist--2 operators, which contribute to the heavy flavor Wilson coefficients in unpolarized deeply inelastic scattering in the region

, up to the linear terms in the dimensional parameter

, (

). These quantities are required for the description of parton distribution functions in the variable flavor number scheme (VFNS). The

terms contribute at the level of the

corrections through renormalization. We also comment on additional terms, which have to be considered in the fixed (FFNV) and variable flavor number scheme, adopting the

scheme for the running coupling constant.