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The Gluonic Operator Matrix Elements at O(\alpha_s^2) for DIS Heavy Flavor Production
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.Comment: 12 pages Latex, 1 style fil