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

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

2009-01-06

arxiv.org/abs/0901.0669v1

Phys.Lett.B672:401-406,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages Latex, 1 style file

Scientific paper

10.1016/j.physletb.2009.01.057

We calculate the $O(\alpha_s^2)$ 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 $Q^2 \gg m^2$, up to the linear terms in the dimensional parameter $\varepsilon$, ($D= 4 + \varepsilon$). These quantities are required for the description of parton distribution functions in the variable flavor number scheme (VFNS). The $O(\alpha_s^2 \varepsilon)$ terms contribute at the level of the $O(\alpha_s^3)$ 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 $\overline{\rm MS}$ scheme for the running coupling constant.

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