Heavy Flavour Production in Deep--Inelastic Scattering - Two--Loop Massive Operator Matrix Elements and Beyond

Bierenbaum, I.; Blümlein, J.; Klein, S.

Heavy Flavour Production in Deep--Inelastic Scattering - Two--Loop Massive Operator Matrix Elements and Beyond

Authors

Bierenbaum, I.

Blümlein, J.

Klein, S.

Description

We calculate the O($\eps$)--term of the two--loop massive operator matrix elements for twist 2--operators, which contribute to the heavy flavour Wilson coefficients in unpolarized deep--inelastic scattering in the asymptotic limit $Q^2 \gg m^2.$ Our calculation was performed in Mellin space using Mellin--Barnes integrals and generalized hypergeometric functions. The O($\eps$)--term contributes in the renormalization at 3--loop order.
Proc. XXXI International Conference of Theoretical Physics: Matter To The Deepest, Ustron, Poland, 5-11 September 2007