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

Abstract

We calculate the O($\text{eps}$)--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($\text{eps}$)--term contributes in the renormalization at 3--loop order.

Comments: Proc. XXXI International Conference of Theoretical Physics: Matter To The Deepest, Ustron, Poland, 5-11 September 2007