Heavy flavor operator matrix elements at $O(a_s^3)$

Abstract

The heavy quark effects in deep--inelastic scattering in the asymptotic regime $Q^2\gg m^2$ can be described by heavy flavor operator matrix elements. Complete analytic expressions for these objects are currently known to $\mathsf{NLO}$. We present first results for fixed moments at $\mathsf{NNLO}$. This involves a recalculation of fixed moments of the corresponding $\mathsf{NNLO}$ anomalous dimensions, which we thereby confirm.

Comments: 6 pages latex, 1 figure, Proceedings of: 8th Conference Quark Confinement and the Hadron Spectrum, September 1-6, 2008