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

arXiv:0812.2427

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 ${\sf NLO}$. We present first results for fixed moments at ${\sf NNLO}$. This involves a recalculation of fixed moments of the corresponding ${\sf NNLO}$ anomalous dimensions, which we thereby confirm.

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