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.

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

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• New features of FORM
• The Multithreaded version of FORM
• Some higher moments of deep inelastic structure functions at next-to-next-to leading order of perturbative QCD
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Cited by in corpus (5)

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• The Gluonic Operator Matrix Elements at O(α_s^2) for DIS Heavy Flavor Production
• Determining the closed forms of the $O(a_s^3)$ anomalous dimensions and Wilson coefficients from Mellin moments by means of computer algebra
• $O({\alpha }_s^2)$ and $O({\alpha }_s^3)$ Heavy Flavor Contributions to Transversity at $Q^2\gg m^2$