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.

Categories: hep-ph hep-ex

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