Abstract: (arXiv)
In the asymptotic limit Q2m2Q^2 \gg m^2, the heavy flavor Wilson coefficients for deep--inelastic scattering factorize into the massless Wilson coefficients and the universal heavy flavor operator matrix elements resulting from light--cone expansion. In this way, one can calculate all but the power corrections in (m2/Q2)k,k>0(m^2/Q^2)^k, k > 0. The heavy flavor operator matrix elements are known to NLO{\sf NLO}. We present the last 2--loop result missing in the unpolarized case for the renormalization at 3--loops and first 3--loop results for terms proportional to the color factor TF2T_F^2 in Mellin--space. In this calculation, the corresponding parts of the NNLO{\sf NNLO} anomalous dimensions \cite{LARIN,MVVandim} are obtained as well.
  • heavy quark
  • deep inelastic scattering
  • anomalous dimension
  • renormalization