First $O(α_s^3)$ heavy flavor contributions to deeply inelastic scattering

Details First $O(α_s^3)$ heavy flavor contributions to deeply inelastic scattering First $O(α_s^3)$ heavy flavor contributions to deeply inelastic scattering

2008-06-27

arxiv.org/abs/0806.4613v1

Nucl.Phys.Proc.Suppl.183:162-167,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages, Contribution to the Proceedings of "Loops and Legs in Quantum Field Theory", 2008, Sondershausen, Germany, and DIS 20

Scientific paper

10.1016/j.nuclphysbps.2008.09.09

In the asymptotic limit $Q^2 \gg m^2$, 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 $(m^2/Q^2)^k, k > 0$. The heavy flavor operator matrix elements are known to ${\sf NLO}$. 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 $T_F^2$ in Mellin--space. In this calculation, the corresponding parts of the ${\sf NNLO}$ anomalous dimensions \cite{LARIN,MVVandim} are obtained as well.

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