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

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dc.creatorBierenbaum, I.
dc.creatorBlümlein, J.
dc.creatorKlein, S.
dc.date2008-06-27
dc.date.accessioned2026-07-07T12:14:51Z
dc.date.available2026-07-07T12:14:51Z
dc.descriptionIn 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.
dc.description6 pages, Contribution to the Proceedings of "Loops and Legs in Quantum Field Theory", 2008, Sondershausen, Germany, and DIS 2008, London, UK
dc.identifierhttps://arxiv.org/abs/0806.4613
dc.identifierhttp://arxiv.org/abs/0806.4613
dc.identifierNucl.Phys.Proc.Suppl.183:162-167,2008
dc.identifierdoi:10.1016/j.nuclphysbps.2008.09.098
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211332
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Experiment
dc.subjectHigh Energy Physics - Lattice
dc.titleFirst $O(α_s^3)$ heavy flavor contributions to deeply inelastic scattering
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