Two--Loop Massive Operator Matrix Elements for Unpolarized Heavy Flavor Production to $O(ε)

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dc.creatorBierenbaum, Isabella
dc.creatorBlümlein, Johannes
dc.creatorKlein, Sebastian
dc.creatorSchneider, Carsten
dc.date2008-03-03
dc.date.accessioned2026-07-07T11:48:51Z
dc.date.available2026-07-07T11:48:51Z
dc.descriptionWe calculate the $O(α_s^2)$ massive operator matrix elements for the twist--2 operators, which contribute to the heavy flavor Wilson coefficients in unpolarized deeply inelastic scattering in the region $Q^2 \gg m^2$, up to the $O(ε)$ contributions. These terms contribute through the renormalization of the $O(α_s^3)$ heavy flavor Wilson coefficients of the structure function $F_2(x,Q^2)$. The calculation has been performed using light--cone expansion techniques without using the integration-by-parts method. We represent the individual Feynman diagrams by generalized hypergeometric structures, the $ε$--expansion of which leads to infinite sums depending on the Mellin variable $N$. These sums are finally expressed in terms of nested harmonic sums using the general summation techniques implemented in the {\tt Sigma} package.
dc.description42 papges, 2 style files, 3 figures
dc.identifierhttps://arxiv.org/abs/0803.0273
dc.identifierhttp://arxiv.org/abs/0803.0273
dc.identifierNucl.Phys.B803:1-41,2008
dc.identifierdoi:10.1016/j.nuclphysb.2008.05.016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/203028
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectMathematical Physics
dc.titleTwo--Loop Massive Operator Matrix Elements for Unpolarized Heavy Flavor Production to $O(ε)
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