Calculation of Massive 2-Loop Operator Matrix Elements with Outer Gluon Lines

Abstract

Massive on-shell operator matrix elements and self-energy diagrams with outer gluon lines are calculated analytically at $O({\alpha }_s^2)$, using Mellin-Barnes integrals and representations through generalized hypergeometric functions. This method allows for a direct evaluation without decomposing the integrals using the integration-by-parts method.

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References in corpus (7)

• Automatized analytic continuation of Mellin-Barnes integrals
• The third-order QCD corrections to deep-inelastic scattering by photon exchange
• The Longitudinal Structure Function at the Third Order
• The Longitudinal Heavy Quark Structure Function F_{L}^{Q\bar{Q}} in the Region Q^2 \gg m^2 at O(α_s^3)
• Analytic Continuation of the Harmonic Sums for the 3--Loop Anomalous Dimensions
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• Evaluating Two-Loop massive Operator Matrix Elements with Mellin-Barnes Integrals

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