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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