Z-Sum Approach to Loop Integrals using Taylor Expansion

Abstract

We study the applicability of the Z-Sum approach to multi-loop calculations with massive particles in perturbative quantum field theory. We systematically analyze the case of one-loop scalar integrals, which represent the building blocks of any higher-loop calculation. We focus in particular on triangle one-loop integrals and identify strengths and limitations of the Z-Sum approach, extending our results to the case of one-loop box integrals when appropriate. We conclude with the calculation of a specific physical example: the calculation of heavy-flavor corrections to deep-inelastic-scattering structure functions.

38 pages, 4 figures, and 8 tables

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Cited by in corpus (2)

• The Epsilon Expansion of Feynman Diagrams via Hypergeometric Functions and Differential Reduction
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