Geometrical approach to Feynman integrals and the epsilon-expansion

1999/08/04 by A. I. Davydychev, Davydychev, A. I.
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #advanced mathematical theories #hep-ph #hep-th #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.hep-th/9908032

7 pages, latex, contribution to the Proceedings of AIHENP-99 (Heraklion, Crete, Greece, April 1999)

arxiv created 1999/08/04 · openalex publication_date 1999/08/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Application of the geometrically-inspired representations to the epsilon-expansion of the two-point function with different masses is considered. Explicit result for an arbitrary term of the expansion is obtained in terms of log-sine integrals. Construction of the epsilon-expansion in the three-point case is also discussed.

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