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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2018 Volume 194, Number 2, Pages 331–342 (Mi tmf9340)

This article is cited in 7 papers

New results for a two-loop massless propagator-type Feynman diagram

A. V. Kotikova, S. Teberb

a Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Russia
b Sorbonne Universités, Laboratoire de Physique Théorique et Hautes Énergies, LPTHE, Paris, France

Abstract: We consider a two-loop massless propagator-type Feynman diagram with an arbitrary (noninteger) index on the central line. We analytically prove the equality of two well-known results in the literature expressing this diagram in terms of hypergeometric functions ${}_3F_2$ of the respective arguments $-1$ and $1$. We also derive new representations for this diagram, which can be important in practical calculations.

Keywords: Feynman diagram, multiloop calculation, hypergeometric function.

Received: 20.01.2017
Revised: 01.03.2017

DOI: 10.4213/tmf9340


 English version:
Theoretical and Mathematical Physics, 2018, 194:2, 284–294

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