New Results for a Two-Loop Massless Propagator-Type Feynman Diagram


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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 3F2 of the respective arguments −1 and 1. We also derive new representations for this diagram, which can be important in practical calculations.

About the authors

A. V. Kotikov

Bogoliubov Laboratory of Theoretical Physics

Author for correspondence.
Email: kotikov@theor.jinr.ru
Russian Federation, Dubna

S. Teber

Sorbonne Université, CNRS, Laboratoire de Physique Théorique et Hautes Energies

Email: kotikov@theor.jinr.ru
France, Paris

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