New Results for a Two-Loop Massless Propagator-Type Feynman Diagram
- Authors: Kotikov A.V.1, Teber S.2
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Affiliations:
- Bogoliubov Laboratory of Theoretical Physics
- Sorbonne Université, CNRS, Laboratoire de Physique Théorique et Hautes Energies
- Issue: Vol 194, No 2 (2018)
- Pages: 284-294
- Section: Article
- URL: https://journals.rcsi.science/0040-5779/article/view/171645
- DOI: https://doi.org/10.1134/S0040577918020083
- ID: 171645
Cite item
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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