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Teoreticheskaya i Matematicheskaya Fizika, 2018, Volume 194, Number 2, Pages 331–342
DOI: https://doi.org/10.4213/tmf9340 (Mi tmf9340) 		 
This article is cited in 6 scientific papers (total in 6 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
Full-text PDF (475 kB) Citations (6)
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DOI: https://doi.org/10.4213/tmf9340
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.
Funding agency Grant number
Russian Foundation for Basic Research 16-02-00790_a
Centre National de la Recherche Scientifique
The research of A. V. Kotikov was supported by the Russian Foundation for Basic Research (Grant No. 16-02-00790_a). This research was supported by the Sorbonne Université (Université Pierre et Marie Curie) and CNRS.
Received: 20.01.2017
Revised: 01.03.2017
English version:
Theoretical and Mathematical Physics, 2018, Volume 194, Issue 2, Pages 284–294
DOI: https://doi.org/10.1134/S0040577918020083
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Kotikov, S. Teber, “New results for a two-loop massless propagator-type Feynman diagram”, TMF, 194:2 (2018), 331–342; Theoret. and Math. Phys., 194:2 (2018), 284–294
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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