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Zapiski Nauchnykh Seminarov POMI, 2020, Volume 494, Pages 144–167 (Mi znsl6985)  
Mellin–Barnes transformation for two-loop master-diagrams

S. E. Derkacheva, A. V. Ivanova, L. A. Shumilovb

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
b Alferov Federal State Budgetary Institution of Higher Education and Science Saint Petersburg National Research Academic University of the Russian Academy of Sciences, St. Petersburg
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Abstract: In the paper, we obtain an expression for a two-loop master-diagram by using the Mellin–Barnes transformation. In the two-dimensional case we managed to factorize the answer and write it as a bilinear combination of hypergeometric functions ${}_3F_2$.
Key words and phrases: Mellin–Barnes transformation, chain relation, two-loop diagram, separated variables.
Funding agency Grant number
Russian Science Foundation 19-11-00131
Contest «Young Russian Mathematics»
Received: 16.10.2020
Document Type: Article
Language: Russian
Citation: S. E. Derkachev, A. V. Ivanov, L. A. Shumilov, “Mellin–Barnes transformation for two-loop master-diagrams”, Questions of quantum field theory and statistical physics. Part 27, Zap. Nauchn. Sem. POMI, 494, POMI, St. Petersburg, 2020, 144–167
Citation in format AMSBIB
\Bibitem{DerIvaShu20}
\by S.~E.~Derkachev, A.~V.~Ivanov, L.~A.~Shumilov
\paper Mellin--Barnes transformation for two-loop master-diagrams
\inbook Questions of quantum field theory and statistical physics. Part~27
\serial Zap. Nauchn. Sem. POMI
\yr 2020
\vol 494
\pages 144--167
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6985}
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  • https://www.mathnet.ru/eng/znsl/v494/p144
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