S. E. Derkachev, A. V. Ivanov, L. A. Shumilov, “Mellin–Barnes transformation for two-loop master-diagrams”, Zap. Nauchn. Sem. POMI, 2020, Volume 494,Pages <nobr>144

Mellin–Barnes transformation for two-loop master-diagrams

S. E. Derkachev^a, A. V. Ivanov^a, L. A. Shumilov^b

^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

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.

Received: 16.10.2020