Counting the number of master integrals for sunrise-type Feynman diagrams via Mellin-Barnes representation
Mikhail Yu. Kalmykov, Bernd A.Kniehl

TL;DR
This paper explicitly evaluates the number of irreducible master integrals for sunrise-type and bubble Feynman diagrams with arbitrary masses and momenta using Mellin-Barnes representation.
Contribution
It provides a method to count and evaluate master integrals for complex Feynman diagrams with generic parameters.
Findings
Explicit evaluation of master integrals for sunrise-type diagrams.
Application of Mellin-Barnes representation to count irreducible integrals.
Enhanced understanding of Feynman diagram integral structures.
Abstract
A number of irreducible master integrals for L-loop sunrise-type and bubble Feynman diagrams with generic values of masses and external momenta are explicitly evaluated via Mellin-Barnes representation.
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