On the Resolution of Singularities of Multiple Mellin-Barnes Integrals
A.V. Smirnov, V.A. Smirnov
TL;DR
This paper presents a modified strategy and algorithm for resolving singularities in multifold Mellin-Barnes integrals, implemented as a Mathematica package, enhancing computational approaches in this area.
Contribution
The authors reformulate one of the main strategies for resolving singularities of Mellin-Barnes integrals and provide a practical implementation in Mathematica.
Findings
The modified algorithm effectively resolves singularities in complex Mellin-Barnes integrals.
Implementation as MBresolve.m facilitates computational applications.
The approach improves upon existing methods in terms of efficiency and accuracy.
Abstract
One of the two existing strategies of resolving singularities of multifold Mellin-Barnes integrals in the dimensional regularization parameter, or a parameter of the analytic regularization, is formulated in a modified form. The corresponding algorithm is implemented as a Mathematica code MBresolve.m
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