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Mellin-Barnes and the method of brackets

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arxiv 2108.09421 v1 pith:5ZLEK4LM submitted 2021-08-21 math.CV hep-phmath-phmath.MPmath.NT

Ivan Gonzalez , Igor Kondrashuk , Victor H. Moll , Luis M. Recabarren This is my paper · ORCID
classification math.CVhep-phmath-phmath.MPmath.NT
keywords methodbracketsevaluationintegralmellin-barnesseriesapplicationbracket
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The method of brackets is a method for the evaluation of definite integrals based on a small number of rules. This is employed here for the evaluation of Mellin-Barnes integral. The fundamental idea is to transform these integral representations into a bracket series to obtain their values. The expansion of the gamma function in such a series constitute the main part of this new application. The power and flexibility of this procedure is illustrated with a variety of examples.

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  1. A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals

    hep-ph 2024-12 conditional novelty 5.0 of 10

    A five-fold Mellin-Barnes integral for the massless box diagram is reduced to a two-fold triangle integral using analytical regularization and residue calculus, without Barnes lemmas.

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