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A.V. Belitsky, Alexander V. Smirnov, Vladimir A. Smirnov
Abstract
We address the problem of evaluation of multiloop Feynman integrals by means of their Mellin-Barnes representation. After a brief overview of available capabilities through open source toolkits and their application in various circumstances, we introduce a new code MBcreate which allows one to automatically deduce a concise Mellin-Barnes representation for a given parametric integral. A thorough discussion of its implementation and use is provided.
Topics & Concepts
Representation (politics)Computer scienceCode (set theory)Feynman integralParametric statisticsMellin transformAlgebra over a fieldFeynman diagramProgramming languageCalculus (dental)AlgorithmMathematicsPure mathematicsMathematical analysisStatisticsLawMathematical physicsPoliticsSet (abstract data type)Political scienceDentistryMedicineLaplace transformParticle physics theoretical and experimental studiesBlack Holes and Theoretical PhysicsAlgebraic and Geometric Analysis