Automatizing the application of Mellin-Barnes representations for Feynman integrals

Abstract

Feynman diagrams may be evaluated by Mellin-Barnes representations of their Feynman parameter integrals in d=4-2\eps dimensions. Recently, the Mathematica toolkit AMBRE has been developed for the automatic derivation of such representations with a loop-by-loop approach. We describe the package and exemplify its use with the \eps-expansion of the massive one-loop QED vertex function.

10 pages, contribution to proceedings of ACAT, Amsterdam, The Netherlands, April 23-27, 2007, several (trivial) typos corrected

References in corpus (10)

• Harmonic Polylogarithms
• Automatized analytic continuation of Mellin-Barnes integrals
• Harmonic Sums and Mellin Transforms up to two-loop Order
• Massive Feynman diagrams and inverse binomial sums
• New results for the epsilon-expansion of certain one-, two- and three-loop Feynman diagrams
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• Expansion around half-integer values, binomial sums and inverse binomial sums
• Analytical Result for Dimensionally Regularized Massive On-Shell Planar Double Box
• Master integrals for massive two-loop Bhabha scattering in QED
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Cited by in corpus (6)

• HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters
• Non-planar Feynman integrals, Mellin-Barnes representations, multiple sums
• New results for loop integrals: AMBRE, CSectors, hexagon
• New results for 5-point functions
• A new treatment of mixed virtual and real IR-singularities
• Applying Mellin-Barnes technique and Groebner bases to the three-loop static potential