AMBRE - a Mathematica package for the construction of Mellin-Barnes representations for Feynman integrals

Abstract

The Mathematica toolkit AMBRE derives Mellin-Barnes (MB) representations for Feynman integrals in d=4-2eps dimensions. It may be applied for tadpoles as well as for multi-leg multi-loop scalar and tensor integrals. AMBRE uses a loop-by-loop approach and aims at lowest dimensions of the final MB representations. The present version of AMBRE works fine for planar Feynman diagrams. The output may be further processed by the package MB for the determination of its singularity structure in eps. The AMBRE package contains various sample applications for Feynman integrals with up to six external particles and up to four loops.

26 pages, 10 figures, 1 table, in v2 typos in Eqn. 48 and Eqn. 57 corrected; the corresponding sample files are unchanged

References in corpus (4)

• Two-Loop Iteration of Five-Point N=4 Super-Yang-Mills Amplitudes
• Single Scale Tadpoles and O(GF mt^2 as^3) Corrections to the rho Parameter
• Standard and epsilon-finite Master Integrals for the rho-Parameter
• Differential equations and massive two-loop Bhabha scattering: the B5l2m3 case

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