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

Published: 01-12-2007| Version 1 | DOI: 10.17632/4t4ssjfryb.1
J. Gluza,
K. Kajda,
Tord Riemann


Abstract The Mathematica toolkit AMBRE derives Mellin-Barnes (MB) representations for Feynman integrals in d = 4 - 2 ε dimensions. It may be applied for tadpoles as well as for multi-leg multi-loop scalar and tensor integrals. The package uses a loop-by-loop approach and aims at lowest dimensions of the final MB representations. The present version works fine for planar Feynman diagrams. The output may be further processed by the package MB for the determination of its singularity structure in ε. The ... Title of program: AMBRE Catalogue Id: ADZR_v1_0 Nature of problem Derivation of a representation for a Feynman diagram with L loops and N internal lines in d dimensions by Mellin-Barnes integrals; the subsequent evaluation, after an analytical continuation in ε = (4 -d)/2, has to be done with other packages. Versions of this program held in the CPC repository in Mendeley Data ADZR_v1_0; AMBRE; 10.1016/j.cpc.2007.07.001 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)