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 ɛ=(4-d)/2, has to be done with other packages. of bytes in distributed program, including test data, etc.:100 004 Distribution format:tar.gz Programming language:MATHEMATICA v.5.0 and later versions Computer:all Operating system:all RAM:sufficient for a typical installation of MATHEMATICA Classification:5 11.1 External routines:The examples in the package use: MB.m, for expansions in ɛ ĬUBA, for numerical evaluation of multidimensional integrals ĬERNlib, for the implementation of Γ and Ψ functions in Fortran. of lines in distributed program, including test data, etc.:21 387 No. Ireland Licensing provisions:standard CPC licence, No. Program summaryProgram title:AMBRE Catalogue identifier:ADZR_v1_0 Program summary URL: Program obtainable from:CPC Program Library, Queen's University, Belfast, N. The AMBRE package contains various sample applications for Feynman integrals with up to six external particles and up to four loops. The output may be further processed by the package MB for the determination of its singularity structure in ɛ. The present version works fine for planar Feynman diagrams. ![]() The package uses a loop-by-loop approach and aims at lowest dimensions of the final MB representations. It may be applied for tadpoles as well as for multi-leg multi-loop scalar and tensor integrals. The Mathematica toolkit AMBRE derives Mellin-Barnes (MB) representations for Feynman integrals in d=4-2ɛ dimensions.
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