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

The Mathematica toolkit AMBRE derives Mellin–Barnes (MB) representations for Feynman integrals in image 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 AMBRE package contains various sample applications for Feynman integrals with up to six external particles and up to four loops.