New results for loop integrals: AMBRE, CSectors, hexagon
نویسندگان
چکیده
We report on the three Mathematica packages hexagon, CSectors, AMBRE. They are useful for the evaluation of oneand two-loop Feynman integrals with a dependence on several kinematical scales. These integrals are typically needed for LHC and ILC applications, but also for higher order corrections at meson factories. hexagon is a new package for the tensor reduction of one-loop 5-point and 6-point functions with rank R = 3 and R = 4, respectively; AMBRE is a tool for derivations of Mellin-Barnes representations; CSectors is an interface for the package sector_decomposition and allows a convenient, direct evaluation of tensor Feynman integrals.
منابع مشابه
AMBRE - a Mathematica package for the construction of Mellin-Barnes representations for Feynman integrals
The Mathematica toolkit AMBRE derives Mellin-Barnes (MB) representations for Feynman integrals in d = 4 − 2ε dimensions. It may be applied for tadpoles as well as for multileg and multiloop scalar and tensor integrals. AMBRE uses a loopby-loop approach and aims at lowest dimensions of the final MB representations. It integrates the package MB for the determination of the singularity structure i...
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