Evaluating multiloop Feynman integrals by Mellin-Barnes representation
نویسندگان
چکیده
منابع مشابه
Evaluating multiloop Feynman integrals by Mellin-Barnes representation
When calculating physical quantities that describe a given process one needs to evaluate a lot of Feynman integrals. After a tensor reduction based on some projectors (see, e.g., [1]) a given Feynman graph generates various scalar Feynman integrals that have the same structure of the integrand with various distributions of powers of propagators. A straightforward analytical strategy is to evalu...
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One year ago Henn suggested a new approach to solve differential equations for multiloop Feyn-man integrals. It is based on the notion of uniform transcendentality. A brief review of applications of this approach is presented.
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I describe a package written in MATHEMATICA that automatizes typical operations performed during evaluation of Feynman graphs with Mellin-Barnes (MB) techniques. The main procedure allows to analytically continue a MB integral in a given parameter without any intervention from the user and thus to resolve the singularity structure in this parameter. The package can also perform numerical integr...
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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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ژورنال
عنوان ژورنال: Nuclear Physics B - Proceedings Supplements
سال: 2004
ISSN: 0920-5632
DOI: 10.1016/j.nuclphysbps.2004.09.024