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arXiv · 1407.7832

Non-planar Feynman integrals, Mellin-Barnes representations, multiple sums

Johannes Blümlein·Ievgen Dubovyk·Janusz Gluza·Michał Ochman·Clemens G. Raab·Tord Riemann·Carsten Schneider
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Abstract

The construction of Mellin-Barnes (MB) representations for non-planar Feynman diagrams and the summation of multiple series derived from general MB representations are discussed. A basic version of a new package AMBREv.3.0 is supplemented. The ultimate goal of this project is the automatic evaluation of MB representations for multiloop scalar and tensor Feynman integrals through infinite sums, preferably with analytic solutions. We shortly describe a strategy of further algebraic summation.

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Johannes Blümlein, Ievgen Dubovyk, Janusz Gluza, Michał Ochman, Clemens G. Raab, Tord Riemann, Carsten Schneider. 2014-07-29. Non-planar Feynman integrals, Mellin-Barnes representations, multiple sums. https://arxiv.org/abs/1407.7832

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