Work

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

Year: 2014

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1407.7832

Authors: Blümlein, Johannes, Dubovyk, Ievgen, Gluza, Janusz, Ochman, Michał, Raab, Clemens G., Riemann, Tord, Schneider, Carsten

Institutions: Deutsches Elektronen-Synchrotron DESY, University of Silesia in Katowice, Johannes Kepler University of Linz, Kepler Universitätsklinikum

Language: English

Topic: Particle physics theoretical and experimental studies

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: European Commission, Deutsche Forschungsgemeinschaft, Austrian Science Fund, Research Executive Agency

Awards: G2376908942, G2549575712, G3590421808, G3819627919, G40066953, G4415730314, Symbolic Summation in Perturbative Quantum Field Theory, Advanced Particle Phenomenology in the LHC era, The Higgs quest - exploring electroweak symmetry breaking at the LHC

OpenAlex ID: W2157862241

Cites: 33

Cited by: 14

Related to: 20