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Four‐points two‐loop scattering amplitude in ABJM theory
Author(s) -
Bianchi M.S.,
Leoni M.,
Mauri A.,
Penati S.,
Santambrogio A.
Publication year - 2012
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.201200036
Subject(s) - feynman integral , scalar (mathematics) , feynman diagram , scattering amplitude , amplitude , physics , mathematical physics , regularization (linguistics) , string theory , superspace , dimensional regularization , scattering , theoretical physics , quantum electrodynamics , mathematics , supersymmetry , quantum mechanics , renormalization , geometry , computer science , artificial intelligence
Within the = 2 superspace perturbative formulation of ABJM theory, we derive the set of scalar Feynman integrals describing the four‐point scattering amplitude of chiral matter fields. Using dimensional regularization (D = 3 ‐ 2ϵ), we evaluate the integrals on‐shell and we compare the result with that of a Wilson‐loop computed in a light‐like tetragon contour: we find matching results between both calculations after identifying the kinematical invariants. We discuss further implications and open questions. This work is a contribution to the proceedings of the ‘XVIIth European Workshop on String Theory 2011’ held in Padua, Italy, on September 2011.