Within the N{script} = 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{lunate}), 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. © 2012 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
Bianchi, M., Leoni, M., Mauri, A., Penati, S., Santambrogio, A. (2012). Four-points two-loop scattering amplitude in ABJM theory. FORTSCHRITTE DER PHYSIK, 60(7-8), 921-927 [10.1002/prop.201200036].
Four-points two-loop scattering amplitude in ABJM theory
BIANCHI, MARCO STEFANO;MAURI, ANDREA;PENATI, SILVIA;
2012
Abstract
Within the N{script} = 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{lunate}), 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. © 2012 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
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