Two-loop Sudakov form factor in ABJM
Two-loop Sudakov form factor in ABJM
We compute the two-loop Sudakov form factor in three-dimensional N=6 superconformal Chern-Simons theory, using generalised unitarity. As an intermediate step, we derive the non-planar part of the one-loop four-point amplitude in terms of box integrals. Our result for the Sudakov form factor is given by a single non-planar tensor integral with uniform degree of transcendentality, and is in agreement with the known infrared divergences of two-loop amplitudes in ABJM theory. We also discuss a number of interesting properties satisfied by related three-dimensional integral functions.
hep-th
Brandhuber, Andreas
78d57a29-ca4a-4179-90d3-d554551e8f49
Gurdogan, Omer
841de8b6-4eb2-407f-a4c4-c8136403794d
Korres, Dimitrios
ac0c9a8f-03be-41a9-a8a8-866404b678b9
Mooney, Robert
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Travaglini, Gabriele
fac8c607-f5af-46d1-a659-06bf823f90c3
2013
Brandhuber, Andreas
78d57a29-ca4a-4179-90d3-d554551e8f49
Gurdogan, Omer
841de8b6-4eb2-407f-a4c4-c8136403794d
Korres, Dimitrios
ac0c9a8f-03be-41a9-a8a8-866404b678b9
Mooney, Robert
e6c6bc24-17d0-4917-81be-2e5cfa38b9b9
Travaglini, Gabriele
fac8c607-f5af-46d1-a659-06bf823f90c3
Brandhuber, Andreas, Gurdogan, Omer, Korres, Dimitrios, Mooney, Robert and Travaglini, Gabriele
(2013)
Two-loop Sudakov form factor in ABJM.
Journal of High Energy Physics, 22.
(doi:10.1007/JHEP11(2013)022).
Abstract
We compute the two-loop Sudakov form factor in three-dimensional N=6 superconformal Chern-Simons theory, using generalised unitarity. As an intermediate step, we derive the non-planar part of the one-loop four-point amplitude in terms of box integrals. Our result for the Sudakov form factor is given by a single non-planar tensor integral with uniform degree of transcendentality, and is in agreement with the known infrared divergences of two-loop amplitudes in ABJM theory. We also discuss a number of interesting properties satisfied by related three-dimensional integral functions.
Text
1305.2421v1
- Author's Original
More information
Accepted/In Press date: 27 September 2013
e-pub ahead of print date: 4 November 2013
Published date: 2013
Keywords:
hep-th
Identifiers
Local EPrints ID: 479762
URI: http://eprints.soton.ac.uk/id/eprint/479762
ISSN: 1126-6708
PURE UUID: bd6f71f2-fdb3-4abb-a8c9-ab373d7fb64f
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Date deposited: 26 Jul 2023 16:58
Last modified: 06 Dec 2024 17:40
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Contributors
Author:
Andreas Brandhuber
Author:
Dimitrios Korres
Author:
Robert Mooney
Author:
Gabriele Travaglini
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