Three-loop octagons and n-gons in maximally supersymmetric Yang-Mills theory

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Three-loop octagons and n-gons in maximally supersymmetric Yang-Mills theory. / Caron Huot, Simon; He, Song.

I: Journal of High Energy Physics (Online), Bind 2013, Nr. 101, 1308, 13.05.2013.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Caron Huot, S & He, S 2013, 'Three-loop octagons and n-gons in maximally supersymmetric Yang-Mills theory', Journal of High Energy Physics (Online), bind 2013, nr. 101, 1308. <http://arxiv.org/pdf/1305.2781.pdf>

APA

Caron Huot, S., & He, S. (2013). Three-loop octagons and n-gons in maximally supersymmetric Yang-Mills theory. Journal of High Energy Physics (Online), 2013(101), [1308]. http://arxiv.org/pdf/1305.2781.pdf

Vancouver

Caron Huot S, He S. Three-loop octagons and n-gons in maximally supersymmetric Yang-Mills theory. Journal of High Energy Physics (Online). 2013 maj 13;2013(101). 1308.

Author

Caron Huot, Simon ; He, Song. / Three-loop octagons and n-gons in maximally supersymmetric Yang-Mills theory. I: Journal of High Energy Physics (Online). 2013 ; Bind 2013, Nr. 101.

Bibtex

@article{a54178837e5f4519ac0f58d16656f7f7,
title = "Three-loop octagons and n-gons in maximally supersymmetric Yang-Mills theory",
abstract = "We study the S-matrix of planar = 4 supersymmetric Yang-Mills theory when external momenta are restricted to a two-dimensional subspace of Minkowski space. We find significant simplifications and new, interesting structures for tree and loop amplitudes in two-dimensional kinematics, in particular, the higher-point amplitudes we consider can be obtained from those with lowest-points by a collinear uplifting. Based on a compact formula for one-loop N(2)MHV amplitudes, we use an equation proposed previously to compute, for the first time, the complete two-loop NMHV and three-loop MHV octagons, which we conjecture to uplift to give the full n-point amplitudes up to simpler logarithmic terms or dilogarithmic terms.",
author = "{Caron Huot}, Simon and Song He",
year = "2013",
month = may,
day = "13",
language = "English",
volume = "2013",
journal = "Journal of High Energy Physics (Online)",
issn = "1126-6708",
publisher = "Springer",
number = "101",

}

RIS

TY - JOUR

T1 - Three-loop octagons and n-gons in maximally supersymmetric Yang-Mills theory

AU - Caron Huot, Simon

AU - He, Song

PY - 2013/5/13

Y1 - 2013/5/13

N2 - We study the S-matrix of planar = 4 supersymmetric Yang-Mills theory when external momenta are restricted to a two-dimensional subspace of Minkowski space. We find significant simplifications and new, interesting structures for tree and loop amplitudes in two-dimensional kinematics, in particular, the higher-point amplitudes we consider can be obtained from those with lowest-points by a collinear uplifting. Based on a compact formula for one-loop N(2)MHV amplitudes, we use an equation proposed previously to compute, for the first time, the complete two-loop NMHV and three-loop MHV octagons, which we conjecture to uplift to give the full n-point amplitudes up to simpler logarithmic terms or dilogarithmic terms.

AB - We study the S-matrix of planar = 4 supersymmetric Yang-Mills theory when external momenta are restricted to a two-dimensional subspace of Minkowski space. We find significant simplifications and new, interesting structures for tree and loop amplitudes in two-dimensional kinematics, in particular, the higher-point amplitudes we consider can be obtained from those with lowest-points by a collinear uplifting. Based on a compact formula for one-loop N(2)MHV amplitudes, we use an equation proposed previously to compute, for the first time, the complete two-loop NMHV and three-loop MHV octagons, which we conjecture to uplift to give the full n-point amplitudes up to simpler logarithmic terms or dilogarithmic terms.

M3 - Journal article

VL - 2013

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

SN - 1126-6708

IS - 101

M1 - 1308

ER -

ID: 104031533