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Title: A cluster bootstrap for two-loop MHV amplitudes

Abstract

We apply a bootstrap procedure to two-loop MHV amplitudes in planar N=4 super-Yang-Mills theory. We argue that the mathematically most complicated part (the Λ 2 B 2 coproduct component) of the n-particle amplitude is uniquely determined by a simple cluster algebra property together with a few physical constraints (dihedral symmetry, analytic structure, supersymmetry, and well-defined collinear limits). Finally, we present a concise, closed-form expression which manifests these properties for all n.

Authors:
 [1];  [1]
  1. Brown Univ., Providence, RI (United States). Dept. of Physics
Publication Date:
Research Org.:
Brown Univ., Providence, RI (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1454722
Grant/Contract Number:  
SC0010010
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2015; Journal Issue: 2; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Supersymmetric gauge theory; Scattering Amplitudes

Citation Formats

Golden, John, and Spradlin, Marcus. A cluster bootstrap for two-loop MHV amplitudes. United States: N. p., 2015. Web. doi:10.1007/JHEP02(2015)002.
Golden, John, & Spradlin, Marcus. A cluster bootstrap for two-loop MHV amplitudes. United States. doi:10.1007/JHEP02(2015)002.
Golden, John, and Spradlin, Marcus. Mon . "A cluster bootstrap for two-loop MHV amplitudes". United States. doi:10.1007/JHEP02(2015)002. https://www.osti.gov/servlets/purl/1454722.
@article{osti_1454722,
title = {A cluster bootstrap for two-loop MHV amplitudes},
author = {Golden, John and Spradlin, Marcus},
abstractNote = {We apply a bootstrap procedure to two-loop MHV amplitudes in planar N=4 super-Yang-Mills theory. We argue that the mathematically most complicated part (the Λ2 B2 coproduct component) of the n-particle amplitude is uniquely determined by a simple cluster algebra property together with a few physical constraints (dihedral symmetry, analytic structure, supersymmetry, and well-defined collinear limits). Finally, we present a concise, closed-form expression which manifests these properties for all n.},
doi = {10.1007/JHEP02(2015)002},
journal = {Journal of High Energy Physics (Online)},
number = 2,
volume = 2015,
place = {United States},
year = {2015},
month = {2}
}

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Cited by: 16 works
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