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Title: Bootstrapping a five-loop amplitude using Steinmann relations

Here, the analytic structure of scattering amplitudes is restricted by Steinmann relations, which enforce the vanishing of certain discontinuities of discontinuities. We show that these relations dramatically simplify the function space for the hexagon function bootstrap in planar maximally supersymmetric Yang-Mills theory. Armed with this simplification, along with the constraints of dual conformal symmetry and Regge exponentiation, we obtain the complete five-loop six-particle amplitude.
Authors:
 [1] ;  [2] ;  [3] ;  [4]
  1. Univ. of Copenhagen, Copenhagen (Denmark); McGill Univ., Montreal, QC (Canada)
  2. SLAC National Accelerator Lab., Menlo Park, CA (United States); Univ. of California, Santa Barbara, CA (United States)
  3. SLAC National Accelerator Lab., Menlo Park, CA (United States)
  4. Perimeter Institute for Theoretical Physics, Waterloo, ON (Canada)
Publication Date:
Report Number(s):
SLAC-PUB-16811
Journal ID: ISSN 0031-9007; PRLTAO; arXiv:1609.00669
Grant/Contract Number:
AC02-76SF00515; AC02–76SF00515
Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 117; Journal Issue: 24; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Research Org:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; phenomenology-HEP; theory-HEP; HEPPH; HEPTH
OSTI Identifier:
1327480
Alternate Identifier(s):
OSTI ID: 1334356

Caron-Huot, Simon, Dixon, Lance J., McLeod, Andrew, and von Hippel, Matt. Bootstrapping a five-loop amplitude using Steinmann relations. United States: N. p., Web. doi:10.1103/PhysRevLett.117.241601.
Caron-Huot, Simon, Dixon, Lance J., McLeod, Andrew, & von Hippel, Matt. Bootstrapping a five-loop amplitude using Steinmann relations. United States. doi:10.1103/PhysRevLett.117.241601.
Caron-Huot, Simon, Dixon, Lance J., McLeod, Andrew, and von Hippel, Matt. 2016. "Bootstrapping a five-loop amplitude using Steinmann relations". United States. doi:10.1103/PhysRevLett.117.241601. https://www.osti.gov/servlets/purl/1327480.
@article{osti_1327480,
title = {Bootstrapping a five-loop amplitude using Steinmann relations},
author = {Caron-Huot, Simon and Dixon, Lance J. and McLeod, Andrew and von Hippel, Matt},
abstractNote = {Here, the analytic structure of scattering amplitudes is restricted by Steinmann relations, which enforce the vanishing of certain discontinuities of discontinuities. We show that these relations dramatically simplify the function space for the hexagon function bootstrap in planar maximally supersymmetric Yang-Mills theory. Armed with this simplification, along with the constraints of dual conformal symmetry and Regge exponentiation, we obtain the complete five-loop six-particle amplitude.},
doi = {10.1103/PhysRevLett.117.241601},
journal = {Physical Review Letters},
number = 24,
volume = 117,
place = {United States},
year = {2016},
month = {12}
}