Bootstrapping a five-loop amplitude using Steinmann relations

Caron-Huot, Simon; Dixon, Lance J.; McLeod, Andrew; von Hippel, Matt

doi:10.1103/PhysRevLett.117.241601

Title: Bootstrapping a five-loop amplitude using Steinmann relations

Journal Article · Mon Dec 05 00:00:00 EST 2016 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.117.241601· OSTI ID:1327480

Caron-Huot, Simon ^[1]; Dixon, Lance J. ^[2]; McLeod, Andrew ^[3]; von Hippel, Matt ^[4]

Univ. of Copenhagen, Copenhagen (Denmark); McGill Univ., Montreal, QC (Canada)
SLAC National Accelerator Lab., Menlo Park, CA (United States); Univ. of California, Santa Barbara, CA (United States)
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Perimeter Institute for Theoretical Physics, Waterloo, ON (Canada)

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.

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Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: AC02-76SF00515; AC02–76SF00515

OSTI ID:: 1327480

Alternate ID(s):: OSTI ID: 1334356

Report Number(s):: SLAC-PUB-16811; PRLTAO; arXiv:1609.00669

Journal Information:: Physical Review Letters, Vol. 117, Issue 24; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 144 works

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Title: Bootstrapping a five-loop amplitude using Steinmann relations

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