Singularity Structure of Maximally Supersymmetric Scattering Amplitudes

Arkani-Hamed, Nima; Bourjaily, Jacob L.; Cachazo, Freddy; Trnka, Jaroslav

doi:10.1103/PhysRevLett.113.261603

Title: Singularity Structure of Maximally Supersymmetric Scattering Amplitudes

Journal Article · Mon Dec 29 00:00:00 EST 2014 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.113.261603· OSTI ID:1600721

Arkani-Hamed, Nima ^[1]; Bourjaily, Jacob L. ^[2]; Cachazo, Freddy ^[3]; Trnka, Jaroslav ^[4]

Institute for Advanced Study, Princeton, NJ (United States). School of Natural Sciences
Univ. of Copenhagen (Denmark). The Niels Bohr Inst.
Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada)
California Institute of Technology (CalTech), Pasadena, CA (United States)

We introduce here evidence that loop amplitudes in maximally supersymmetric ( $N = 4$ ) Yang-Mills theory (SYM) beyond the planar limit share some of the remarkable structures of the planar theory. In particular, we show that through two loops, the four-particle amplitude in full $N = 4$ SYM has only logarithmic singularities and is free of any poles at infinity—properties closely related to uniform transcendentality and the UV finiteness of the theory. Furthermore, we briefly comment on implications for maximal ( $N = 8$ ) supergravity theory (SUGRA).

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Research Organization:: California Institute of Technology (CalTech), Pasadena, CA (United States); Harvard Univ., Cambridge, MA (United States)

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

Grant/Contract Number:: SC0011632; FG02-91ER40654

OSTI ID:: 1600721

Alternate ID(s):: OSTI ID: 1181235

Journal Information:: Physical Review Letters, Vol. 113, Issue 26; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 70 works

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References (23)

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Lectures on differential equations for Feynman integrals Henn, Johannes M. Journal of Physics A: Mathematical and Theoretical, Vol. 48, Issue 15 https://doi.org/10.1088/1751-8113/48/15/153001	journal	March 2015
Positivity, Grassmannian geometry and simplex-like structures of scattering amplitudes Rao, Junjie Journal of High Energy Physics, Vol. 2017, Issue 12 https://doi.org/10.1007/jhep12(2017)147	journal	December 2017
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Matter Dependence of the Four-Loop Cusp Anomalous Dimension Henn, J. M.; Peraro, T.; Stahlhofen, M. American Physical Society https://doi.org/10.5167/uzh-175226	text	January 2019
Lectures on differential equations for Feynman integrals Henn, Johannes M. arXiv https://doi.org/10.48550/arxiv.1412.2296	text	January 2014
Logarithmic Singularities and Maximally Supersymmetric Amplitudes Bern, Zvi; Herrmann, Enrico; Litsey, Sean arXiv https://doi.org/10.48550/arxiv.1412.8584	preprint	January 2014
Non-Planar On-Shell Diagrams Franco, Sebastian; Galloni, Daniele; Penante, Brenda arXiv https://doi.org/10.48550/arxiv.1502.02034	preprint	January 2015
Evidence for a Nonplanar Amplituhedron Bern, Zvi; Herrmann, Enrico; Litsey, Sean arXiv https://doi.org/10.48550/arxiv.1512.08591	text	January 2015
Gravity On-shell Diagrams Herrmann, Enrico; Trnka, Jaroslav arXiv https://doi.org/10.48550/arxiv.1604.03479	text	January 2016
Prescriptive Unitarity Bourjaily, Jacob L.; Herrmann, Enrico; Trnka, Jaroslav arXiv https://doi.org/10.48550/arxiv.1704.05460	text	January 2017
The Sudakov form factor at four loops in maximal super Yang-Mills theory Boels, Rutger H.; Huber, Tobias; Yang, Gang arXiv https://doi.org/10.48550/arxiv.1711.08449	text	January 2017
All-Helicity Symbol Alphabets from Unwound Amplituhedra Prlina, Igor; Spradlin, Marcus; Stankowicz, James arXiv https://doi.org/10.48550/arxiv.1711.11507	text	January 2017
Boundaries of Amplituhedra and NMHV Symbol Alphabets at Two Loops Prlina, Igor; Spradlin, Marcus; Stankowicz, James arXiv https://doi.org/10.48550/arxiv.1712.08049	text	January 2017
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Prescriptive Unitarity for Non-Planar Six-Particle Amplitudes at Two Loops Bourjaily, Jacob L.; Herrmann, Enrico; Langer, Cameron arXiv https://doi.org/10.48550/arxiv.1909.09131	text	January 2019

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