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Singularity Structure of Maximally Supersymmetric Scattering Amplitudes

Arkani-Hamed, Nima and Bourjaily, Jacob L. and Cachazo, Freddy and Trnka, Jaroslav (2014) Singularity Structure of Maximally Supersymmetric Scattering Amplitudes. Physical Review Letters, 113 (26). Art. No. 261603. ISSN 0031-9007. doi:10.1103/PhysRevLett.113.261603.

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We present 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. We also briefly comment on implications for maximal (N=8) supergravity theory (SUGRA).

Item Type:Article
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URLURL TypeDescription Paper
Alternate Title:On the Singularity Structure of Maximally Supersymmetric Scattering Amplitudes
Additional Information:© 2014 American Physical Society. Received 4 October 2014; published 29 December 2014. We thank Zvi Bern, Lance Dixon, Enrico Herrmann, Sean Litsey, and James Stankowicz for helpful discussions. N. A.-H. is supported by the Department of Energy under grant number DE-FG02-91ER40654; J. B. is supported by a MOBILEX grant from the Danish Council for Independent Research; F. C. is supported by the Perimeter Institute for Theoretical Physics which is supported by the Government of Canada through Industry Canada and by the Province of Ontario through the Ministry of Research & Innovation; and J. T. is supported in part by the David and Ellen Lee Postdoctoral Scholarship and by the Department of Energy under grant number DE-SC0011632.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG02-91ER40654
Danish Council for Independent ResearchUNSPECIFIED
Industry CanadaUNSPECIFIED
Province of OntarioUNSPECIFIED
David and Ellen Lee Postdoctoral ScholarshipUNSPECIFIED
Department of Energy (DOE)DE-SC0011632
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Other Numbering System NameOther Numbering System ID
Issue or Number:26
Classification Code:PACS: 11.55.Bq, 11.15.Bt, 11.25.Db, 11.80.Cr
Record Number:CaltechAUTHORS:20141216-210539178
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Official Citation:Singularity Structure of Maximally Supersymmetric Scattering Amplitudes Nima Arkani-Hamed, Jacob L. Bourjaily, Freddy Cachazo, and Jaroslav Trnka Phys. Rev. Lett. 113, 261603 (2014) – Published 29 December 2014
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:52925
Deposited By: Joy Painter
Deposited On:17 Dec 2014 17:15
Last Modified:10 Nov 2021 19:45

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