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. https://resolver.caltech.edu/CaltechAUTHORS:20141216-210539178

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Abstract

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

Related URLs:

URL	URL Type	Description
http://arxiv.org/abs/1410.0354	arXiv	Discussion Paper
http://dx.doi.org/10.1103/PhysRevLett.113.261603	DOI	Article
http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.113.261603	Publisher	Article

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

Funders:

Funding Agency	Grant Number
Department of Energy (DOE)	DE-FG02-91ER40654
Danish Council for Independent Research	UNSPECIFIED
Industry Canada	UNSPECIFIED
Province of Ontario	UNSPECIFIED
David and Ellen Lee Postdoctoral Scholarship	UNSPECIFIED
Department of Energy (DOE)	DE-SC0011632

Other Numbering System:

Other Numbering System Name	Other Numbering System ID
CALT-TH	2014-154

Issue or Number:

Classification Code:

PACS: 11.55.Bq, 11.15.Bt, 11.25.Db, 11.80.Cr

DOI:

10.1103/PhysRevLett.113.261603

Record Number:

CaltechAUTHORS:20141216-210539178

Persistent URL:

https://resolver.caltech.edu/CaltechAUTHORS:20141216-210539178

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

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ID Code:

52925

Collection:

CaltechAUTHORS

Deposited By:

Joy Painter

Deposited On:

17 Dec 2014 17:15

Last Modified:

10 Nov 2021 19:45

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