Local Integrand Representations of All Two-Loop Amplitudes in Planar SYM

Bourjaily, Jacob L. and Trnka, Jaroslav (2015) Local Integrand Representations of All Two-Loop Amplitudes in Planar SYM. Journal of High Energy Physics, 2015 (8). Art. No. 119. ISSN 1126-6708. doi:10.1007/JHEP08(2015)119. https://resolver.caltech.edu/CaltechAUTHORS:20150814-090422946

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Abstract

We use generalized unitarity at the integrand-level to directly construct local, manifestly dual-conformally invariant formulae for all two-loop scattering amplitudes in planar, maximally supersymmetric Yang-Mills theory (SYM). This representation separates contributions into manifestly finite and manifestly divergent terms---in a way that renders all infrared-safe observables (including ratio functions) calculable without any need for regulation. These results perfectly match the all-loop BCFW recursion relations, to which we provide a closed-form solution valid through two-loop-order. Finally, we describe and document a Mathematica package which implements these results, available as part of this work's source files on the arXiv.

Item Type:

Article

Related URLs:

URL	URL Type	Description
http://arxiv.org/abs/1505.05886	arXiv	Discussion Paper
http://link.springer.com/article/10.1007%2FJHEP08%282015%29119	Publisher	Article
http://dx.doi.org/10.1007/JHEP08(2015)119	DOI	Article

Additional Information:

© 2015 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: June 13, 2015; Accepted: July 20, 2015; Published: August 25, 2015. We are very grateful to Simon Caron-Huot for important insights, discussions, and contributions, and to Nima Arkani-Hamed, Zvi Bern, Freddy Cachazo, and Marcus Spradlin for especially fruitful conversations. This work was supported through the hospitality of the Aspen Center for Physics (supported by NSF grant #1066293), the Hong Kong University of Science and Technology’s Institute for Advanced Study, and the California Institute of Technology. This work has been supported in part by the Harvard Society of Fellows, a grant from the Harvard Milton Fund, and a MOBILEX research grant from the Danish Council for Independent Research (JLB); and also by the David and Ellen Lee Postdoctoral Scholarship and by the Department of Energy under grant DE-SC0011632 (JT).

Group:

Walter Burke Institute for Theoretical Physics

Funders:

Funding Agency	Grant Number
NSF	1066293
Hong Kong University of Science and Technology	UNSPECIFIED
Caltech	UNSPECIFIED
Harvard Society of Fellows	UNSPECIFIED
Harvard Milton Fund	UNSPECIFIED
Danish Council for Independent Research	MOBILEX
David and Ellen Lee Postdoctoral Scholarship	UNSPECIFIED
Department of Energy (DOE)	DE-SC0011632

Subject Keywords:

Supersymmetric gauge theory Scattering Amplitudes, 1/N Expansion

Other Numbering System:

Other Numbering System Name	Other Numbering System ID
CALT-TH	2015-026

Issue or Number:

DOI:

10.1007/JHEP08(2015)119

Record Number:

CaltechAUTHORS:20150814-090422946

Persistent URL:

https://resolver.caltech.edu/CaltechAUTHORS:20150814-090422946

Official Citation:

Journal of High Energy Physics v.2015, no.8; Art.no.119 2015 DOI:10.1007/JHEP08(2015)119 Local integrand representations of all two-loop amplitudes in planar SYM http://dx.doi.org/10.1007/JHEP08%282015%29119 Springer Berlin Heidelberg 2015-08-25

Usage Policy:

No commercial reproduction, distribution, display or performance rights in this work are provided.

ID Code:

59527

Collection:

CaltechAUTHORS

Deposited By:

Joy Painter

Deposited On:

14 Aug 2015 16:20

Last Modified:

10 Nov 2021 22:22

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