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Unifying Relations for Scattering Amplitudes

Cheung, Clifford and Shen, Chia-Hsien and Wen, Congkao (2018) Unifying Relations for Scattering Amplitudes. Journal of High Energy Physics, 2018 (2). Art. No. 95. ISSN 1126-6708. doi:10.1007/JHEP02(2018)095.

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We derive new amplitudes relations revealing a hidden unity among a wideranging variety of theories in arbitrary spacetime dimensions. Our results rely on a set of Lorentz invariant differential operators which transmute physical tree-level scattering amplitudes into new ones. By transmuting the amplitudes of gravity coupled to a dilaton and two-form, we generate all the amplitudes of Einstein-Yang-Mills theory, Dirac-Born-Infield theory, special Galileon, nonlinear sigma model, and biadjoint scalar theory. Transmutation also relates amplitudes in string theory and its variants. As a corollary, celebrated aspects of gluon and graviton scattering like color-kinematics duality, the KLT relations, and the CHY construction are inherited traits of the transmuted amplitudes. Transmutation recasts the Adler zero as a trivial consequence of the Weinberg soft theorem and implies new subleading soft theorems for certain scalar theories.

Item Type:Article
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URLURL TypeDescription Paper
Shen, Chia-Hsien0000-0002-5138-9971
Wen, Congkao0000-0002-5174-1576
Additional Information:© 2018 The Author(s). 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 5, 2017; Revised: November 14, 2017; Accepted: February 8, 2018; Published: February 15, 2018. We would like to thank Henrik Johansson and Ellis Yuan for discussions which inspired this work, as well as Bo Feng, Song He, Yu-tin Huang, Jan Plefka, Oliver Schlotterer, Stephen Stieberger, and Wadim Wormsbecher for helpful discussions. CHS and CW are grateful to the KITP, Santa Barbara, for hospitality during the final stages of this work. CC is supported by a Sloan Research Fellowship and CC, CHS, and CW are supported in part by a DOE Early Career Award under Grant No. DE-SC0010255 and by the NSF under Grant No. NSF PHY-1125915.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Alfred P. Sloan FoundationUNSPECIFIED
Department of Energy (DOE)DE-SC0010255
Subject Keywords:Effective Field Theories, Scattering Amplitudes
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Issue or Number:2
Record Number:CaltechAUTHORS:20170518-093708530
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Official Citation:Cheung, C., Shen, CH. & Wen, C. J. High Energ. Phys. (2018) 2018: 95.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:77559
Deposited By: Joy Painter
Deposited On:18 May 2017 17:37
Last Modified:15 Nov 2021 17:32

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