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Title: Unifying relations for scattering amplitudes

Abstract

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. With this being said, transmutation recasts the Adler zero as a trivial consequence of the Weinberg soft theorem and implies new subleading soft theorems for certain scalar theories.

Authors:
 [1];  [2];  [3]
  1. California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics
  2. Univ. of California, Los Angeles, CA (United States). Mani L. Bhaumik Inst. for Thoretical Physics
  3. California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics; Univ. of California, Los Angeles, CA (United States). Mani L. Bhaumik Inst. for Thoretical Physics
Publication Date:
Research Org.:
California Inst. of Technology (CalTech), Pasadena, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1501900
Grant/Contract Number:  
SC0010255
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Volume: 2018; Journal Issue: 2; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Effective Field Theories; Scattering Amplitudes

Citation Formats

Cheung, Clifford, Shen, Chia-Hsien, and Wen, Congkao. Unifying relations for scattering amplitudes. United States: N. p., 2018. Web. doi:10.1007/jhep02(2018)095.
Cheung, Clifford, Shen, Chia-Hsien, & Wen, Congkao. Unifying relations for scattering amplitudes. United States. doi:10.1007/jhep02(2018)095.
Cheung, Clifford, Shen, Chia-Hsien, and Wen, Congkao. Thu . "Unifying relations for scattering amplitudes". United States. doi:10.1007/jhep02(2018)095. https://www.osti.gov/servlets/purl/1501900.
@article{osti_1501900,
title = {Unifying relations for scattering amplitudes},
author = {Cheung, Clifford and Shen, Chia-Hsien and Wen, Congkao},
abstractNote = {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. With this being said, transmutation recasts the Adler zero as a trivial consequence of the Weinberg soft theorem and implies new subleading soft theorems for certain scalar theories.},
doi = {10.1007/jhep02(2018)095},
journal = {Journal of High Energy Physics (Online)},
issn = {1029-8479},
number = 2,
volume = 2018,
place = {United States},
year = {2018},
month = {2}
}

Journal Article:
Free Publicly Available Full Text
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