Unifying relations for scattering amplitudes
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 treelevel scattering amplitudes into new ones. By transmuting the amplitudes of gravity coupled to a dilaton and twoform, we generate all the amplitudes of EinsteinYangMills theory, DiracBornInfield 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 colorkinematics 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]}
 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
 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:
 Grant/Contract Number:
 SC0010255
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 2; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 California Inst. of Technology (CalTech), Pasadena, CA (United States)
 Sponsoring Org:
 USDOE Office of Science (SC)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Effective Field Theories; Scattering Amplitudes
 OSTI Identifier:
 1501900
Cheung, Clifford, Shen, ChiaHsien, and Wen, Congkao. Unifying relations for scattering amplitudes. United States: N. p.,
Web. doi:10.1007/jhep02(2018)095.
Cheung, Clifford, Shen, ChiaHsien, & Wen, Congkao. Unifying relations for scattering amplitudes. United States. doi:10.1007/jhep02(2018)095.
Cheung, Clifford, Shen, ChiaHsien, and Wen, Congkao. 2018.
"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, ChiaHsien 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 treelevel scattering amplitudes into new ones. By transmuting the amplitudes of gravity coupled to a dilaton and twoform, we generate all the amplitudes of EinsteinYangMills theory, DiracBornInfield 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 colorkinematics 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)},
number = 2,
volume = 2018,
place = {United States},
year = {2018},
month = {2}
}