Unifying relations for scattering amplitudes

A bstract 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 transmuti...

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Bibliographic Details
Published in:The journal of high energy physics 2018-02, Vol.2018 (2), p.1-28, Article 95
Main Authors: Cheung, Clifford, Shen, Chia-Hsien, Wen, Congkao
Format: Article
Language:English
Subjects:
Amplitudes
Classical and Quantum Gravitation
Differential equations
Dilatons
Effective Field Theories
Elementary Particles
Gravitation
High energy physics
Kinematics
Physics
Physics and Astronomy
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Scattering
Scattering Amplitudes
String Theory
Theorems
Transmutation
Yang-Mills theory
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Summary:A bstract 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP02(2018)095