Multi-spin soft bootstrap and scalar-vector Galileon

A bstract We use the amplitude soft bootstrap method to explore the space of effective field theories (EFT) of massless vectors and scalars. It is known that demanding vanishing soft limits fixes uniquely a special class of EFTs: non-linear sigma model, scalar Galileon and Born-Infeld theories. Base...

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Bibliographic Details
Published in:The journal of high energy physics 2021-07, Vol.2021 (7), p.1-41, Article 153
Main Authors: Kampf, Karol, Novotný, Jiří, Přeučil, Filip, Trnka, Jaroslav
Format: Article
Language:English
Subjects:
Amplitudes
Classical and Quantum Gravitation
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Effective Field Theories
Elementary Particles
Field theory
High energy physics
Kinematics
Particle spin
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quantum theory
Regular Article - Theoretical Physics
Relativity Theory
Scalars
Scattering Amplitudes
Spontaneous Symmetry Breaking
Statistical methods
String Theory
Theorems
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Summary:A bstract We use the amplitude soft bootstrap method to explore the space of effective field theories (EFT) of massless vectors and scalars. It is known that demanding vanishing soft limits fixes uniquely a special class of EFTs: non-linear sigma model, scalar Galileon and Born-Infeld theories. Based on the amplitudes analysis, we conjecture no-go theorems for higher-derivative vector theories and theories with coupled vectors and scalars. We then allow for more general soft theorems where the non-trivial part of the soft limit of the ( n +1)-pt amplitude is equal to a linear combination of n -pt amplitudes. We derive the form of these soft theorems for general power-counting and spins of particles and use it as an input into the soft bootstrap method in the case of Galileon power-counting and coupled scalar-vector theories. We show that this unifies the description of existing Galileon theories and leads us to the discovery of a new exceptional theory: Special scalar-vector Galileon.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP07(2021)153