Multi-spin soft bootstrap and scalar-vector Galileon

Kampf, Karol; Novotný, Jiří; Přeučil, Filip; Trnka, Jaroslav

doi:10.1007/jhep07(2021)153

Title: Multi-spin soft bootstrap and scalar-vector Galileon

Journal Article · 20 July 2021 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep07(2021)153 · OSTI ID:1851261

Kampf, Karol ^[1]; Novotný, Jiří ^[2]; Přeučil, Filip ^[2]; Trnka, Jaroslav ^[3]

Charles Univ., Prague (Czech Republic). Inst. of Particle and Nuclear Physics; Univ. of California, Davis, CA (United States)
Charles Univ., Prague (Czech Republic). Inst. of Particle and Nuclear Physics
Univ. of California, Davis, CA (United States). Center for Quantum Mathematics and Physics (QMAP); Charles Univ., Prague (Czech Republic). Inst. of Particle and Nuclear Physics

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.

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Research Organization:: Univ. of California, Davis, CA (United States)

Sponsoring Organization:: Charles University; USDOE Office of Science (SC)

Grant/Contract Number:: SC0009999

OSTI ID:: 1851261

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 7 Vol. 2021; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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Title: Multi-spin soft bootstrap and scalar-vector Galileon

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