ALPs, the on-shell way

Fuente: arXiv
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Autores principales: Bertuzzo, Enrico, Grojean, Christophe, Salla, Gabriel M.
Formato: Preprint
Publicado: 2023
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author Bertuzzo, Enrico
Grojean, Christophe
Salla, Gabriel M.
author_facet Bertuzzo, Enrico
Grojean, Christophe
Salla, Gabriel M.
contents We study how the coupling between axion-like particles (ALPs) and matter can be obtained at the level of on-shell scattering amplitudes. We identify three conditions that allow us to compute amplitudes that correspond to shift-symmetric Lagrangians, at the level of operators with dimension 5 or higher, and we discuss how they relate and extend the Adler's zero condition. These conditions are necessary to reduce the number of coefficients consistent with the little-group scaling to the one expected from the Lagrangian approach. We also show how our formalism easily explains that the dimension-5 interaction involving one ALP and two massless spin-1 bosons receive corrections from higher order operators only when the ALP has a non-vanishing mass. As a direct application of our results, we perform a phenomenological study of the inelastic scattering $\ell^+\ell^- \to ϕh$ (with $\ell^\pm$ two charged leptons, $ϕ$ the ALP and $h$ the Higgs boson) for which, as a result of the structure of the 3-point and 4-point amplitudes, dimension-7 operators can dominate over the dimension-5 ones well before the energy reaches the cutoff of the theory.
format Preprint
id arxiv_https___arxiv_org_abs_2311_16253
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle ALPs, the on-shell way
Bertuzzo, Enrico
Grojean, Christophe
Salla, Gabriel M.
High Energy Physics - Phenomenology
High Energy Physics - Theory
We study how the coupling between axion-like particles (ALPs) and matter can be obtained at the level of on-shell scattering amplitudes. We identify three conditions that allow us to compute amplitudes that correspond to shift-symmetric Lagrangians, at the level of operators with dimension 5 or higher, and we discuss how they relate and extend the Adler's zero condition. These conditions are necessary to reduce the number of coefficients consistent with the little-group scaling to the one expected from the Lagrangian approach. We also show how our formalism easily explains that the dimension-5 interaction involving one ALP and two massless spin-1 bosons receive corrections from higher order operators only when the ALP has a non-vanishing mass. As a direct application of our results, we perform a phenomenological study of the inelastic scattering $\ell^+\ell^- \to ϕh$ (with $\ell^\pm$ two charged leptons, $ϕ$ the ALP and $h$ the Higgs boson) for which, as a result of the structure of the 3-point and 4-point amplitudes, dimension-7 operators can dominate over the dimension-5 ones well before the energy reaches the cutoff of the theory.
title ALPs, the on-shell way
topic High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2311.16253