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Positivity and partial wave unitarity bounds on ALP theories via amplitude methods

2025/10/15 by Luigi C. Bresciani, Gabriele Levati, Bresciani, Luigi C. +3 · 2 citations
Physics and Astronomy · #Amplitude #Dark Matter and Cosmic Phenomena #Dimension (graph theory) #Formalism (music) #Limit (mathematics) #Partial wave analysis #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Scattering amplitude #Unitarity #hep-ph

paper · pdf · doi:10.1007/jhep07(2026)172

published in Journal of High Energy Physics 2026(7) (Springer Nature)

openalex publication_date 2026/07/17 · openalex created_date 2026/07/19 · openalex updated_date 2026/08/05

Abstract

A bstract We derive the complete set of partial wave unitarity bounds on the most general Axion-Like Particle (ALP) effective interactions up to dimension 8 in the limit of large center-of-mass energy. Exploiting a recently developed formalism based on spinor-helicity techniques, we discuss the unitarity bounds for N → M (with N , M ≥ 2) scattering amplitudes that can be relevant for ALP searches at colliders or in a variety of rare processes. Moreover, we compute positivity bounds on ALP interactions, emphasizing their complementarity with partial wave unitarity bounds. As a byproduct, we show that our results can be used to infer new positivity constraints in the Standard Model Effective Field Theory.

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