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Related papers: Positivity and partial wave unitarity bounds on AL…

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We develop a formalism, based on spinor-helicity techniques, to generalize the formulation of partial wave unitarity bounds. We discuss unitarity bounds for $N \to M$ (with $N,M \geq 2$) scattering processes -- relevant for high-energy…

High Energy Physics - Phenomenology · Physics 2026-05-26 Luigi C. Bresciani , Gabriele Levati , Paride Paradisi

We derive partial-wave unitarity constraints on gauge-invariant interactions of an Axion-Like Particle (ALP) up to dimension-6 from all allowed $2\to2$ scattering processes in the limit of large center-of-mass energy. We find that the…

High Energy Physics - Phenomenology · Physics 2021-09-27 I. Brivio , O. J. P. Éboli , M. C. Gonzalez-Garcia

We derive positivity bounds for scattering amplitudes of particles with arbitrary spin using unitarity, analyticity and crossing symmetry. The bounds imply the positivity of certain low-energy coefficients of the effective action that…

High Energy Physics - Theory · Physics 2017-03-08 Brando Bellazzini

We present a comprehensive reassessment of perturbative unitarity bounds in the dimension-six Standard Model Effective Field Theory, exploiting a new formalism based on spinor-helicity techniques to derive partial-wave unitarity bounds for…

High Energy Physics - Phenomenology · Physics 2026-03-05 Luigi C. Bresciani , Paride Paradisi , Andrea Sainaghi

We derive new effective field theory (EFT) positivity bounds on the elastic $2\to2$ scattering amplitudes of massive spinning particles from the standard UV properties of unitarity, causality, locality and Lorentz invariance. By bounding…

High Energy Physics - Theory · Physics 2022-03-09 Joe Davighi , Scott Melville , Tevong You

In the presence of an axion or axion-like particle (ALP) that couples to the Standard Model via dimension-five interactions, dimension-six SMEFT interactions are generated via renormalization-group evolution. As many of these SMEFT…

High Energy Physics - Phenomenology · Physics 2023-10-02 Anke Biekötter , Javier Fuentes-Martín , Anne Mareike Galda , Matthias Neubert

Sum rules in effective field theories, predicated upon causality, place restrictions on scattering amplitudes mediated by effective contact interactions. Through unitarity of the $S$-matrix, these imply that the size of higher dimensional…

High Energy Physics - Phenomenology · Physics 2021-10-05 Timothy Trott

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…

High Energy Physics - Phenomenology · Physics 2024-05-29 Enrico Bertuzzo , Christophe Grojean , Gabriel M. Salla

In this paper, we explore positivity bounds for the effective field theory~(EFT) of a single weakly coupled massive vector field. The presence of both mass and spin makes the crossing properties of the amplitudes vastly complicated -- we…

High Energy Physics - Theory · Physics 2025-07-16 Francesco Bertucci , Johan Henriksson , Brian McPeak , Sara Ricossa , Francesco Riva , Alessandro Vichi

Parameters in an effective field theory can be subject to certain positivity bounds if one requires a UV completion that obeys the fundamental principles of quantum field theory. These bounds are relatively straightforward at the tree…

High Energy Physics - Phenomenology · Physics 2025-07-22 Yunxiao Ye , Bin He , Jiayin Gu

In this article, we present projected 95\% C.L. limits on Axion-Like Particle (ALP) couplings from ALP production at a future $e^+e^-$ collider operating at $\sqrt{s} = 250~\text{GeV}$ with integrated luminosity $L = 0.5~\text{ab}^{-1}$. We…

High Energy Physics - Phenomenology · Physics 2026-05-28 Pramod Sharma , Soham Singh , Mukesh Kumar , Ashok Goyal

In this paper we present the partial wave unitarity bound in the parameter space of dimension-5 and dimension-6 effective operators that arise in a compositeness scenario. These are routinely used in experimental searches at the LHC to…

High Energy Physics - Phenomenology · Physics 2019-10-25 S. Biondini , R. Leonardi , O. Panella , M. Presilla

Motivated by scalar-tensor gravities, we consider a theory which contains massless scalar fields with different sound speeds. We derive unitarity relations for partial wave amplitudes of $2 \to 2$ scattering, with explicit formulas for…

High Energy Physics - Theory · Physics 2022-06-09 Y. Ageeva , P. Petrov

We present a systematic method for deriving partial-wave unitarity bounds on Wilson coefficients of higher-dimensional operators in effective field theories involving more than four fields, which naturally appear in tree-level 2-to-$N$…

High Energy Physics - Phenomenology · Physics 2026-02-06 Céline Degrande , Hao-Lin Li , Ling-Xiao Xu

Limits on spin-0 axion-like-particles (ALPs) coupling to photons are reinterpreted as constraints on massive spin-2 graviton-like-particles (GLPs) with universal coupling $\alpha_\text{G}/M_\text{P}$ (where $M_\text{P}$ is the reduced…

High Energy Physics - Phenomenology · Physics 2026-05-05 Jordan Gué , David d'Enterria

The low-energy effective field theory (LEFT) provides the appropriate framework to describe particle interactions below the scale of electroweak symmetry breaking, $\mu_w\sim v$. By matching the Standard Model onto the LEFT, non-zero Wilson…

High Energy Physics - Phenomenology · Physics 2023-08-04 Anne Mareike Galda , Matthias Neubert

We study two-to-two scattering amplitudes of a scalar particle of mass $m$. For simplicity, we assume the presence of $\mathbb{Z}_2$ symmetry and that the particle is $\mathbb{Z}_2$ odd. We consider two classes of amplitudes: the fully…

High Energy Physics - Theory · Physics 2023-01-04 Hongbin Chen , A. Liam Fitzpatrick , Denis Karateev

We study the production of axion-like particles (ALPs) in association with electrons and neutrinos in the muon decay process. For this purpose, we compute the decay width of the muon to a four-body channel using a $d=7$ effective operator…

High Energy Physics - Phenomenology · Physics 2024-07-12 Ankita Budhraja , Samadrita Mukherjee , Sahana Narasimha

We explore the effective field theory for single and multiple interacting pseudo-linear spin-2 fields. By applying forward limit positivity bounds, we show that among the parameters contributing to elastic tree level scattering amplitude,…

High Energy Physics - Theory · Physics 2020-08-26 Lasma Alberte , Claudia de Rham , Arshia Momeni , Justinas Rumbutis , Andrew J. Tolley

We give an overview of collider searches for Axion-like particles (ALPs). The intention of this review is to give a pedagogical introduction to collider phenomenology of ALPs, and provide a starting point for newcomers, including suitable…

High Energy Physics - Phenomenology · Physics 2025-08-28 Anke Biekötter , Ken Mimasu
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