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A spontaneously broken SU(2) theory is the simplest generalization of the Abelian Higgs model, containing three equally massive vector bosons and a single Higgs scalar. A strictly diagrammatic proof is presented of the tree-level unitarity…

High Energy Physics - Phenomenology · Physics 2020-10-29 Jochem Kip , Ronald Kleiss

We show that, contrary to popular belief, non only diffraction-free beams may reconstruct themselves after hitting an opaque obstacle but also, for example, Gaussian beams. We unravel the mathematics and the physics underlying the…

These lectures are a pedagogical introduction to the application of perturbative unitarity to Higgs physics within and beyond the Standard Model (SM). I begin with a review of how perturbative unitarity arises from quantum mechanical…

High Energy Physics - Phenomenology · Physics 2025-04-02 Heather E. Logan

We study the ultraviolet behaviour of Higgs inflation models above the apparent unitarity violation scale arising from the large non minimal coupling to gravity, by computing on-shell 4-point scattering amplitudes in the presence of a large…

High Energy Physics - Theory · Physics 2021-09-01 Ignatios Antoniadis , Anthony Guillen , Kyriakos Tamvakis

State-of-the-art calculations motivated by dark matter exhibit severe violation of partial-wave unitarity in the non-relativistic regime in radiative bound-state-formation processes. It has been recently shown, in a model-independent…

High Energy Physics - Phenomenology · Physics 2026-02-25 Marcos M. Flores , Kalliopi Petraki

The singularity in Hawking and Turok's model (hep-th/9802030) of open inflation has some appealing properties. We suggest that this singularity should be regularized with matter. The singular instanton can then be obtained as the limit of a…

High Energy Physics - Theory · Physics 2009-10-31 Jaume Garriga

Could new physics first manifest itself in Higgs self-coupling measurements? In other words, how large could deviations in the Higgs self-coupling be, if other Higgs and electroweak measurements are compatible with Standard Model…

High Energy Physics - Phenomenology · Physics 2023-01-02 Gauthier Durieux , Matthew McCullough , Ennio Salvioni

Motivated by the discovery of a new scalar field and amelioration of the electroweak vacuum stability ascribed to a singlet scalar field embedded in the standard model (SM), we examine the implication of the perturbative unitarity in the SM…

High Energy Physics - Phenomenology · Physics 2013-07-01 Sin Kyu Kang , Jubin Park

We study perturbative unitarity and electroweak oblique corrections in the electroweak symmetry breaking models including an arbitrary number of neutral Higgs bosons. Requiring the perturbative unitarity of the high energy scattering…

High Energy Physics - Phenomenology · Physics 2015-04-30 Ryo Nagai

Contrarily to a common belief, any beam of light possesses to a some extent the ability to "reconstruct itself" after hitting an obstacle. The celebrated Arago spot phenomenon is nothing but a manifestation of this property. In this work we…

Optics · Physics 2015-01-26 Andrea Aiello , Girish S. Agarwal

Recently, the problem of unitarity violation during the preheating stage of Higgs inflation with a large non-minimal coupling has been much discussed in the literature. We point out that this problem can be translated into a strong coupling…

High Energy Physics - Phenomenology · Physics 2021-03-31 Yuta Hamada , Kiyoharu Kawana , Adam Scherlis

We consider the subtleties involved in the application of the Equivalence Theorem to the decay of an unstable Higgs particle. This is formally justified from consideration of unitarity and resonant elastic scattering of the stable decay…

High Energy Physics - Phenomenology · Physics 2014-11-17 R. S. Willey

We investigate the ultraviolet (UV) behavior of two-scalar elastic scattering with graviton exchanges in higher curvature gravity theory. In the Einstein gravity, matter scattering is shown not to satisfy tree unitarity at high energy.…

High Energy Physics - Theory · Physics 2019-12-06 Yugo Abe , Takeo Inami , Keisuke Izumi , Tomotaka Kitamura

In the Higgs inflation scenario the Higgs field is strongly coupled to the Ricci scalar in order to drive primordial inflation. However, in its original form in pure metric formulation of gravity, the ultraviolet (UV) cutoff of the Higgs…

High Energy Physics - Phenomenology · Physics 2011-04-19 Florian Bauer , Durmus A. Demir

We study the Higgs-Higgs scattering process and the possible emergence of a Higgs-Higgs bound state (Higgsonium) in any Higgs potential with the vacuum expectation value and second derivative matching the corresponding values from the…

High Energy Physics - Phenomenology · Physics 2023-08-14 Vanamali Shastry , Francesco Giacosa

We analyse the self-consistency of inflation in the Standard Model, where the Higgs field has a large non-minimal coupling to gravity. We determine the domain of energies in which this model represents a valid effective field theory as a…

High Energy Physics - Phenomenology · Physics 2011-03-07 F. Bezrukov , A. Magnin , M. Shaposhnikov , S. Sibiryakov

In Quantum Field Theory models with spontaneously broken gauge invariance, renormalizability limits to four the degree of the Higgs potential, whose minima determine the vacuum state at tree-level. In many models, this bound has the…

High Energy Physics - Theory · Physics 2007-05-23 G. Sartori , G. Valente

Unitarity imposes coupled constraints on elastic and inelastic amplitudes. Satisfying them requires resummation of the self-energy contributions from both elastic and inelastic channels. Inelastic channels generate anti-Hermitian…

High Energy Physics - Phenomenology · Physics 2026-04-08 Marcos M. Flores , Kalliopi Petraki

The Hermitian systems possess unitary scattering; however, the Hermiticity is unnecessary for a unitary scattering although the scattering under the influence of non-Hermiticity is mostly non-unitary. Here we prove that the unitary…

Mesoscale and Nanoscale Physics · Physics 2022-01-31 L. Jin

We have reconsidered theoretical upper bounds on the scalar boson masses within the two-Higgs-doublet model (THDM), employing the well-known technical condition of tree-level unitarity. Our treatment provides a modest extension and…

High Energy Physics - Phenomenology · Physics 2009-01-07 J. Horejsi , M. Kladiva