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We establish the bounds on Wilson coefficients of the Higgs effective field theory (HEFT) mandated by unitarity and analyticity. These positivity constraints can be projected into the space of the standard model effective field theory…

High Energy Physics - Phenomenology · Physics 2026-03-02 Grant N. Remmen , Nicholas L. Rodd

We derive the complete set of continuous maximal symmetries for Standard Model (SM) alignment that may occur in the tree-level scalar potential of multi-Higgs Doublet Models, with $n > 2$ Higgs doublets. Our results generalize the…

High Energy Physics - Phenomenology · Physics 2016-04-13 Apostolos Pilaftsis

We consider extended scalar sectors of the Standard Model as ultraviolet-complete motivations for studying the effective Higgs self-interaction operators of the Standard Model effective field theory. We investigate all motivated heavy…

High Energy Physics - Phenomenology · Physics 2019-07-05 Tyler Corbett , Aniket Joglekar , Hao-Lin Li , Jiang-Hao Yu

The anomaly of non-invertible higher-form symmetries is determined by the braiding of topological operators implementing them. In this paper, we study a method to classify braidings on topological line and surface operators by leveraging…

High Energy Physics - Theory · Physics 2025-03-19 Pavel Putrov , Rajath Radhakrishnan

We generalize the conformally invariant topological quantum mechanics of a particle propagating on a punctured plane by introducing a potential that breaks both the rotational and the conformal invariance down to a ${\bf Z}_2$…

High Energy Physics - Theory · Physics 2018-11-27 Laurent Baulieu , Francesco Toppan

We describe on-shell methods for computing one- and two-loop anomalous dimensions in the context of effective field theories containing higher-dimension operators. We also summarize methods for computing one-loop amplitudes, which are used…

High Energy Physics - Phenomenology · Physics 2020-12-02 Zvi Bern , Julio Parra-Martinez , Eric Sawyer

We discuss the three different classes of CP-symmetries that can be realized in a two-Higgs-doublet model, CP1, CP2 and CP3. We express conditions for realizing these symmetries in terms of masses and couplings of the model, thereby…

High Energy Physics - Phenomenology · Physics 2020-12-30 Bohdan Grzadkowski , Odd Magne Ogreid , Per Osland

When several inequivalent supercharges form a closed superalgebra in Quantum Mechanics it entails the appearance of hidden symmetries of a Super-Hamiltonian. We examine this problem in one-dimensional QM for the case of periodic potentials…

High Energy Physics - Theory · Physics 2009-09-10 Alexander A. Andrianov , Andrey V. Sokolov

In a companion paper, we show that operator bases for general effective field theories are controlled by the conformal algebra. Equations of motion and integration by parts identities can be systematically treated by organizing operators…

High Energy Physics - Phenomenology · Physics 2019-08-26 Brian Henning , Xiaochuan Lu , Tom Melia , Hitoshi Murayama

Supersymmetry transformations of first and second order are used to generate Hamiltonians with known spectra departing from the harmonic oscillator with an infinite potential barrier. It is studied also the way in which the eigenfunctions…

Mathematical Physics · Physics 2016-12-12 David J. Fernández C , VS Morales-Salgado

Low-energy effective field theories (EFT) encode information about the physics at high energies--i.e., the high-energy theory (HET). To extract this information the EFT and the HET have to be matched to each other. At the one-loop level,…

High Energy Physics - Phenomenology · Physics 2022-03-22 Henning Bahl , Ivan Sobolev

We analyze the compatibility between abelian symmetries acting in two different sectors of a theory using the Smith Normal Form method. We focus on N-Higgs-doublet models (NHDMs) and on the compatibility between symmetries in the Higgs…

High Energy Physics - Phenomenology · Physics 2015-03-13 C. C. Nishi

We classify the physical operators of the most general bosonic effective gauge theory up to dimension six using on-shell methods. Based on this classification, we compute the complete one-loop anomalous dimension employing both on-shell…

High Energy Physics - Phenomenology · Physics 2026-05-29 Jason Aebischer , Luigi C. Bresciani , Nudzeim Selimovic

We derive bounds on couplings in the standard model effective field theory (SMEFT) as a consequence of causality and the analytic structure of scattering amplitudes. In the SMEFT, there are 64 independent operators at mass dimension eight…

High Energy Physics - Phenomenology · Physics 2020-09-16 Grant N. Remmen , Nicholas L. Rodd

There are 13 equivalence classes of 2D second order quantum and classical superintegrable systems with nontrivial potential, each associated with a quadratic algebra of hidden symmetries. We study the finite and infinite irreducible…

Mathematical Physics · Physics 2008-04-25 Ernest G. Kalnins , Willard Miller , Sarah Post

Using the production of a Higgs boson in association with a $W$ boson as a test case, we assess the impact of dimension-8 operators within the context of the Standard Model Effective Field Theory. Dimension-8--SM-interference and…

High Energy Physics - Phenomenology · Physics 2019-03-27 Chris Hays , Adam Martin , Veronica Sanz , Jack Setford

In this article we extend the effective field theory framework describing new physics effects to the case where the underlying low-energy theory is a Two-Higgs-Doublet model. We derive a complete set of independent operators up to dimension…

High Energy Physics - Phenomenology · Physics 2020-03-31 Andreas Crivellin , Margherita Ghezzi , Massimiliano Procura

In a recent re-analysis of the Standard Model (SM) beta-function for the effective neutrino mass operator, we found that the previous results were not entirely correct. Therefore, we consider the analogous dimension five operators in a…

High Energy Physics - Phenomenology · Physics 2009-11-07 Stefan Antusch , Manuel Drees , Joern Kersten , Manfred Lindner , Michael Ratz

In this paper, we continue to construct the low-energy effective field theories (EFTs) of the canonical seesaw models, which are natural extensions of the Standard Model (SM) to accommodate tiny but nonzero neutrino masses. Different from…

High Energy Physics - Phenomenology · Physics 2022-04-11 Xu Li , Di Zhang , Shun Zhou

We continue to explore the consequences of the recently discovered Minkowski space structure of the Higgs potential in the two-Higgs-doublet model. Here, we focus on the vacuum properties. The search for extrema of the Higgs potential is…

High Energy Physics - Phenomenology · Physics 2008-11-26 I. P. Ivanov