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A geometric formulation of Higgs Effective Field Theory (HEFT) is presented. Experimental observables are given in terms of geometric invariants of the scalar sigma model sector such as the curvature of the scalar field manifold $\mathcal…

High Energy Physics - Phenomenology · Physics 2016-02-04 Rodrigo Alonso , Elizabeth E. Jenkins , Aneesh V. Manohar

We formulate a generalization of Higgs effective field theory (HEFT) including arbitrary number of extra neutral and charged Higgs bosons (generalized HEFT, GHEFT) to describe non-minimal electroweak symmetry breaking models. Using the…

High Energy Physics - Phenomenology · Physics 2019-10-23 Ryo Nagai , Masaharu Tanabashi , Koji Tsumura , Yoshiki Uchida

The $S$-matrix of a quantum field theory is unchanged by field redefinitions, and so only depends on geometric quantities such as the curvature of field space. Whether the Higgs multiplet transforms linearly or non-linearly under…

High Energy Physics - Phenomenology · Physics 2016-09-21 Rodrigo Alonso , Elizabeth E. Jenkins , Aneesh V. Manohar

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

The Standard Model Effective Field Theory (SMEFT) is the parametrization chosen to interpret many modern measurements. We have recently discussed, building on the work of other groups, that its overall framework can be experimentally…

High Energy Physics - Phenomenology · Physics 2023-01-11 Alexandre Salas-Bernardez , Juan J. Sanz-Cillero , Felipe J. Llanes-Estrada , Raquel Gomez-Ambrosio

From the embedding of the Standard Model Effective Field Theory (SMEFT) in the more general Higgs Effective Field Theory (HEFT), we expose correlations among the coefficients of the latter that, if found to be violated in future data, would…

High Energy Physics - Phenomenology · Physics 2023-09-20 Raquel Gómez-Ambrosio , Felipe J. Llanes-Estrada , Alexandre Salas-Bernárdez , Juan J. Sanz-Cillero

We use a functional approach based on the background-field formalism and the expansion by regions to integrate out the heavy Higgs field (associated with the mass eigenstate H) in a singlet extension of the Standard Model (SM) at the…

High Energy Physics - Phenomenology · Physics 2026-04-02 Stefan Dittmaier , Sebastian Schuhmacher , Maximilian Stahlhofen

The precise measurement of the Higgs boson properties requires a robust framework to parametrize possible deviations from Standard Model (SM) predictions in the most model-independent way possible. The Effective Field Theory (EFT) framework…

High Energy Physics - Phenomenology · Physics 2026-03-03 Ramona Gröber , Alejo N. Rossia , Michał Ryczkowski

We employ a geometric framework to compute the leading high-energy behaviour of tree-level scattering amplitudes in theories containing $N$ Nambu-Goldstone bosons and a single Higgs-like scalar with an arbitrary potential $V$. Using these…

High Energy Physics - Phenomenology · Physics 2025-12-16 Rodrigo Alonso , Susobhan Chattopadhyay , James Ingoldby

We develop the geometric formulation of the Standard Model Effective Field Theory (SMEFT). Using this approach we derive all-orders results in the $\sqrt{2 \langle H^\dagger H \rangle}/\Lambda$ expansion relevant for studies of electroweak…

High Energy Physics - Phenomenology · Physics 2020-06-12 Andreas Helset , Adam Martin , Michael Trott

We present the explicit construction of the effective field theory (EFT) of standard model mass eigenstates. The EFT, which is invariant under $U(1)_{\text{e.m.}}\times SU(3)_c$, is constructed based on the on-shell method and Young Tableau…

High Energy Physics - Phenomenology · Physics 2023-09-22 Zi-Yu Dong , Teng Ma , Jing Shu , Zi-Zheng Zhou

Physics beyond the Standard Model (BSM) can be described in a consistent and general way through the Higgs Effective Field Theory (HEFT). Measurements of model-independent HEFT coefficients allow one to constrain the parameter space of BSM…

High Energy Physics - Phenomenology · Physics 2024-02-29 Sally Dawson , Duarte Fontes , Carlos Quezada-Calonge , Juan José Sanz-Cillero

Higgs Effective Field Theory (HEFT) is deployed to study elastic vector-boson scattering at the high LHC energies. The interaction is strong over most of the parameter space, with the minimal Standard Model being a remarkable exception.…

High Energy Physics - Phenomenology · Physics 2019-10-29 Antonio Dobado , Felipe J. Llanes-Estrada , Alexandre Salas-Bernardez , Rafael L. Delgado

As experiment charts new territory at the electroweak scale, the enterprise to characterise all possible theories becomes all the more necessary. In the absence of new particles, this ambitious enterprise is attainable and has led to the…

High Energy Physics - Phenomenology · Physics 2024-10-08 Rodrigo Alonso , Juan Carlos Criado , Rachel Houtz , Mia West

Effective field theory is an effective approach to parameterizing effects of high energy scale physics in low energy measurements. The two popular frameworks for physics beyond the standard model are the so-called standard model effective…

High Energy Physics - Phenomenology · Physics 2025-08-01 Yi Liao , Xiao-Dong Ma , Yoshiki Uchida

We classify effective field theory (EFT) deformations of the Standard Model (SM) according to the analyticity property of the Lagrangian as a function of the Higgs doublet H. Our distinction in analytic and non-analytic corresponds to the…

High Energy Physics - Phenomenology · Physics 2020-01-08 Adam Falkowski , Riccardo Rattazzi

We study both the CP-even and CP-odd effective chiral Lagrangians of next minimal composite Higgs model {with symmetry breaking pattern depicted by the coset $SO(6)/SO(5)$} through the sigma/omega decomposition, in which the Goldstone…

High Energy Physics - Phenomenology · Physics 2021-01-20 Yong-Hui Qi , Jiang-Hao Yu , Shou-Hua Zhu

A Lagrangian submanifold in an almost Calabi-Yau manifold is called positive if the real part of the holomorphic volume form restricted to it is positive. An exact isotopy class of positive Lagrangian submanifolds admits a natural…

Symplectic Geometry · Mathematics 2014-09-09 Jake P. Solomon

Composite Higgs and neutral-naturalness models are popular scenarios in which the Higgs boson is a pseudo Nambu-Goldstone boson, and naturalness problem is addressed by composite top partners. Since the standard model effective field theory…

High Energy Physics - Phenomenology · Physics 2019-10-02 Hao-Lin Li , Ling-Xiao Xu , Jiang-Hao Yu , Shou-Hua Zhu

After the Higgs boson discovery, LHC can be used as a precision machine to explore its properties. Indeed, in case new resonances will not be found, the only access to New Physics would be via measuring small deviations from the SM…

High Energy Physics - Phenomenology · Physics 2017-05-16 Massimiliano Grazzini , Agnieszka Ilnicka , Michael Spira , Marius Wiesemann
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