Higgs Potential and Spinor Connection within Weinberg-Salem Model

Abstract Composite Higgs models provide an attractive solution to the hierarchy problem. However, many realistic models suffer from tuning problems in the Higgs potential. There are often large contributions from the UV dynamics of the composite resonances to the Higgs potential, and tuning between the quadratic term and the quartic term is required to separate the electroweak breaking scale and the compositeness scale. We consider a composite Higgs model based on the SU(6)/Sp(6) coset, where an enhanced symmetry on the fermion resonances can minimize the Higgs quadratic term. Moreover, a Higgs quartic term from the collective symmetry breaking of the little Higgs mechanism can be realized by the partial compositeness couplings between elementary Standard Model fermions and the composite operators, without introducing new elementary fields beyond the Standard Model and the composite sector. The model contains two Higgs doublets, as well as several additional pseudo-Nambu-Goldstone bosons. To avoid tuning, the extra Higgs bosons are expected to be relatively light and may be probed in the future LHC runs. The deviations of the Higgs couplings and the weak gauge boson couplings also provide important tests as they are expected to be close to the current limits in this model.

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The Swampland Conjectures: A Bridge from Quantum Gravity to Particle Physics

Universe ◽

10.3390/universe7080273 ◽

2021 ◽

Vol 7 (8) ◽

pp. 273

Author(s):

Mariana Graña ◽

Alvaro Herráez

Keyword(s):

Effective Field Theories ◽

Quantum Gravity ◽

Particle Physics ◽

Effective Field ◽

Low Energy ◽

Field Theories ◽

Neutrino Masses ◽

Higgs Potential ◽

Photon Mass ◽

Effective Theories

The swampland is the set of seemingly consistent low-energy effective field theories that cannot be consistently coupled to quantum gravity. In this review we cover some of the conjectural properties that effective theories should possess in order not to fall in the swampland, and we give an overview of their main applications to particle physics. The latter include predictions on neutrino masses, bounds on the cosmological constant, the electroweak and QCD scales, the photon mass, the Higgs potential and some insights about supersymmetry.

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Killing superalgebras for lorentzian five-manifolds

Journal of High Energy Physics ◽

10.1007/jhep07(2021)209 ◽

2021 ◽

Vol 2021 (7) ◽

Author(s):

Andrew Beckett ◽

José Figueroa-O’Farrill

Keyword(s):

Spin Manifold ◽

Field Equations ◽

Spinor Bundle ◽

Killing Spinors ◽

Spinor Connection ◽

Spencer Cohomology ◽

Definition Of ◽

Supersymmetric Theories ◽

Filtered Deformations

Abstract We calculate the relevant Spencer cohomology of the minimal Poincaré superalgebra in 5 spacetime dimensions and use it to define Killing spinors via a connection on the spinor bundle of a 5-dimensional lorentzian spin manifold. We give a definition of bosonic backgrounds in terms of this data. By imposing constraints on the curvature of the spinor connection, we recover the field equations of minimal (ungauged) 5-dimensional supergravity, but also find a set of field equations for an $$ \mathfrak{sp} $$ sp (1)-valued one-form which we interpret as the bosonic data of a class of rigid supersymmetric theories on curved backgrounds. We define the Killing superalgebra of bosonic backgrounds and show that their existence is implied by the field equations. The maximally supersymmetric backgrounds are characterised and their Killing superalgebras are explicitly described as filtered deformations of the Poincaré superalgebra.

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Constraining flavour symmetries at the EW scale I: the A 4 Higgs potential

Journal of High Energy Physics ◽

10.1007/jhep03(2011)035 ◽

2011 ◽

Vol 2011 (3) ◽

Cited By ~ 30

Author(s):

Reinier de Adelhart Toorop ◽

Federica Bazzocchi ◽

Luca Merlo ◽

Alessio Paris

Keyword(s):

Higgs Potential

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Symmetry breaking and conformal coupling with a generalized Higgs potential and the role of the generalized Duffin-Loret equation in the early universe

The European Physical Journal Plus ◽

10.1140/epjp/i2014-14220-2 ◽

2014 ◽

Vol 129 (10) ◽

Cited By ~ 2

Author(s):

Rami Ahmad El-Nabulsi

Keyword(s):

Symmetry Breaking ◽

Early Universe ◽

Higgs Potential

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Research on a complete model of cosmological evolution a classical scalar field with a Higgs potential. II. Numerical simulation

Izvestiya vysshikh uchebnykh zavedenii. Fizika ◽

10.17223/00213411/64/5/147 ◽

2021 ◽

pp. 147-151

Author(s):

Yu.G. Ignat’ev ◽

◽

A.R. Samigullina ◽

Keyword(s):

Numerical Simulation ◽

Computer Simulation ◽

Scalar Field ◽

Initial Conditions ◽

Higgs Field ◽

Hubble Constant ◽

Cosmological Evolution ◽

Higgs Potential ◽

Complete Model ◽

Expansion Stage

A study and computer simulation of a complete model of the cosmological evolution of a classical scalar field with a Higgs potential is carried out without the assumption that the Hubble constant is nonnegative. It is shown that in most cases of initial conditions the cosmological model passes from the expansion stage to the compression stage. Thus, cosmological models based on the classical Higgs field are unstable with respect to finite perturbations.

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