Generating a Higgs Potential Quartic Term

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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Electroweak phase transition triggered by fermion sector

Journal of High Energy Physics ◽

10.1007/jhep01(2022)001 ◽

2022 ◽

Vol 2022 (1) ◽

Author(s):

Qing-Hong Cao ◽

Katsuya Hashino ◽

Xu-Xiang Li ◽

Zhe Ren ◽

Jiang-Hao Yu

Keyword(s):

Phase Transition ◽

Quadratic Term ◽

Mass Hierarchy ◽

Higgs Potential ◽

Electroweak Phase Transition ◽

First Order ◽

First Order Phase Transition ◽

Higher Dimensional ◽

Quartic Term ◽

First Order Phase

Abstract To realize first-order electroweak phase transition, it is necessary to generate a barrier in the thermal Higgs potential, which is usually triggered by scalar degree of freedom. We instead investigate phase transition patterns in pure fermion extensions of the standard model, and find that additional fermions with mass hierarchy and mixing could develop such a barrier and realize a strongly first-order phase transition in such models. In the Higgs potential with polynomial parametrization, the barrier can be generated in the following two patterns by fermionic reduction effects: (I) positive quadratic term, negative cubic term and positive quartic term or (II) positive quadratic term, negative quartic term and positive higher dimensional term, such as dimensional 6 operator.

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Time-dependent propagator for an-harmonic oscillator with quartic term in potential

Journal of Mathematical Physics ◽

10.1063/5.0018545 ◽

2021 ◽

Vol 62 (2) ◽

pp. 023501

Author(s):

J. Boháčik ◽

P. Prešnajder ◽

P. Augustín

Keyword(s):

Harmonic Oscillator ◽

Time Dependent ◽

Quartic Term

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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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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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Reflection moveout approximation for a P-SV wave in a moderately anisotropic homogeneous vertical transverse isotropic layer

Geophysics ◽

10.1190/geo2018-0474.1 ◽

2019 ◽

Vol 84 (2) ◽

pp. C75-C83 ◽

Cited By ~ 2

Author(s):

Véronique Farra ◽

Ivan Pšenčík

Keyword(s):

Numerical Solution ◽

Taylor Series Expansion ◽

Pure Mode ◽

Isotropic Layer ◽

Weak Anisotropy ◽

Reflected Waves ◽

Quartic Equation ◽

S Waves ◽

Conversion Point ◽

Quartic Term

A description of the subsurface is incomplete without the use of S-waves. Use of converted waves is one way to involve S-waves. We have developed and tested an approximate formula for the reflection moveout of a wave converted at a horizontal reflector underlying a homogeneous transversely isotropic layer with the vertical axis of symmetry. For its derivation, we use the weak-anisotropy approximation; i.e., we expand the square of the reflection traveltime in terms of weak-anisotropy (WA) parameters. Traveltimes are calculated along reference rays of converted reflected waves in a reference isotropic medium. This requires the determination of the point of reflection (the conversion point) of the reference ray, at which the conversion occurs. This can be done either by a numerical solution of a quartic equation or by using a simple approximate solution. Presented tests indicate that the accuracy of the proposed moveout formula is comparable with the accuracy of formulas derived in a weak-anisotropy approximation for pure-mode reflected waves. Specifically, the tests indicate that the maximum relative traveltime errors are well below 1% for models with P- and SV-wave anisotropy of approximately 10% and less than 2% for models with P- and SV-wave anisotropy of 25% and 12%, respectively. For isotropic media, the use of the conversion point obtained by numerical solution of the quartic equation yields exact results. The approximate moveout formula is used for the derivation of approximate expressions for the two-way zero-offset traveltime, the normal moveout velocity and the quartic term of the Taylor series expansion of the squared traveltime.

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