Systematic analysis of radiative symmetry breaking in models with extended scalar sector

Chataignier, Leonardo; Prokopec, Tomislav; Schmidt, Michael G.; Świeżewska, Bogumiła

doi:10.1007/jhep08(2018)083

Cited by 25 publications

(47 citation statements)

References 123 publications

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“…Furthermore, we do not discuss the issue of renormalisation group improvement of the effective potential (see e.g. refs [75,85] and references therein) since we focus on the thermal effects. Nonetheless, it can be important in the regimes where the zero-temperature part of the effective potential dominates.…”

Section: Discussionmentioning

confidence: 99%

“…where g, g and g X are the SU(2), U(1) and the new SU(2) X gauge couplings, and y t denotes the top Yukawa coupling. In practical computations we ignore the Goldstone-bosons' contributions to the one-loop correction as their numerical impact on the results is negligible for the values of the couplings considered here (see [75]), while including them one has to face several complications. The Goldstone masses squared at certain field values become negative, thus introducing imaginary component to the effective potential.…”

Section: Effective Potential At Zero Temperaturementioning

confidence: 99%

“…We perform the computations for the benchmark points shown in Table 4.1, defined such as to probe the parameter space where the potential is stable up to the Planck scale (following the analysis of ref. [75]). They are characterised by the couplings λ 1 , λ 2 , λ 3 and g X , at the scale µ = v = 246 GeV.…”

Section: Numerical Proceduresmentioning

confidence: 99%

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Gravitational waves from conformal symmetry breaking

Prokopec

Rezacek

Świeżewska

2019

J. Cosmol. Astropart. Phys.

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We consider the electroweak phase transition in the conformal extension of the standard model known as SU(2)cSM. Apart from the standard model particles, this model contains an additional scalar and a gauge field that are both charged under the hidden SU(2) X . This model generically exhibits a very strong phase transition that proceeds after a large amount of supercooling. We estimate the gravitational wave spectrum produced in this model and show that its amplitude and frequency fall within the observational window of LISA. We also discuss potential pitfalls and relevant points of improvement required to attain reliable estimates of the gravitational wave production in this -as well as in more generalclass of models. In order to improve perturbativity during the early stages of transition that ends with bubble nucleation, we solve a thermal gap equation in the scalar sector inspired by the 2PI effective action formalism.

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Section: Discussionmentioning

confidence: 99%

Section: Effective Potential At Zero Temperaturementioning

confidence: 99%

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Gravitational waves from conformal symmetry breaking

Prokopec

Rezacek

Świeżewska

2019

J. Cosmol. Astropart. Phys.

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“…As a matter of fact, many people [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24] have tried to explain the weak scale from its dynamics, considering a classically scale invariant model with added fields corresponding to dark matter. In many of these works, they introduce new scalar fields, fermions and gauge fields, and some of the scalar fields have vacuum expectation values through the Coleman-Weinberg mechanism [25].…”

Section: Intronductionmentioning

confidence: 99%

Weak scale from Planck scale: Mass scale generation in a classically conformal two-scalar system

Haruna

Kawai

2020

Progress of Theoretical and Experimental Physics

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In the standard model, the weak scale is the only parameter with mass dimensions. This means that the standard model itself can not explain the origin of the weak scale. On the other hand, from the results of recent accelerator experiments, except for some small corrections, the standard model has increased the possibility of being an effective theory up to the Planck scale. From these facts, it is naturally inferred that the weak scale is determined by some dynamics from the Planck scale.In order to answer this question, we rely on the multiple point criticality principle as a clue and consider the classically conformal Z 2 × Z 2 invariant two scalar model as a minimal model in which the weak scale is generated dynamically from the Planck scale. This model contains only two real scalar fields and does not contain any fermions and gauge fields.In this model, due to Coleman-Weinberg-like mechanism, one scalar field spontaneously breaks the Z 2 symmetry with a vacuum expectation value connected with the cutoff momentum. We investigate this using the 1-loop effective potential, renormalization group and large N limit.We also investigate whether it is possible to reproduce the mass term and vacuum expectation value of the Higgs field by coupling this model with the standard model in the Higgs portal framework. In this case, the one scalar field that does not break Z 2 can be a candidate for dark matter, and have a mass of about several TeV in appropriate parameters. On the other hand, the other scalar field breaks Z 2 and has a mass of several tens of GeV. These results can be verified in near future experiments.

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“…In ref. [31] the RG improved effective potential in classical conformal theory is analyzed based on the method of ref. [30].…”

Section: Introductionmentioning

confidence: 99%

Construction of a renormalization group improved effective potential in a two real scalar system

Ookane

2019

Progress of Theoretical and Experimental Physics

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We study the improvement of effective potential by renormalization group (RG) equation in a two real scalar system. We clarify the logarithmic structure of the effective potential in this model. Based on the analysis of the logarithmic structure of it, we find that the RG improved effective potential up to L-th-to-leading log order can be calculated by the L-loop effective potential and (L + 1)-loop β and γ functions. To obtain the RG improved effective potential, we choose the mass eigenvalue as a renormalization scale. If another logarithm at the renormalization scale is large, we decouple the heavy particle from the RG equation and we must modify the RG improved effective potential. In this paper we treat such a situation and evaluate the RG improved effective potential. Although this method was previously developed in a single scalar case, we implement the method in a two real scalar system. The feature of this method is that the choice of the renormalization scale does't change even in a calculation of higher leading log order. Following the our method one can derive the RG improved effective potential in a multiple scalar model. * hideaki-ookane@hiroshima-u.ac.jp

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Systematic analysis of radiative symmetry breaking in models with extended scalar sector

Cited by 25 publications

References 123 publications

Gravitational waves from conformal symmetry breaking

Gravitational waves from conformal symmetry breaking

Weak scale from Planck scale: Mass scale generation in a classically conformal two-scalar system

Construction of a renormalization group improved effective potential in a two real scalar system

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