Decay rate of electroweak vacuum in the standard model and beyond

Chigusa, So; Shoji, Yutaro; Moroi, Takeo

doi:10.1103/physrevd.97.116012

Cited by 61 publications

(73 citation statements)

References 113 publications

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“…Recently, the analytic formulas for the prefactor, A, at the one-loop level have been derived [39,41], which are applicable to the case where the theory is approximately scale invariant and the bounce consists of a single field. In the following, we extend their results to the case where the bounce consists of more than one fields.…”

Section: A Formulationmentioning

confidence: 99%

High scale validity of the DFSZ axion model with precision

Oda

Shoji

Takahashi

2020

J. High Energ. Phys.

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With the assumption of classical scale invariance at the Planck scale, the DFSZ axion model can generate the Higgs mass terms of the appropriate size through technically natural parameters and may be valid up to the Planck scale. We discuss the high scale validity of the Higgs sector, namely the absence of Landau poles and the vacuum stability. The Higgs sector is identical to that of the type-II two Higgs doublet model with a limited number of the Higgs quartic couplings. We utilize the state-of-the-art method to calculate vacuum decay rates and find that they are enhanced at most by 10 10 compared with the tree level evaluation. We also discuss the constraints from flavor observables, perturbative unitarity, oblique parameters and collider searches. We find that the high scale validity tightly constrains the parameter region, but there is still a chance to observe at most about 10% deviation of the 125 GeV Higgs couplings to the fermions.

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Section: A Formulationmentioning

confidence: 99%

High scale validity of the DFSZ axion model with precision

Oda

Shoji

Takahashi

2020

J. High Energ. Phys.

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“…(The result is given in Eq. (25); a more detailed derivation of the following formulae will be given elsewhere [18].) Combining the contributions of particles which have sizable couplings with the bounce, the decay rate of the EW vacuum is expressed as…”

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confidence: 99%

State-of-the-Art Calculation of the Decay Rate of Electroweak Vacuum in the Standard Model

2017

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The decay rate of the electroweak (EW) vacuum is calculated in the framework of the standard model (SM) of particle physics, using the recent progresses in the understanding of the decay rate of metastable vacuum in gauge theories. We give a manifestly gauge-invariant expression of the decay rate. We also perform a detailed numerical calculation of the decay rate. With the best-fit values of the SM parameters, we find that the decay rate of the EW vacuum per unit volume is about 10 −554 Gyr −1 Gpc −3 ; with the uncertainty in the top mass, the decay rate is estimated as 10Introduction: It is highly non-trivial whether the vacuum we are living in, which we call electroweak (EW) vacuum, is absolutely stable or not. If there exists a vacuum which has lower energy density than that of the EW vacuum, which is the case in a large class of particle-physics models, the EW vacuum decays via the quantum tunneling effect. If the decay rate is too large, the universe should have been experienced a phase transition before the present epoch, with which the universe would show completely different aspects than the present one. From the particle-physics and cosmology points of view, the stability of the EW vacuum is of particular interest to have deep insight into particle-physics models and the nature of the universe. Even in the standard model (SM) of particle physics, which is extremely successful to explain particle interactions, the EW vacuum may be metastable [1][2][3][4][5][6][7]. In particular, the discovery of the Higgs boson by the LHC experiments [8,9] shed light on the stability of the EW vacuum. The observed value of the Higgs mass suggests that the Higgs quartic coupling becomes negative via the renormalization group (RG) effects at energy scale much higher than the EW scale. This fact implies that the Higgs potential becomes negative and that the EW vacuum is not absolutely stable if the SM is valid up to a scale much higher than the EW scale.The decay rate of the EW vacuum has been estimated in the past, mostly using the method given in [10][11][12]. The decay rate of the metastable vacuum (i.e., false vacuum) per unit volume, which we call γ, is given in the following form:

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“…While the problem of tunneling in classically scaleinvariant scalar theory has been addressed in a number of earlier articles [3][4][5][6]19], the present method is complementary in the following aspects:…”

Section: Discussionmentioning

confidence: 97%

“…A geometric dilatation is generated byD ¼ x μ ∂ μ , and taking account of the scaling dimension one for the scalar field, a scale transformation is generated by D ¼ 1 þD ¼ 1 þ x μ ∂ μ , which we refer to as a dilatation (without the adjective geometric), in the same way this term is used in recent literature [5,19]. Spherical symmetry then implies thatDφðrÞ ¼r∂ r φðrÞ ≈ −R∂ R φðrÞ, where the latter approximation holds only in the thin-wall regime, since sech 2 ½γðr − RÞ is strongly peaked at r ∼ R, which confirms that the shape of the negative mode is close to a dilatation.…”

Section: Thin Wallmentioning

confidence: 99%

Fluctuations about the Fubini-Lipatov instanton for false vacuum decay in classically scale invariant models

Garbrecht

Millington

2018

Phys. Rev. D

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For a scalar theory whose classical scale invariance is broken by quantum effects, we compute selfconsistent bounce solutions and Green's functions. Deriving analytic expressions, we find that the latter are similar to the Green's functions in the archetypal thin-wall model for tunneling between quasidegenerate vacua. The eigenmodes and eigenspectra are, however, very different. Large infrared effects from the modes of low angular momentum j ¼ 0 and j ¼ 1, which include the approximate dilatational modes for j ¼ 0, are dealt with by a resummation of one-loop effects. For a parametric example, this resummation is carried out numerically.

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Decay rate of electroweak vacuum in the standard model and beyond

Cited by 61 publications

References 113 publications

High scale validity of the DFSZ axion model with precision

High scale validity of the DFSZ axion model with precision

State-of-the-Art Calculation of the Decay Rate of Electroweak Vacuum in the Standard Model

Fluctuations about the Fubini-Lipatov instanton for false vacuum decay in classically scale invariant models

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