False vacuum decay in gauge theory

Endo, Motoi; Moroi, Takeo; Nojiri, Mihoko M.; Shoji, Yutaro

doi:10.1007/jhep11(2017)074

Cited by 28 publications

(63 citation statements)

References 51 publications

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“…Since very recently, however, it was not known how to implement an explicit gauge-invariant calculation of this quantity. The prescription for such a computation was finally given in [48]. Successively, in [49,50] the results of the latter analysis were applied to the computation of the EW vacuum decay rate in the SM.…”

Section: New Physics: Fermions and Bosons With Large Massesmentioning

confidence: 99%

“…Clearly the goal is no longer to derive bounds on its mass, but rather to perform more refined analyses that should allow to discriminate between absolute stability or metastability for the EW vacuum [18][19][20][21], to study the cosmological impact of the vacuum stability condition during and after inflation [22][23][24][25][26][27][28][29][30][31][32], and to test the impact that different NP scenarios can have on the vacuum stability condition [18,[33][34][35][36][37][38][39][40][41][42][43][44]. This renewed interest also prompted a more careful treatment of issues as the gauge invariance of the vacuum decay rate and the contribution of zero modes to the quantum fluctuation determinant [45][46][47][48][49][50].…”

Section: Introductionmentioning

confidence: 99%

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Impact of new physics on the EW vacuum stability in a curved spacetime background

Bentivegna

Branchina

Contino

et al. 2017

J. High Energ. Phys.

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It has been recently shown that, contrary to an intuitive decoupling argument, the presence of new physics at very large energy scales (say around the Planck scale) can have a strong impact on the electroweak vacuum lifetime. In particular, the vacuum could be totally destabilized. This study was performed in a flat spacetime background, and it is important to extend the analysis to curved spacetime since these are Planckian-physics effects. It is generally expected that under these extreme conditions gravity should totally quench the formation of true vacuum bubbles, thus washing out the destabilizing effect of new physics. In this work we extend the analysis to curved spacetime and show that, although gravity pushes toward stabilization, the destabilizing effect of new physics is still (by far) the dominating one. In order to get model independent results, high energy new physics is parametrized in two different independent ways: as higher order operators in the Higgs field, or introducing new particles with very large masses. The destabilizing effect is observed in both cases, hinting at a general mechanism that does not depend on the parametrization details for new physics, thus maintaining the results obtained from the analysis performed in flat spacetime.

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Section: New Physics: Fermions and Bosons With Large Massesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Impact of new physics on the EW vacuum stability in a curved spacetime background

Bentivegna

Branchina

Contino

et al. 2017

J. High Energ. Phys.

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“…Recently, the correct treatment has been found [38] and the one-loop calculation for the SM has been completed [39][40][41]. In addition, the analytic expression for A at the one-loop level has become available [39,41] for an approximately scale invariant theory.…”

Section: Introductionmentioning

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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“…The explicit forms of the fluctuation operators are shown in Appendix A. Using a theorem [29,[60][61][62][63], the ratio of the functional determinants can be calculated aswhere Ψ = (Ψ 1 , Ψ 2 , · · · ) andΨ = (Ψ 1 ,Ψ 2 , · · · ) are sets of independent solutions of M (X) 23) and are regular at r = 0. Notice that, when M (X) J is an n×n object, there are n independent solutions that are regular at r = 0.…”

mentioning

confidence: 99%

Decay rate of electroweak vacuum in the standard model and beyond

2018

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We perform a precise calculation of the decay rate of the electroweak vacuum in the standard model as well as in models beyond the standard model. We use a recently developed technique to calculate the decay rate of a false vacuum, which provides a gauge invariant calculation of the decay rate at the oneloop level. We give a prescription to take into account the zero modes in association with translational, dilatational, and gauge symmetries. We calculate the decay rate per unit volume, γ, by using an analytic formula. The decay rate of the electroweak vacuum in the standard model is estimated to be log 10 γ × Gyr Gpc 3 ¼ −582 þ40þ184þ144þ2 −45−329−218−1 , where the first, second, third, and fourth errors are due to the uncertainties of the Higgs mass, the top quark mass, the strong coupling constant and the choice of the renormalization scale, respectively. The analytic formula of the decay rate, as well as its fitting formula given in this paper, is also applicable to models that exhibit a classical scale invariance at a high energy scale. As an example, we consider extra fermions that couple to the standard model Higgs boson, and discuss their effects on the decay rate of the electroweak vacuum.

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False vacuum decay in gauge theory

Cited by 28 publications

References 51 publications

Impact of new physics on the EW vacuum stability in a curved spacetime background

Impact of new physics on the EW vacuum stability in a curved spacetime background

High scale validity of the DFSZ axion model with precision

Decay rate of electroweak vacuum in the standard model and beyond

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