# Electroweak vacuum instability and renormalized vacuum field fluctuations in Friedmann-Lemaitre-Robertson-Walker background

@article{Kohri2018ElectroweakVI, title={Electroweak vacuum instability and renormalized vacuum field fluctuations in Friedmann-Lemaitre-Robertson-Walker background}, author={Kazunori Kohri and Hiroki Matsui}, journal={Physical Review D}, year={2018} }

The cosmological Higgs vacuum stability has been an attractive research subject, and it is crucial to accurately follow the development of the Higgs fluctuations. In this work, we thoroughly investigate how the vacuum fluctuations of the Higgs field affect the stability of the electroweak vacuum in Friedmann-Lemaitre-Robertson-Walker (FLRW) background. Adopting adiabatic Wentzel-Kramers-Brillouin method approximation or adiabatic regularization methods, we clearly show that vacuum fluctuations…

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## References

SHOWING 1-10 OF 130 REFERENCES

### Electroweak vacuum instability and renormalized Higgs field vacuum fluctuations in the inflationary universe

- Physics
- 2016

In this work, we investigated the electroweak vacuum instability during or after inflation. In the inflationary Universe, i.e., de Sitter space, the vacuum field fluctuations < δ ϕ 2 > enlarge in…

### Higgs vacuum metastability in primordial inflation, preheating, and reheating

- Physics
- 2016

Current measurements of the Higgs boson mass and top Yukawa coupling suggest that the effective Higgs potential develops an instability below the Planck scale. If the energy scale of inflation is as…

### Probable or improbable universe? Correlating electroweak vacuum instability with the scale of inflation

- Physics
- 2015

A bstractMeasurements of the Higgs boson and top quark masses indicate that the Standard Model Higgs potential becomes unstable around ΛI ∼ 1011 GeV. This instability is cosmologically relevant since…

### Electroweak stability and non-minimal coupling

- Physics
- 2017

The measured values of the Higgs and top quark mass indicate that the electroweak vacuum is metastable if there is no new physics below the Planck scale. This is at odds with a period of high scale…

### Gravitational perturbations of the Higgs field

- Physics
- 2017

We study the possible effects of classical gravitational backgrounds on the Higgs field through the modifications induced in the one-loop effective potential and the vacuum expectation value of the…

### Higgs effective potential in a perturbed Robertson-Walker background

- Physics
- 2014

We calculate the one-loop effective potential of a scalar field in a Robertson-Walker background with scalar metric perturbations. A complete set of orthonormal solutions of the perturbed equations…

### Is a Higgs Vacuum Instability Fatal for High-Scale Inflation?

- Physics
- 2015

We study the inflationary evolution of a scalar field h with an unstable potential for the case where the Hubble parameter H during inflation is larger than the instability scale ΛI of the potential.…

### Spacetime dynamics of a Higgs vacuum instability during inflation

- Physics
- 2017

A remarkable prediction of the Standard Model is that, in the absence of corrections lifting the energy density, the Higgs potential becomes negative at large field values. If the Higgs field samples…