Vacuum decay constraints on the Higgs curvature coupling from inflation

Mantziris, Andreas; Markkanen, Tommi; Rajantie, Arttu

doi:10.48550/arxiv.2011.03763

Cited by 3 publications

(3 citation statements)

References 51 publications

(64 reference statements)

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“…12 Requiring the effective Higgs mass to exceed the Hubble rate, one finds the lower bound on the coupling, ξ h 10 −1 [86]. Similar results have been obtained using a more sophisticated effective potential analysis in de Sitter space [92], [93] as well as bubble nucleation during inflation [102].…”

Section: Stabilizing the Higgs Potential During Inflationsupporting

confidence: 71%

The Higgs Portal to Cosmology

Lebedev

2021

Preprint

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The discovery of the Higgs boson has opened a new avenue for exploring physics beyond the Standard Model. In this review, we discuss cosmological aspects of the simplest Higgs couplings to the hidden sector, known as the Higgs portal. We focus on implications of such couplings for inflation, vacuum stability and dark matter, with the latter including both the traditional weakly interacting massive particles as well as feebly interacting scalars. The cosmological impact of the Higgs portal can be important even for tiny values of the couplings.

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Section: Stabilizing the Higgs Potential During Inflationsupporting

confidence: 71%

The Higgs Portal to Cosmology

Lebedev

2021

Preprint

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“…The Standard Model Higgs potential may display an instability at large field values h > ∼ h top ∼ 10 10 GeV [3][4][5], with important cosmological implications [1,[6][7][8][9][10][11][12][13][14][15]. After radiative corrections are taken into account, the SM potential can be approximated through an effective running coupling as…”

Section: Introductionmentioning

confidence: 99%

Exact solutions for Vacuum Decay in Unbounded Potentials

Tetradis¹

2023

Preprint

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The Standard Model Higgs potential may become unbounded from below at large field values h > ∼ htop ∼ 10 10 GeV, with important cosmological implications. For a potential of this form, the commonly assumed scenario of a nucleated thin-wall bubble driving the transition from the electroweak vacuum to the unstable region does not apply. We present exact analytical solutions for potentials that have the same qualitative form as the Higgs potential. They show that the transition is driven by a thick-wall spherical bubble of true vacuum, with a surface that expands at asymptotically the speed of light. A 'crunch' singularity appears in the quasi-AdS interior, with the collapsed region also expanding at asymptotically the speed of light. The singularity is surrounded by a region of trapped surfaces whose boundary forms an apparent horizon. An event horizon separates the singularity from the bubble exterior, so that the expansion of the bubble surface is not affected by the collapse of the interior. The solutions provide exact descriptions of the geometry for thick-wall bubbles and are consistent with the analysis of [1,2] for the Higgs potential.

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“…Our results depend on the details of the Higgs dynamics during inflation and can be used to constrain unknown physics above the electroweak scale. This includes inferring the RG flow of the Higgs self-coupling at high energies and the presence of additional Planck-suppressed operators and stabilizing terms in the Higgs potential (see, for example [49,50]). Extending our formalism to include scale information will allow us to detect scaledependent features, such as couplings of the Higgs to the inflaton, leading to a time-dependent effective Higgs mass during inflation.…”

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confidence: 99%