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Stability of the effective potential of the gauge-less top-Higgs model in curved spacetime

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TLDR
In this article, the Ricci scalar, Ricci tensor and Riemann tensor were investigated for the top-Higgs sector with an additional scalar field and the effect of these terms on the stability of the scalar effective potential was investigated.
Abstract
We investigate stability of the Higgs effective potential in curved spacetime. To this end, we consider the gauge-less top-Higgs sector with an additional scalar field. Explicit form of the terms proportional to the squares of the Ricci scalar, the Ricci tensor and the Riemann tensor that arise at the one-loop level in the effective action has been determined. We have investigated the influence of these terms on the stability of the scalar effective potential. The result depends on background geometry. In general, the potential becomes modified both in the region of the electroweak minimum and in the region of large field strength.

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Cosmological Aspects of Higgs Vacuum Metastability

TL;DR: In this paper, the authors present a comprehensive review of the implications from Higgs vacuum metastability for cosmology along with a pedagogical discussion of the related theoretical topics, including renormalization group improvement, quantum field theory in curved spacetime and vacuum decay in field theory.
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The 1-loop effective potential for the Standard Model in curved spacetime

TL;DR: In this article, the renormalisation group improved Standard Model effective potential in an arbitrary curved spacetime is computed to one loop order in perturbation theory, and loop corrections are computed in the ultraviolet limit, which makes them independent of the choice of the vacuum state and allows the derivation of the complete set of β-functions.
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Dark matter from gravitational particle production at reheating

TL;DR: In this paper, it was shown that curvature induced particle production at reheating generates adi- abatic dark matter if there are non-minimally coupled spectator scalars weakly coupled to visible matter.
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Impact of generalized Yukawa interactions on the lower Higgs mass bound

TL;DR: In this article, the authors investigated the impact of higher-order operators on the lower Higgs-mass consistency bound by means of generalized Higgs and Yukawa interactions, and showed that higher order operators in the Higgs potential can lead to a shift of the scale of new physics towards larger scales by a few orders of magnitude without introducing a metastability.
References
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Journal ArticleDOI

The Standard Model Higgs boson as the inflaton

TL;DR: In this paper, the authors argue that the Higgs boson of the Standard Model can lead to inflation and produce cosmological perturbations in accordance with observations, and that the essential requirement is the non-minimal coupling of the scalar field to gravity; no new particle besides already present in the electroweak theory is required.
Journal ArticleDOI

Quantum field theory in curved spacetime

TL;DR: Apparatus for extracting emboli comprising a cannula, preferably guidable, adapted to be projected through a body passage to a point adjacent the embolus to be removed, together with a catheter adapted toBe passed through the cannula and having an inflatable balloon.
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Higgs mass and vacuum stability in the Standard Model at NNLO

TL;DR: In this article, the authors presented the first complete next-to-next-toleading order analysis of the Standard Model Higgs potential, showing that at the Planck scale, absolute stability of the potential is not guaranteed at 98% C.L. for Mh < 126 GeV.
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