Minimal Higgs inflation

Abstract

In this paper we propose two simple minimal Higgs inflation scenarios through a simple modification of the Higgs potential, as opposed to the usual non-minimal Higgs-gravity coupling prescription. The modification is done in such a way that it creates a flat plateau for a huge range of field values at the inflationary energy scale $\mu \simeq (\lambda {)}^{1/4}\alpha$. Assuming the perturbative Higgs quartic coupling, $\lambda \simeq \mathcal{O}(1)$, for both the models inflation energy scale turned out to be $\mu \simeq (10^{14},10^{15})$ GeV, and prediction of all the cosmologically relevant quantities, $(n_s,r,d{n}_s^k)$, fit extremely well with observations made by PLANCK. Considering observed central value of the scalar spectral index, $n_s=0.968$, our two models predict efolding number, $N=(52,47)$. Within a wide range of viable parameter space, we found that the prediction of tensor to scalar ratio $r(\le 10^{-5})$ is far below the current experimental sensitivity to be observed in the near future. The prediction for the running of scalar spectral index, $d{n}_s^k$, approximately remains the same as was predicted by the usual chaotic and quartic inflation scenario. We also the computed the background field dependent unitarity scale $\Lambda (h)$, which turned out to be much larger than the aforementioned inflationary energy.

5 pages,2 figures, unitarity issue discussed

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• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Big-Bang Nucleosynthesis
• The Standard Model Higgs boson as the inflaton
• Minimal Supergravity Models of Inflation
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• On the unitarity of linearized General Relativity coupled to matter
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Cited by in corpus (7)

• Inflation with a quartic potential in the framework of Einstein-Gauss-Bonnet gravity
• Two phase reheating: CMB constraints on inflaton and dark matter phenomenology
• CMB constraints on dark matter phenomenology via reheating in minimal plateau inflation
• Minimal plateau inflationary cosmologies and constraints from reheating
• Non-Minimal Inflation with a scalar-curvature mixing term $\frac{1}{2}\xi R{\varphi }^2$
• Higgs inflation in complex geometrical scalar-tensor theory of gravity
• Gravitational waves during Higgs inflation from complex geometrical scalar-tensor theory of gravity