Constraints on the reheating phase after Higgs inflation in the hybrid metric-Palatini approach

Abstract

In this paper, we study the post-inflationary era called reheating stage. For this purpose, we consider a model in which the inflaton is non-minimally coupled to the curvature within the hybrid metric-Palatini approach. Furthermore, to investigate the consistency of our results with the observational data, we relate reheating parameters to those of inflation model. By taking into consideration the Higgs potential $V(\varphi )=\lambda /4{\varphi }^4$; we derive the necessary quantities needed to obtain the reheating duration and the reheating temperature. Moreover, we plot reheating e-folds and temperature as a function of the spectral index, respectively. We consider three cases depending on the coupling constant $\xi$. In addition, we use some specific values of the effective equation of state $\omega$, which is presumed to remain relatively constant within the range of $-\frac{1}{3}\le \omega <\frac{1}{3}$. We find that for $\xi =10^{-4.1}$ our results are in agreement with the recent Planck data as the reheating instant is corresponding to the central value of the spectral index and to a maximum temperature required by the scale of baryogenesis models.

10 pages, 7 figures

References in corpus (9)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• The Standard Model Higgs boson as the inflaton
• Higgs-Palatini Inflation and Unitarity
• Reheating and Post-inflationary Production of Dark Matter
• Tracing the high energy theory of gravity: an introduction to Palatini inflation
• ${\varphi }^2$ Inflation at its Endpoint
• Non-minimal Higgs inflation within holographic cosmology
• Scalar warm inflation in holographic cosmology
• Higgs inflation model with non-minimal coupling in hybrid Palatini approach

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