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

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 (ϕ) = λ / 4 ϕ 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 ξ. In addition, we use some specific values of the effective equation of state ω , which is presumed to remain relatively constant within the range of − 1 3 ≤ ω < 1 3. We find that for ξ = 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. [ABSTRACT FROM AUTHOR]