Constraints on the reheating phase after Higgs inflation in the hybrid metric-Palatini approach
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866917674478469120 |
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| author | Asfour, Brahim Bargach, Aatifa Ladghami, Yahya Errahmani, Ahmed Ouali, Taoufik |
| author_facet | Asfour, Brahim Bargach, Aatifa Ladghami, Yahya Errahmani, Ahmed Ouali, Taoufik |
| contents | 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 $-\frac{1}{3} \leq ω< \frac{1}{3}$. 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_15535 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Constraints on the reheating phase after Higgs inflation in the hybrid metric-Palatini approach Asfour, Brahim Bargach, Aatifa Ladghami, Yahya Errahmani, Ahmed Ouali, Taoufik General Relativity and Quantum Cosmology 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 $-\frac{1}{3} \leq ω< \frac{1}{3}$. 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. |
| title | Constraints on the reheating phase after Higgs inflation in the hybrid metric-Palatini approach |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2404.15535 |