Large Field Polynomial Inflation in Palatini $f(R,ϕ)$ Gravity
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arXiv
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| Natura: | Preprint |
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2024
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| _version_ | 1866915159916675072 |
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| author | Bostan, Nilay Karahan, Canan Sargın, Ozan |
| author_facet | Bostan, Nilay Karahan, Canan Sargın, Ozan |
| contents | In this paper, we employ the Palatini formalism to investigate the dynamics of large-field inflation using a renormalizable polynomial inflaton potential in the context of $f(R,ϕ)$ gravity. Assuming instant reheating, we make a comparative analysis of large-field polynomial inflation (PI). We first consider the minimal and non-minimal coupling of inflaton in $R$ gravity, and then we continue with the minimally and non-minimally coupled inflaton in $f(R,ϕ)$ gravity. We scan the parameter space for the inflationary predictions ($n_s$ and $r$) consistent with the Planck and BICEP/Keck 2018 results as well as the sensitivity forecast of the future CMB-S4 and depict the compliant regions in the $ϕ_0-β$ plane where $ϕ_0$ and $β$ are two parameters of polynomial inflation model which control the saddle point of the potential and the flatness in the vicinity of this point respectively. We find that a substantial portion of the parameter space aligns with the observational data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_07995 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Large Field Polynomial Inflation in Palatini $f(R,ϕ)$ Gravity Bostan, Nilay Karahan, Canan Sargın, Ozan Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology High Energy Physics - Phenomenology In this paper, we employ the Palatini formalism to investigate the dynamics of large-field inflation using a renormalizable polynomial inflaton potential in the context of $f(R,ϕ)$ gravity. Assuming instant reheating, we make a comparative analysis of large-field polynomial inflation (PI). We first consider the minimal and non-minimal coupling of inflaton in $R$ gravity, and then we continue with the minimally and non-minimally coupled inflaton in $f(R,ϕ)$ gravity. We scan the parameter space for the inflationary predictions ($n_s$ and $r$) consistent with the Planck and BICEP/Keck 2018 results as well as the sensitivity forecast of the future CMB-S4 and depict the compliant regions in the $ϕ_0-β$ plane where $ϕ_0$ and $β$ are two parameters of polynomial inflation model which control the saddle point of the potential and the flatness in the vicinity of this point respectively. We find that a substantial portion of the parameter space aligns with the observational data. |
| title | Large Field Polynomial Inflation in Palatini $f(R,ϕ)$ Gravity |
| topic | Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2411.07995 |