Running scalar spectral index in warm natural inflation
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911213053542400 |
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| author | Kitabayashi, Teruyuki Shimizu, Aya |
| author_facet | Kitabayashi, Teruyuki Shimizu, Aya |
| contents | The validity of inflation models is mainly evaluated according to the consistency of the predicted scalar spectral index $n_{\mathrm{s}}$, the tensor scalar ratio $r$, and the running scalar spectral index $α_{\mathrm{s}}$ with cosmic microwave background observations. In warm inflation (WI) scenarios, one can find exact analytical solutions for $α_{\mathrm{s}}$ in principle, but long expressions may be obtained. Previous studies for WI scenarios have only shown approximate analytical solutions or numerical results for $α_{\mathrm{s}}$. In this study, we present a general analytical expression of $α_{\mathrm{s}}$ without approximation in WI. By providing an analytical expression, even if it is mathematically redundant, we believe that $α_{\mathrm{s}}$ will be studied across a broader range of WI models in the future. The obtained analytical expression of $α_{\mathrm{s}}$ is used in the study of warm natural inflation (WNI). Although $n_{\mathrm{s}}$ and $r$ have been previously investigated, $α_{\mathrm{s}}$ is omitted in previous studies on WNI. Our study of $α_{\mathrm{s}}$ completes previous phenomenological studies on WNI. In particular, the lower limit of the symmetry-breaking scale in WNI becomes more concrete in this study. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_23448 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Running scalar spectral index in warm natural inflation Kitabayashi, Teruyuki Shimizu, Aya High Energy Physics - Phenomenology Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology The validity of inflation models is mainly evaluated according to the consistency of the predicted scalar spectral index $n_{\mathrm{s}}$, the tensor scalar ratio $r$, and the running scalar spectral index $α_{\mathrm{s}}$ with cosmic microwave background observations. In warm inflation (WI) scenarios, one can find exact analytical solutions for $α_{\mathrm{s}}$ in principle, but long expressions may be obtained. Previous studies for WI scenarios have only shown approximate analytical solutions or numerical results for $α_{\mathrm{s}}$. In this study, we present a general analytical expression of $α_{\mathrm{s}}$ without approximation in WI. By providing an analytical expression, even if it is mathematically redundant, we believe that $α_{\mathrm{s}}$ will be studied across a broader range of WI models in the future. The obtained analytical expression of $α_{\mathrm{s}}$ is used in the study of warm natural inflation (WNI). Although $n_{\mathrm{s}}$ and $r$ have been previously investigated, $α_{\mathrm{s}}$ is omitted in previous studies on WNI. Our study of $α_{\mathrm{s}}$ completes previous phenomenological studies on WNI. In particular, the lower limit of the symmetry-breaking scale in WNI becomes more concrete in this study. |
| title | Running scalar spectral index in warm natural inflation |
| topic | High Energy Physics - Phenomenology Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2506.23448 |