dorsal/arxiv
View SchemaOne-Loop Tensor Power Spectrum from a Non-Minimally Coupled Spectator Field during Inflation
| Authors | Zhe Li, Chen Yuan, Qing-Guo Huang |
|---|---|
| Categories | |
| ArXiv ID | 2601.08675vv1 |
| URL | https://arxiv.org/abs/2601.08675 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
We compute the full one-loop corrections to the primordial tensor power spectrum in an inflationary scenario with a non-minimally coupled spectator field, using the in-in formalism. We derive semi-analytic results for the scalar-sourced one-loop tensor spectrum and the effective tensor-to-scalar ratio, $r_{\mathrm{eff}}$ . We consider two representative coupling functions: a localized Gaussian dip (Model G), which leads to moderate loop corrections, and a rapidly oscillatory coupling (Model O), which can yield much larger loop contributions. For Model G, we find a $\mathcal{O}(1)$ correction to $r_{\mathrm{eff}}$ while Model O can significantly enhance $r_{\mathrm{eff}}$ by several orders of magnitude (relative to the tree-level value). We further calculate the energy density of primordial gravitational waves. Assuming that primordial black holes with mass $10^{-12}M_{\odot}$ generated in this scenario, constitute all of the dark matter, we find that the results are several orders of magnitude lower than the sensitivities of Taiji/TianQin/LISA.
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"abstract": "We compute the full one-loop corrections to the primordial tensor power spectrum in an inflationary scenario with a non-minimally coupled spectator field, using the in-in formalism. We derive semi-analytic results for the scalar-sourced one-loop tensor spectrum and the effective tensor-to-scalar ratio, $r_{\\mathrm{eff}}$ . We consider two representative coupling functions: a localized Gaussian dip (Model G), which leads to moderate loop corrections, and a rapidly oscillatory coupling (Model O), which can yield much larger loop contributions. For Model G, we find a $\\mathcal{O}(1)$ correction to $r_{\\mathrm{eff}}$ while Model O can significantly enhance $r_{\\mathrm{eff}}$ by several orders of magnitude (relative to the tree-level value). We further calculate the energy density of primordial gravitational waves. Assuming that primordial black holes with mass $10^{-12}M_{\\odot}$ generated in this scenario, constitute all of the dark matter, we find that the results are several orders of magnitude lower than the sensitivities of Taiji/TianQin/LISA.",
"arxiv_id": "2601.08675",
"authors": [
"Zhe Li",
"Chen Yuan",
"Qing-Guo Huang"
],
"categories": [
"astro-ph.CO",
"gr-qc",
"hep-th"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "One-Loop Tensor Power Spectrum from a Non-Minimally Coupled Spectator Field during Inflation",
"url": "https://arxiv.org/abs/2601.08675",
"version": "v1"
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