Non-minimally coupled Natural Inflation: Palatini and Metric formalism with the recent BICEP/Keck

Abstract

In this work, we show the effect of the non-minimal coupling $\xi {\varphi }^{2}R$ on the inflationary parameters by considering the single-field inflation and present the inflationary predictions of the appealing potential for the particle physics viewpoint: Natural Inflation, an axion-like inflaton which has a cosine-type periodic potential and the inflaton naturally emerges as a pseudo-Nambu-Goldstone boson with a spontaneously broken global symmetry. We present the inflationary predictions for this potential, $n_s$, $r$, and $\alpha =\mathrm{d}{n}_s/\mathrm{d}\ln k$. In addition, we assume standard thermal history after inflation, and using this, for considered potential, we show compatible regions for the $n_s$, $r$ within the recent BICEP/Keck results.

1+14 pages, 9 figures. Comments are welcome

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• (Multi-field) Natural Inflation and Gravitational Waves
• Inflation in Symmergent Metric-Palatini Gravity
• Natural inflation in Palatini $F(R,X)$
• Is natural inflation in agreement with CMB data?
• Post-inflationary Leptogenesis and Dark Matter production: Metric versus Palatini formalism
• Natural inflation in Palatini $F(R)$