Constraining scalar-Gauss-Bonnet Inflation by Reheating, Unitarity and PLANCK

Abstract

We revisit the inflationary dynamics in detail for theories with Gauss-Bonnet gravity coupled to scalar functions, in light of the Planck data. Considering the chaotic inflationary scenario, we constrain the parameters of two models involving inflaton-Gauss-Bonnet coupling by current Planck data. For non zero inflaton-Gauss-Bonnet coupling $\beta$, an inflationary analysis provides us a big cosmologically viable region in the space of $(m,\beta )$, where $m$ is the mass of inflaton. However, we study further on constraining $\beta$ arising from reheating considerations and unitarity of tree-level amplitude involving we have studied the constraints on $\beta$ arising from reheating considerations and unitarity of tree level amplitude involving $2$ graviton $\to 2$ graviton ($hh\to hh$) scattering. Our analysis, particularly on reheating significantly reduces the parameter space of $(m,\beta )$ for all models. he quadratic Gauss-Bonnet coupling parameter turns out to be more strongly constrained than that of the linear coupling. For the linear Gauss-Bonnet coupling function, we obtain $\beta \lesssim 10^3$, with the condition $\beta (m/M_P{)}^2\simeq 10^{-4}$. However, study of the Higgs inflation scenario in the presence of Gauss-Bonnet term turned out to be strongly disfavored.

22 pages, 12 Pdf figures; Modified version including updated analyses compatible with the latest observational data. Almost matches with the published version

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• Constraints on the Reheating Parameters after Gauss-Bonnet Inflation from the Primordial Gravitational Waves
• Effective Theory of Inflationary Magnetogenesis and Constraints on Reheating
• Minimal plateau inflationary cosmologies and constraints from reheating
• Gravitational Waves from Preheating in Gauss-Bonnet Inflation
• Revisiting slow-roll dynamics and the tensor tilt in general single-field inflation
• Studying G-axion Inflation model in light of PLANCK
• Implications of pulsar timing arrays for Gauss-Bonnet Inflation
• (Lovelock)${}^2$ inflation: explaining the ACT data and equivalence to Higgs-Gauss-Bonnet inflation
• Beyond $f(\varphi )\mathcal{G}$: Gauss--Bonnet inflation with $\mu (\varphi ,X)$