Rescuing Quadratic Inflation

Abstract

Inflationary models based on a single scalar field $\varphi$ with a quadratic potential $V=\frac{1}{2}{m}^2{\varphi }^2$ are disfavoured by the recent Planck constraints on the scalar index, $n_s$, and the tensor-to-scalar ratio for cosmological density perturbations, $r_T$. In this paper we study how such a quadratic inflationary model can be rescued by postulating additional fields with quadratic potentials, such as might occur in sneutrino models, which might serve as either curvatons or supplementary inflatons. Introducing a second scalar field reduces but does not remove the pressure on quadratic inflation, but we find a sample of three-field models that are highly compatible with the Planck data on $n_s$ and $r_T$. We exhibit a specific three-sneutrino example that is also compatible with the data on neutrino mass difference and mixing angles.

17 pages, 12 figures

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• How Many $e$-Folds Should We Expect from High-Scale Inflation?
• Comprehensive analysis of the simplest curvaton model
• Affleck-Dine Sneutrino Inflation
• Effect of reheating on predictions following multiple-field inflation
• Multi-chaotic inflation with and without spectator field
• Creating Oscillons and Oscillating Kinks in Two Scalar Field Theories
• Primordial black holes from a curvaton: the role of bimodal distributions
• Sneutrinos as two inflatons and curvaton and leptogenesis