Scalaron from $R^2$-gravity as a Heavy Field

Abstract

We study a model of inflation in which a scalar field $\chi$ is non-minimally coupled to Starobinsky's $R^2$ gravity. After transforming it to the Einstein frame, a new scalar field, the scalaron $\varphi$, will appear and couple to $\chi$ with a nontrivial field metric, while $\chi$ acquires a positive mass via the non-minimal coupling. Initially inflation occurs along the $\varphi$ direction with $\chi$ trapped near its origin by this induced mass. After $\varphi$ crosses a critical value, it starts rolling down rapidly and proceeds todamped oscillations around an effective local minimum determined by the value of $\chi$, while inflation still continues, driven by the $\chi$ field at this second stage where the effect of the non-minimal coupling becomes negligible. The presence of the damped oscillations during the transition from the first to second stage of inflation causes enhancement and oscillation features in the power spectrum of the curvature perturbation. Assuming that the oscillations may be treated perturbatively, we calculate these features by using the $\delta N$ formalism, and discuss its observational implications to large scale CMB anomalies or primordial black hole formation, depending on the scale of the features.

25 pages, 6 figures, published version

References in corpus (26)

• Primordial Black Holes as Dark Matter
• Covariant Galileon
• A Joint Analysis of BICEP2/Keck Array and Planck Data
• Healthy theories beyond Horndeski
• Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
• G-inflation: inflation driven by the Galileon field
• Cosmic microwave background limits on accreting primordial black holes
• Reheating constraints to inflationary models
• Gravitational Wave signatures of inflationary models from Primordial Black Hole Dark Matter
• Reheating predictions in single field inflation
• Mass hierarchies and non-decoupling in multi-scalar field dynamics
• Double inflation as a single origin of primordial black holes for all dark matter and LIGO observations
• Heavy fields, reduced speeds of sound and decoupling during inflation
• Solving puzzles of GW150914 by primordial black holes
• Observable Spectra of Induced Gravitational Waves from Inflation
• Curvature Perturbation Spectrum in Two-field Inflation with a Turning Trajectory
• Models of the Primordial Standard Clock
• Constraint on the abundance of primordial black holes in dark matter from Planck data
• Effective field theory of weakly coupled inflationary models
• Probing reheating with primordial spectrum
• Strongly Coupled Quasi-Single Field Inflation
• Searching for Standard Clocks in the Primordial Universe
• Black hole production in tachyonic preheating
• Power Spectra beyond the Slow Roll Approximation in Theories with Non-Canonical Kinetic Terms
• Multi-field effects in a simple extension of $R^2$ inflation
• LIGO Lo(g)Normal MACHO: Primordial Black Holes survive SN lensing constraints

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