Inflationary Constraints on Late Time Modulus Dominated Cosmology

Abstract

We consider cosmological scenarios in which density perturbations are generated by the quantum fluctuations of the inflaton field at early times; the late time dynamics involves a modulus which first dominates the energy density of the universe and then decays to reheat the visible sector. By examining the evolution of energy density of the universe from the time of horizon exit of a pivot mode to the present day, and the fact that a modulus field decays via Planck suppressed interactions, we arrive at a relation which relates the mass of the modulus, inflationary observables/parameters and broad characteristics of the post inflationary reheating phase. When viewed together with generic expectations regarding reheating and the initial field displacement of the modulus after inflation, the relation gives a bound on the minimum mass of the modulus. For a large class of models, the bounds obtained (for the central values of Planck data) can be much stronger than the 'cosmological moduli problem' bound.

arXiv comment15 pages, v2 references added, minor additions in text; v3 references added, minor additions in text

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• Cosmological Moduli and the Post-Inflationary Universe: A Critical Review
• Primordial Black Holes from String Inflation
• Constraining Warm Inflation with CMB data
• Moduli Vacuum Misalignment and Precise Predictions in String Inflation
• On Inflationary Scale, Reheating Scale and Pre-BBN Cosmology with Scalar Fields
• Higgscitement: Cosmological Dynamics of Fine Tuning
• No-Scale Inflation
• Trans-Planckian Censorship Conjecture and Non-thermal post-inflationary history
• Reheating and Dark Radiation after Fibre Inflation
• Constraining Non-thermal Dark Matter by CMB
• Constraints on Kähler moduli inflation from reheating
• Inflationary Predictions and Moduli Masses
• Inflation with a graceful exit in a random landscape
• Confronting Kähler moduli inflation with CMB data
• Fibre inflation and precision CMB data
• Post-inflationary Scalar Tensor Cosmology and Inflationary Parameters
• New ultraviolet operators in supersymmetric SO(10) GUT and consistent cosmology
• Finite temperature effects in modular cosmology
• Hidden Sectors in String Theory: Kinetic Mixings, Fifth Forces and Quintessence
• Non-thermal CMSSM with a 125 GeV Higgs
• Reheating constraints to modulus mass for single field inflationary models
• Non-thermal moduli production during preheating in $\alpha$-attractor inflation models
• Inflating Kahler Moduli and Primordial Magnetic Fields