New smooth hybrid inflation

Abstract

We consider the extension of the supersymmetric Pati-Salam model which solves the b-quark mass problem of supersymmetric grand unified models with exact Yukawa unification and universal boundary conditions and leads to the so-called new shifted hybrid inflationary scenario. We show that this model can also lead to a new version of smooth hybrid inflation based only on renormalizable interactions provided that a particular parameter of its superpotential is somewhat small. The potential possesses valleys of minima with classical inclination, which can be used as inflationary paths. The model is consistent with the fitting of the three-year Wilkinson microwave anisotropy probe data by the standard power-law cosmological model with cold dark matter and a cosmological constant. In particular, the spectral index turns out to be adequately small so that it is compatible with the data. Moreover, the Pati-Salam gauge group is broken to the standard model gauge group during inflation and, thus, no monopoles are formed at the end of inflation. Supergravity corrections based on a non-minimal Kaehler potential with a convenient choice of a sign keep the spectral index comfortably within the allowed range without generating maxima and minima of the potential on the inflationary path. So, unnatural restrictions on the initial conditions for inflation can be avoided.

15 pages including 5 figures, uses Revtex, version to appear in PRD

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• SO(10) GUT in Four and Five Dimensions: A Review
• Semi-shifted hybrid inflation with B-L cosmic strings
• Standard-smooth hybrid inflation
• CMSSM with Yukawa Quasi-Unification Revisited
• Probing the Supersymmetry-Mass Scale With F-term Hybrid Inflation
• Inflation, Leptogenesis, and Yukawa Quasi-Unification within a Supersymmetric Left-Right Model
• Hybrid inflation followed by modular inflation
• Realistic Hybrid Inflation in 5D Orbifold SO(10) GUT
• Dark Matter and Higgs Mass in the CMSSM with Yukawa Quasi-Unification
• Implementing Hilltop F-term Hybrid Inflation in Supergravity
• Reducing the spectral index in F-term hybrid inflation
• Constrained Minimal Supersymmetric Standard Model with Generalized Yukawa Quasi-Unification
• Gravitational Waves from Double Hybrid Inflation
• F-Term Hybrid Inflation Followed by a Peccei-Quinn Phase Transition
• Non-thermal Leptogenesis in a simple 5D SO(10) GUT
• Cold Dark Matter and Higgs Mass in the Constrained Minimal Supersymmetric Standard Model with Generalized Yukawa Quasi-Unification
• Updated Constraints on Large Field Hybrid Inflation
• A simple 5D SO(10) GUT and sparticle masses
• Axion, mu Term, and Supersymmetric Hybrid Inflation
• Analytical study of classic models of Hybrid Inflation
• Phenomenology and Cosmology of Supersymmetric Grand Unified Theories