A Supersymmetric Standard Model of Inflation with Extra Dimensions

Abstract

We embed the supersymmetric standard model of hybrid inflation based on the next-to-minimal superpotential term $\lambda N{H}_u{H}_d$ supplemented by an inflaton term $\kappa \varphi N^2$, into an extra-dimensional framework, in which all the Higgs fields and singlets live in the bulk, while all the matter fields live on the brane. All the parameters of the effective 4d model can then be naturally understood in terms of a fundamental (``string'') scale $M_{\ast }\sim 10^{13}$ GeV and a brane supersymmetry breaking scale $10^8$ GeV, of the same order as the height of the inflaton potential during inflation. In particular the very small Yukawa couplings $\lambda \sim \kappa \sim 10^{-10}$ necessary for the model to solve the strong CP problem and generate the correct effective $\mu$ term after inflation, can be naturally understood in terms of volume suppression factors. The brane scalar masses are naturally of order a TeV while the bulk inflaton mass is naturally in the MeV range sufficient to satisfy the slow roll constraints. Curvature perturbations are generated after inflation from the isocurvature perturbations of the supersymmetric Higgs as discussed in a companion paper.

Version to appear in PRD. Latex, 1+17 pages, style file included

References in corpus (5)

• The primordial density perturbation in the curvaton scenario
• Models of inflation liberated by the curvaton hypothesis
• Assisting pre-big bang phenomenology through short-lived axions
• Large Scale Structure from the Higgs fields of the Supersymmetric Standard Model
• Superhorizon curvaton amplitude in inflation and pre-big bang cosmology

Cited by in corpus (24)

• Calculable Corrections to Brane Black Hole Decay II: Greybody Factors for Spin 1/2 and 1
• The Curvaton as a Pseudo-Nambu-Goldstone Boson
• Models of inflation liberated by the curvaton hypothesis
• Curvaton Dynamics
• The CDM isocurvature perturbation in the curvaton scenario
• Can the curvaton paradigm accommodate a low inflation scale?
• The Peccei-Quinn Field as Curvaton
• Challenges and Obstacles for a Bouncing Universe in Brane Models
• Large Scale Structure from the Higgs fields of the Supersymmetric Standard Model
• Curvaton and QCD Axion in Supersymmetric Theories
• Trapped Quintessential Inflation
• Preheating curvature perturbations with a coupled curvaton
• Trapped Quintessential Inflation in the context of Flux Compactifications
• Modular inflation and the orthogonal axion as curvaton
• Hybrid Inflation without Flat Directions and without Primordial Black Holes
• Inflation at the TeV scale with a PNGB curvaton
• Curvaton scenario with low scale inflation revisited
• Inhomogeneous reheating scenario with low scale inflation and/or MSSM flat directions
• Tracking Curvaton(s)?
• Inflationary Cosmology with Five Dimensional SO(10)
• The Origin of the Large-Scale Structure in the Universe: Theoretical and Statistical Aspects
• Inflationary Solution to the Strong CP and $\mu$ Problems
• A model of cosmology and particle physics at an intermediate scale
• Inflation, Large Scale Structure and Particle Physics