$R$-Symmetry Breaking in Supersymmetric Hybrid Inflation

Abstract

We consider a supersymmetric hybrid inflation scenario in which the U(1) $R$-symmetry is explicitly broken by Planck scale suppressed operators in the superpotential. We provide an example with minimal Kähler potential, with the $R$-symmetry breaking term relevant during inflation being $\alpha S^4$, where $S$ denotes the well-known gauge singlet inflaton superfield. The inflationary potential takes into account the radiative and supergravity corrections, as well as the soft supersymmetry breaking terms. For successful inflation, with the scalar spectral index in the currently preferred range, $n_s\approx 0.97\pm 0.010$, $|\alpha |$ $\lesssim 10^{-7}$. The tensor to scalar ratio $r\lesssim 10^{-4}$, while $|\text{d}{n}_s/\text{d}\ln k|\sim \mathcal{O}(10^{-3})-\mathcal{O}(10^{-4})$

14 pages, 15 figures, 1 table

References in corpus (5)

• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• Supersymmetric And Smooth Hybrid Inflation In The Light Of WMAP3
• Chaotic inflation, radiative corrections and precision cosmology
• Observable Gravity Waves from Supersymmetric Hybrid Inflation II
• Observable Gravity Waves From Supersymmetric Hybrid Inflation

Cited by in corpus (15)

• Update on Minimal Supersymmetric Hybrid Inflation in Light of PLANCK
• Probing Stochastic Gravitational Wave Background from $SU(5)\times U(1{)}_{\chi }$ Strings in Light of NANOGrav 15-Year Data
• Observable Proton Decay in Flipped SU(5)
• Gravity Waves and Proton Decay in Flipped SU(5) Hybrid Inflation Model
• Simplified Smooth Hybrid Inflation in Supersymmetric SU(5)
• A $U(1{)}_R$ inspired inflation model in no-scale Supergravity
• New Inflation in Supersymmetric SU(5) and Flipped SU(5) GUT Models
• Realistic Inflation in No-Scale $U(1{)}_R$ Symmetric Flipped $SU(5)$
• $\mu$-Hybrid Inflation and Metastable Cosmic Strings in $\mathbf{SU}(3{)}_{\mathbf{c}}\times \mathbf{SU}(2{)}_{\mathbf{L}}\times \mathbf{SU}(2{)}_{\mathbf{R}}\times \mathbf{U}(1{)}_{\mathbf{B}-\mathbf{L}}$
• Delaying the waterfall transition in warm hybrid inflation
• Exploring primordial black holes and gravitational waves with R-symmetric GUT Higgs inflation
• No-scale hybrid inflation with R-symmetry breaking
• Analytical study of classic models of Hybrid Inflation
• Modified hybrid inflation in no-scale SUGRA with suppressed $R$-symmetry breaking
• No-scale gauge non-singlet inflation inducing TeV scale inverse seesaw mechanism