Realistic Inflation in No-Scale $U(1{)}_R$ Symmetric Flipped $SU(5)$

Abstract

We have realized non-minimal Higgs inflation and standard hybrid inflation in the supersymmetric flipped $SU(5)$ model with $U(1{)}_R$ symmetry using the no-scale form of the Kähler potential. In non-minimal Higgs inflation the waterfall Higgs field plays the role of inflaton, and in standard hybrid inflation the gauge singlet field $S$ is employed as an inflaton. The predictions of both models are in good agreement with the Planck 2018 data. For numerical calculations we have fixed the gauge symmetry breaking scale, $M$, around $2\times 10^{16}$ GeV. In both models the inflaton field values are constrained below $m_P$. The tensor to scalar ratio $r$ in non-minimal inflation is of the order of $10^{-3}$ and for standard hybrid inflation $r$ is tiny, of order $10^{-15}-10^{-4}$. The scalar spectral index in both cases lie within the Planck 1-$\sigma$ bounds, and the running of the scalar spectral index lies in the range, $-d{n}_s/d\ln k\sim 6\times 10^{-4}$ for non-minimal model and $10^{-9}-10^{-3}$ for the standard hybrid model. A realistic scenario of reheating and non-thermal leptogenesis is employed with reheat temperature $T_r\sim 10^9$ GeV for non-minimal model and $10^6-10^{10}$~GeV for standard hybrid model. The $R$-symmetry plays a vital role in forbidding rapid proton decay, but at the same time it also suppresses terms responsible for generating right handed neutrino masses. A realistic scenario of right handed neutrino masses is obtained by considering effective $R$ symmetry breaking at the nonrenormalizable level with adequate suppression of rapid proton decay.

arXiv comment26 pages, 10 figures, matches with the published version

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Cited by in corpus (7)

• Flipped SU(5): unification, proton decay, fermion masses and gravitational waves
• Probing the Supersymmetry-Mass Scale With F-term Hybrid Inflation
• $\mu$-Hybrid Inflation and Metastable Cosmic Strings in $\mathbf{SU}(3{)}_{\mathbf{c}}\times \mathbf{SU}(2{)}_{\mathbf{L}}\times \mathbf{SU}(2{)}_{\mathbf{R}}\times \mathbf{U}(1{)}_{\mathbf{B}-\mathbf{L}}$
• Observable r, Gravitino Dark Matter, and Non-thermal Leptogenesis in No-Scale Supergravity
• Observable proton decay and gauge coupling unification in the improved missing doublet SU(5) model
• Inflation, Proton Decay and Gravitational Waves from Metastable Strings in $SU(4{)}_C\times SU(2{)}_L\times U(1{)}_R$ Model
• Smooth $\mu$-Hybrid and Non-Minimal Higgs Inflation in $SU(4{)}_C\times SU(2{)}_L\times SU(2{)}_R$ With Observable Gravitational Waves