New Inflation in Supersymmetric SU(5) and Flipped SU(5) GUT Models

Abstract

We study the feasibility of realizing supersymmetric new inflation model, introduced by Senoguz and Shafi in [1], for $SU(5)$ and flipped $SU(5)$ models of grand unified theories (GUTs). This realization requires an additional $U(1{)}_R\times Z_n$ symmetry for its successful implementation. The standard model (SM) gauge singlet scalar components of $24_H$ and $10_H$ GUT Higgs superfields are respectively employed to realize successful inflation in $SU(5)$ and flipped $SU(5)$ models. The predictions of the various inflationary observables lie within the recent Planck bounds on the scalar spectral index, $n_s$, for $n\ge 5$ in $SU(5)$ model and for $n\ge 6$ in flipped $SU(5)$ model. In particular, the tensor to scalar ratio $r$ and the running of spectral index $d{n}_s/d\ln k$ are negligibly small and lie in the range, $10^{-12}\lesssim r\lesssim 10^{-8}$ and $10^{-9}\lesssim d{n}_s/d\ln k\lesssim 10^{-3}$, for realistic values of $n$. In numerical estimation of the various predictions, we fix the gauge symmetry breaking scale, $M$, around $2\times 10^{16}$ GeV. The issue of gauge coupling unification in $R$-symmetric $SU(5)$ is evaded by adding vectorlike families with mass splitting within their multiplets. The dilution of monopoles beyond the observable limit is naturally achieved in the breaking of $SU(5)$ gauge symmetry during inflation. A realistic scenario of reheating with non-thermal leptogenesis is employed for both models. The predicted range of reheat temperature within Planck bounds, $3\times 10^7\text{ GeV }\lesssim T_r\lesssim 2\times 10^9$ GeV, is safe from the gravitino problem for the gravitino mass, $m_{3/2}\gtrsim 10$ TeV. Finally, the $U(1{)}_R\times Z_n$ symmetry is also observed to play a crucial role in suppressing the various fast proton decay operators.

arXiv comment24 pages and 8 figures; published revision

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• Observable Proton Decay in Flipped SU(5)
• Realistic Inflation in No-Scale $U(1{)}_R$ Symmetric Flipped $SU(5)$
• $\mu$-Hybrid Inflation and Metastable Cosmic Strings in $\mathbf{SU}(3{)}_{\mathbf{c}}\times \mathbf{SU}(2{)}_{\mathbf{L}}\times \mathbf{SU}(2{)}_{\mathbf{R}}\times \mathbf{U}(1{)}_{\mathbf{B}-\mathbf{L}}$
• Exploring primordial black holes and gravitational waves with R-symmetric GUT Higgs inflation
• GEO-FPT: a model of the galaxy bispectrum at mildly non-linear scales
• New Inflation in Waterfall Region
• Smooth $\mu$-Hybrid and Non-Minimal Higgs Inflation in $SU(4{)}_C\times SU(2{)}_L\times SU(2{)}_R$ With Observable Gravitational Waves
• Inflation, Proton Decay and Gravitational Waves from Metastable Strings in $SU(4{)}_C\times SU(2{)}_L\times U(1{)}_R$ Model