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arXiv · 1804.02493

Gravity Waves and Proton Decay in Flipped SU(5) Hybrid Inflation Model

Mansoor Ur Rehman·Qaisar Shafi·Umer Zubair
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Abstract

We revisit supersymmetric hybrid inflation in the context of flipped $SU(5)$ model. With minimal superpotential and minimal K\"ahler potential, and soft SUSY masses of order $(1 - 100)$ TeV, compatibility with the Planck data yields a symmetry breaking scale $M$ of flipped $SU(5)$ close to $(2 - 4) \times 10^{15}$ GeV. This disagrees with the lower limit $M \gtrsim 7 \times 10^{15}$ GeV set from proton decay searches by the Super-Kamiokande collaboration. We show how $M$ close to the unification scale $2\times 10^{16}$ GeV can be reconciled with SUSY hybrid inflation by employing a non-minimal K\"ahler potential. Proton decays into $e^+ \pi^0$ with an estimated lifetime of order $10^{36}$ years. The tensor to scalar ratio $r$ in this case can approach observable values $\sim 10^{-4} - 10^{-3}$.

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Mansoor Ur Rehman, Qaisar Shafi, Umer Zubair. 2018-04-07. Gravity Waves and Proton Decay in Flipped SU(5) Hybrid Inflation Model. https://doi.org/10.1103/physrevd.97.123522

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