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arXiv · 1303.3602

$R$-Symmetry Breaking in Supersymmetric Hybrid Inflation

Matthew Civiletti·Mansoor Ur Rehman·Eric Sabo·Qaisar Shafi·Joshua Wickman
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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 $αS^4$, 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, $n_s \approx 0.97 \pm 0.010$, $| α|$ $\lesssim 10^{-7}$. The tensor to scalar ratio $r \lesssim 10^{-4}$, while $| \text{d} n_s / \text{d} \ln k | \sim \mathcal{O}(10^{-3})-\mathcal{O}(10^{-4})$

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Matthew Civiletti, Mansoor Ur Rehman, Eric Sabo, Qaisar Shafi, Joshua Wickman. 2013-03-14. $R$-Symmetry Breaking in Supersymmetric Hybrid Inflation. https://doi.org/10.1103/physrevd.88.103514

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