Minimal Supersymmetric Hybrid Inflation, Flipped SU(5) and Proton Decay

Details Minimal Supersymmetric Hybrid Inflation, Flipped SU(5) and Proton Decay Minimal Supersymmetric Hybrid Inflation, Flipped SU(5) and Proton Decay

2009-12-24

arxiv.org/abs/0912.4737v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, 8 figures

Scientific paper

Minimal supersymmetric hybrid inflation utilizes a canonical Kahler potential and a renormalizable superpotential which is uniquely determined by imposing a U(1) R-symmetry. In computing the scalar spectral index $n_s$ we take into account modifications of the tree level potential caused by radiative and supergravity corrections, as well as contributions from the soft supersymmetry breaking terms with a negative soft mass-squared term allowed for the inflaton. All of these contributions play a role in realizing $n_s$ values in the range 0.96-0.97 preferred by WMAP. The U(1) R-symmetry plays an important role in flipped SU(5) by eliminating the troublesome dimension five proton decay. The proton decays into $e^+ \pi^0$ via dimension six operators arising from the exchange of superheavy gauge bosons with a lifetime of order $10^{34}$-$10^{36}$ years.

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