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Pati-Salam version of subcritical hybrid inflation

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摘要

In this paper we present a model of subcritical hybrid inflation with a Pati-Salam (PS) symmetry group. Both the inflaton and waterfall fields contribute to the necessary e-foldings of inflation, while only the waterfall field spontaneously breaks PS hence monopoles produced during inflation are diluted during the inflationary epoch. The model is able to produce a tensor-to-scalar ratio, r < 0.09 consistent with the latest BICEP2/Keck and Planck data, as well as scalar density perturbations and spectral index, n(s), consistent with Planck data. For particular values of the parameters, we find r = 0.084 and n(s) = 0.0963. The energy density during inflation is directly related to the PS breaking scale, v(PS). The model also incorporates a Z(4)(R) symmetry which can resolve the mu problem and suppress dimension 5 operators for proton decay, leaving over an exact R parity. Finally the model allows for a complete three-family extension with a D-4 family symmetry which reproduces low energy precision electroweak and LHC data.

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