Shifted $\mu$-hybrid inflation, gravitino dark matter, and observable gravity waves

George Lazarides; Mansoor Ur Rehman; Qaisar Shafi; Fariha K. Vardag

doi:10.1103/physrevd.103.035033

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arXiv · 2007.01474

Shifted $\mu$-hybrid inflation, gravitino dark matter, and observable gravity waves

George Lazarides·Mansoor Ur Rehman·Qaisar Shafi·Fariha K. Vardag

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Abstract

We investigate supersymmetric hybrid inflation in a realistic model based on the gauge symmetry $SU(4)_c \times SU(2)_L \times SU(2)_R$. The minimal supersymmetric standard model (MSSM) $\mu$ term arises, following Dvali, Lazarides, and Shafi, from the coupling of the MSSM electroweak doublets to a gauge singlet superfield which plays an essential role in inflation. The primordial monopoles are inflated away by arranging that the $SU(4)_c \times SU(2)_L \times SU(2)_R$ symmetry is broken along the inflationary trajectory. The interplay between the (above) $\mu$ coupling, the gravitino mass, and the reheating following inflation is discussed in detail. We explore regions of the parameter space that yield gravitino dark matter and observable gravity waves with the tensor-to-scalar ratio $r \sim 10^{-4}-10^{-3}$.

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George Lazarides, Mansoor Ur Rehman, Qaisar Shafi, Fariha K. Vardag. 2020-07-03. Shifted $\mu$-hybrid inflation, gravitino dark matter, and observable gravity waves. https://doi.org/10.1103/physrevd.103.035033

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