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arXiv · 1710.07341

Inflation and High-Scale Supersymmetry with an EeV Gravitino

Emilian Dudas·Tony Gherghetta·Yann Mambrini·Keith A. Olive
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Abstract

We consider inflation and supersymmetry breaking in the context of a minimal model of supersymmetry in which the only "low" energy remnant of supersymmetry is the gravitino with a mass of order an EeV. In this theory, the supersymmetry breaking scale is above the inflaton mass, m ~ 3 x 10^{13} GeV, as are all sfermion and gaugino masses. In particular, for a no-scale formulation of Starobinsky-like inflation using the volume modulus T, we show that inflation can be accommodated even when the supersymmetry breaking scale is very large. Reheating is driven through a gravitational coupling to the two Higgs doublets and is enhanced by the large mu-parameter. This leads to gravitino cold dark matter where the mass is constrained to be in the range 0.1 EeV $\lesssim m_{3/2} \lesssim 1000$ EeV.

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Emilian Dudas, Tony Gherghetta, Yann Mambrini, Keith A. Olive. 2017-10-19. Inflation and High-Scale Supersymmetry with an EeV Gravitino. https://doi.org/10.1103/physrevd.96.115032

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