Probing the supersymmetry-mass scale with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>F</mml:mi></mml:math>-term hybrid inflation
G. Lazarides, C. Pallis
Abstract
We consider $F$-term hybrid inflation and supersymmetry breaking in the context of a model that largely respects a global $U(1)$ $R$ symmetry. The K\"ahler potential parametrizes the K\"ahler manifold with an enhanced $U(1)\ifmmode\times\else\texttimes\fi{}(SU(1,1)/U(1))$ symmetry, where the scalar curvature of the second factor is determined by the achievement of a supersymmetry-breaking de Sitter vacuum without ugly tuning. The magnitude of the emergent soft tadpole term for the inflaton can be adjusted in the range (1.2--460) TeV---increasing with the dimensionality of the representation of the waterfall fields---so that the inflationary observables are in agreement with the observational requirements. The mass scale of the supersymmetric partners turns out to lie in the region (0.09--253) PeV which is compatible with high-scale supersymmetry and the results of LHC on the Higgs boson mass. The $\ensuremath{\mu}$ parameter can be generated by conveniently applying the Giudice-Masiero mechanism and assures the out-of-equilibrium decay of the $R$ saxion at a low reheat temperature ${T}_{\mathrm{rh}}\ensuremath{\le}163\text{ }\text{ }\mathrm{GeV}$.