An update of mu-term hybrid inflation shows that a tuned soft-SUSY parameter B makes the scalar spectral index match ACT DR6, with tensor-to-scalar ratio of order 10^-3 to 10^-2 and a 2 TeV wino dark matter candidate.
$\mu$-Term Hybrid Inflation and Split Supersymmetry
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abstract
We consider $\mu$-term hybrid inflation which, in its minimal format with gravity mediated supersymmetry breaking, leads to split supersymmetry. The MSSM $\mu$-term in this framework is larger than the gravitino mass $m_G$, and successful inflation requires $m_G$ (and hence also $|\mu|$) $\gtrsim 5 \times 10^7$ GeV, such that the gravitino decays before the LSP neutralino freezes out. Assuming universal scalar masses of the same order as $m_G$, this leads to split supersymmetry. The LSP wino with mass $\simeq$ 2 TeV is a plausible dark matter candidate, the gluino may be accessible at the LHC, and the MSSM parameter $\tan \beta \simeq 1.7$ in order to be compatible with the measured Higgs boson mass. The tensor-to-scalar ratio $r$, a canonical measure of gravity waves, can be as high as $0.001$.
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Split supersymmetry and hybrid inflation in light of Atacama Cosmology Telescope DR6 data
An update of mu-term hybrid inflation shows that a tuned soft-SUSY parameter B makes the scalar spectral index match ACT DR6, with tensor-to-scalar ratio of order 10^-3 to 10^-2 and a 2 TeV wino dark matter candidate.