Split supersymmetry and hybrid inflation in light of Atacama Cosmology Telescope DR6 data

TL;DR

This paper updates the split supersymmetry hybrid inflation model in light of recent ACT DR6 data, showing it aligns well with observations and supports high reheat temperatures, leptogenesis, and wino-like dark matter.

Contribution

It introduces a modified $mbda$-term hybrid inflation model incorporating an MSSM $mbda$-term, linking inflation, supersymmetry breaking, and dark matter.

Findings

Model predicts scalar spectral index consistent with ACT data.

Tensor-to-scalar ratio estimated to be less than 10^{-2} - 10^{-3}.

High reheat temperature enables leptogenesis and dark matter candidates.

Abstract

Inspired by the recent measurement of the scalar spectral index, $n_s = 0.9743 \pm 0.0034$, by the Atacama Cosmology Telescope (ACT) DR6 data, we present an update on the split supersymmetry hybrid inflation model, also known as $\mu$-term hybrid inflation. The model employs a canonical K\"{a}hler potential but incorporates an additional renormalizable term in the superpotential $W$, which yields the MSSM $\mu$-term following supersymmetry breaking. This additional term in $W$ is responsible for a high reheat temperature, $T_r \gtrsim 10^{12}$ GeV, and consequently the necessity of split supersymmetry in this class of models. The predicted scalar spectral index is in excellent agreement with the ACT measurement and $r$, the tensor to scalar ratio, is estimated to be less than or of order $10^{-2} -10^{-3}$. For the running of the scalar spectral index we find $|dn_s/d \ln k| = O(10^{-4})$. With $T_r \gtrsim 10^{12}$ GeV, leptogenesis is readily implemented in this class of models. A wino-like LSP with mass of around 2 TeV is a plausible dark matter candidate.