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

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Main Authors: Okada, Nobuchika, Shafi, Qaisar
Format: Preprint
Published: 2025
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author Okada, Nobuchika
Shafi, Qaisar
author_facet Okada, Nobuchika
Shafi, Qaisar
contents 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 $μ$-term hybrid inflation. The model employs a canonical Kähler potential but incorporates an additional renormalizable term in the superpotential $W$, which yields the MSSM $μ$-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.
format Preprint
id arxiv_https___arxiv_org_abs_2507_16246
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Split supersymmetry and hybrid inflation in light of Atacama Cosmology Telescope DR6 data
Okada, Nobuchika
Shafi, Qaisar
High Energy Physics - Phenomenology
Cosmology and Nongalactic Astrophysics
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 $μ$-term hybrid inflation. The model employs a canonical Kähler potential but incorporates an additional renormalizable term in the superpotential $W$, which yields the MSSM $μ$-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.
title Split supersymmetry and hybrid inflation in light of Atacama Cosmology Telescope DR6 data
topic High Energy Physics - Phenomenology
Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2507.16246