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Supersymmetric Hybrid Inflation in light of Atacama Cosmology Telescope Data Release 6, Planck 2018 and LB-BK18
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abstract
Supersymmetry-based hybrid inflation models (referred to as `spontaneously broken supersymmetry' by the Planck collaboration) are attractive for several reasons, including the appealing feature that inflation is associated with local gauge symmetry breaking in the early universe. Following the Planck collaboration's notation, the inflationary potential with sub-Planckian inflaton field values is given by: $V = \Lambda^4 [1 + \alpha_h \log(\phi / M_{Pl})] - m_{3/2} \Lambda^2 \phi + \Lambda^4 O((\phi / M_{Pl})^4)$. Here, $\Lambda = \sqrt{\kappa} M$ denotes the energy scale of inflation, $M$ is the gauge symmetry breaking scale, $\kappa$ is a dimensionless parameter that sets the inflaton mass ($\sqrt{2} \kappa M$), and $\alpha_h$ is determined from quantum corrections in terms of $\kappa$ and the underlying gauge group. A soft supersymmetry-breaking term proportional to the gravitino mass $m_{3/2}$ (~10 TeV) and linear in the inflaton field $\phi$ is also present during inflation. The final term in $V$ represents the leading-order supergravity correction. (Note that the last two terms were not taken into account in the Planck analysis.) We provide estimates for the parameters $\kappa$ (and $\alpha_h$) that yield a scalar spectral index $n_s$ in the range 0.96 to 0.98, which is fully consistent with recent P-ACT-LB measurements presented by the Atacama Cosmology Telescope, as well as earlier measurements by Planck. We recall that in the absence of the soft SUSY-breaking term proportional to $m_{3/2}$ in $V$, the spectral index $n_s = 1 - 1/N = 0.98$, where $N = 50$ denotes the number of e-foldings. The tensor-to-scalar ratio $r$ in this minimal model is tiny, but it can reach potentially observable values ($r \lesssim 0.01$) in non-minimal models.
Forward citations
Cited by 6 Pith papers
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GUT-Scale Smooth Hybrid Inflation with a Stabilized Modulus in Light of ACT and SPT Data
A smooth hybrid inflation model, augmented with a stabilized modulus, reproduces the spectral index measured by ACT and SPT while keeping Higgs v.e.v.s at the GUT scale.
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Induced-Gravity Palatini-Like Higgs Inflation in Supergravity Confronts ACT DR6
A Palatini-supergravity Higgs-inflation model with induced gravity predicts a scalar spectral index ns≈0.972-0.974, consistent with ACT DR6, and favors split supersymmetry with gravitino mass 40-60 PeV.
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Supersymmetric Hybrid Inflation with K\"{a}hler-Induced $\mathbf{R}$-Symmetry Breaking
Nonrenormalizable R-symmetry breaking in the Kahler potential can tune the spectral index of supersymmetric hybrid inflation into the ACT DR6 window while keeping tensor modes below 1e-5.
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Shifted Hybrid Realization of Non-Minimal Higgs Inflation in Light of ACT DR6 and Planck Data
A shifted-hybrid non-minimal Higgs inflation model deforms the Starobinsky attractor via a leading non-renormalizable superpotential operator to raise ns into the ACT-preferred range while keeping r ~ 10^{-3}-10^{-2}.
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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.
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Waterfall phase in supersymmetric hybrid inflation
Waterfall-phase e-foldings in R-symmetric SUSY hybrid inflation can produce a PTA-compatible scalar-induced gravitational wave background and, in SU(5), dilute monopoles to observable levels.
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