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Observational constraints on inflationary models with non-minimally derivative coupling by ACT

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arxiv 2506.18456 v2 pith:63SF7RGJ submitted 2025-06-23 gr-qc astro-ph.COhep-th

classification gr-qcastro-ph.COhep-th
keywords datainflationarymodelsattractorconstraintscouplingderivativemodel
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abstract

The most recent data release from the Atacama Cosmology Telescope (ACT) reveals a larger value of the scalar spectral tilt $n_s$, ruling out a broad class of inflationary attractors. In this paper, we consider inflationary models including the power law potential, the hilltop model, the polynomial $\alpha$-attractor and exponential $\alpha-$attractor, with non-minimally derivative coupling in the high friction limit, and show how the models can fit ACT data. We also derive constraints on the model parameters using the latest ACT data.

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Cited by 14 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Harrison-Zeldovich attractor: From Planck to ACT results

    astro-ph.CO 2025-10 conditional novelty 6.0 of 10

    Nonminimal derivative coupling realizes the Harrison-Zeldovich attractor for monomial, hilltop, and α-attractor E-models, pulling them to the scale-invariant spectrum suggested by ACT data.

  2. GUT-Scale Smooth Hybrid Inflation with a Stabilized Modulus in Light of ACT and SPT Data

    hep-ph 2025-10 conditional novelty 6.0 of 10

    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.

  3. ACT Data and Positive Running of the Spectral Index for Scalar Theory and Modified Gravity

    gr-qc 2026-05 unverdicted novelty 5.0 of 10

    Positive running of the spectral index is achievable in Einstein-Gauss-Bonnet gravity with viable inflation, unlike standard scalar field and F(R) models which face challenges.

  4. Induced-Gravity Palatini-Like Higgs Inflation in Supergravity Confronts ACT DR6

    hep-ph 2026-02 conditional novelty 5.0 of 10

    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.

  5. Fibre Inflation Meets Quintessence: Implications of Perturbative Stabilisation

    hep-th 2025-11 reject novelty 5.0 of 10

    Adding a base-modulus redefinition to fibre inflation in perturbative LVS shifts (ns, r) into ACT-allowed territory and yields an axion quintessence companion.

  6. The implications of inflation for the last ACT

    astro-ph.CO 2025-10 unverdicted novelty 5.0 of 10

    A parameterized slow-roll model and a new exponential f(R) inflation model are constrained by P-ACT-LB-BK18 data, with the latter aligning to the ACT scalar spectral index preference in both standard and EDE frameworks.

  7. Constraining Quintessential Inflation with ACT: A Gauss-Bonnet Gateway

    astro-ph.CO 2026-04 conditional novelty 4.5 of 10

    Exponential and sech Gauss–Bonnet couplings restore ACT-compatible ns and r for quintessential inflation, while tanh fails for a structural sign reason; reheating remains BBN-safe.

  8. ACT-DR6 consistent inflation in generalised entropic cosmology and $f(Q)$ gravity

    gr-qc 2026-07 conditional novelty 4.0 of 10

    Reconstruction produces explicit f(Q) and generalised-entropic inflation models (and scalar-coupled versions) whose slow-roll parameters match ACT-DR6 + Planck-BAO constraints on n_s and r.

  9. Reconstructing ACT-compatible and GW170817-compatible Einstein-Gauss-Bonnet Inflation from the Observational Indices

    gr-qc 2026-05 unverdicted novelty 4.0 of 10

    Four Einstein-Gauss-Bonnet inflationary models are reconstructed from a chosen tensor-to-scalar ratio and shown to satisfy ACT and GW170817 constraints including scalar perturbation amplitude.

  10. ACT Data and Positive Running of the Spectral Index for Scalar Theory and Modified Gravity

    gr-qc 2026-05 unverdicted novelty 4.0 of 10

    Einstein-Gauss-Bonnet inflation can yield positive spectral-index running with a viable era under ACT-like hints, while scalar-field and F(R) models largely cannot.

  11. String-inspired Gauss-Bonnet Gravity Inflation and ACT

    gr-qc 2026-04 unverdicted novelty 4.0 of 10

    MCMC analysis of sixteen ghost-free f(R,G) inflation models shows all reproduce ns ≈ 0.97 at 60 e-folds with stable μ ≈ 0.1, preference set by Hubble parametrization.

  12. Constraining Quintessential Inflation with ACT: A Gauss-Bonnet Gateway

    astro-ph.CO 2026-04 unverdicted novelty 4.0 of 10

    Einstein-Gauss-Bonnet corrections with exponential or sech couplings shift quintessential inflation into the 1 sigma ACT region for r and ns, while tanh coupling remains disfavored.

  13. Induced-Gravity Palatini-Like Higgs Inflation in Supergravity Confronts ACT DR6

    hep-ph 2026-02 unverdicted novelty 4.0 of 10

    A Palatini-inspired induced-gravity inflation model in supergravity fits ACT DR6 data while embedding into a B-L extended MSSM with split SUSY and leptogenesis.

  14. (Lovelock)$^2$ inflation: explaining the ACT data and equivalence to Higgs-Gauss-Bonnet inflation

    gr-qc 2025-12 conditional novelty 4.0 of 10

    A quadratic f(L) gravity with a negative Gauss-Bonnet coupling shifts Starobinsky inflation's (n_s, r) predictions toward the ACT-preferred higher n_s, at the cost of a larger tensor-to-scalar ratio.

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