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<p>We explored a parameterized slow-roll inflationary model within the ΛCDM framework, utilizing a combination of data from Planck 2018, ACT DR6, DESI DR2, and BICEP/Keck 2018 (P-ACT-LB-BK18). Additionally, we incorporated the SH0ES prior on <i>H</i><sub>0</sub> (P-ACT-LB-BK18-<i>H</i><sub>0</sub>) to analyze the model within the early dark energy (EDE) framework. While the model with a potential <i>V</i>(<i>ϕ</i>) ∝ <i>ϕ</i><sup><i>α</i></sup> for small values of <i>α</i> still fits the data, the Starobinsky <i>R</i><sup>2</sup> inflation falls outside the 2<i>σ</i> region. On the other hand, in a self-consistent quantum theory of gravity, higher-order corrections to <i>R</i> are typically anticipated. In response, we proposed a non-perturbative exponential <i>f</i>(<i>R</i>) inflation model, wherein the subleading corrections beyond <i>R</i><sup>2</sup> including terms like <i>R</i><sup>3</sup> or <i>R</i><sup>4</sup>. Using numerical calculations and Markov chain Monte Carlo (MCMC) analysis with the P-ACT-LB-BK18 data set, we demonstrate that this model can align well with the ACT-preferred value of the scalar spectral index. Additionally, within the EDE framework, it accommodates greater deviations from the original Starobinsky <i>R</i><sup>2</sup> inflation model when incorporating the SH0ES prior on <i>H</i><sub>0</sub>.</p>

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The implications of inflation for the last ACT

  • 期刊论文

  • 发表日期：

    2026年4月29日

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  • Zhichong Qiu,
  • Yehuang Pang,
  • Qingguo Huang

摘要

We explored a parameterized slow-roll inflationary model within the ΛCDM framework, utilizing a combination of data from Planck 2018, ACT DR6, DESI DR2, and BICEP/Keck 2018 (P-ACT-LB-BK18). Additionally, we incorporated the SH0ES prior on H0 (P-ACT-LB-BK18-H0) to analyze the model within the early dark energy (EDE) framework. While the model with a potential V(ϕ) ∝ ϕα for small values of α still fits the data, the Starobinsky R2 inflation falls outside the 2σ region. On the other hand, in a self-consistent quantum theory of gravity, higher-order corrections to R are typically anticipated. In response, we proposed a non-perturbative exponential f(R) inflation model, wherein the subleading corrections beyond R2 including terms like R3 or R4. Using numerical calculations and Markov chain Monte Carlo (MCMC) analysis with the P-ACT-LB-BK18 data set, we demonstrate that this model can align well with the ACT-preferred value of the scalar spectral index. Additionally, within the EDE framework, it accommodates greater deviations from the original Starobinsky R2 inflation model when incorporating the SH0ES prior on H0.