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

TL;DR

This paper examines inflationary models with non-minimally derivative coupling in light of ACT data, showing how these models can fit the observed scalar spectral tilt and constraining their parameters.

Contribution

It introduces constraints on non-minimally derivative coupled inflationary models using the latest ACT observations, extending previous analyses.

Findings

Certain inflationary models with non-minimal derivative coupling fit ACT data.

The scalar spectral tilt $n_s$ constrains model parameters.

Broad classes of inflationary attractors are ruled out by the data.

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.