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    ACT DR6 insights on α-attractor inflationary models and reheating

    Md Riajul Haque1,2,*, Sourav Pal2,†, and Debarun Paul2,‡

    • *Contact author: riaj1994sjtu.edu.cn
    • †Contact author: soupal1729@gmail.com
    • ‡Contact author: debarun31paul@gmail.com

    Phys. Rev. D 114, 023521 – Published 8 July, 2026

    DOI: https://doi.org/10.1103/1kj4-s4ts

    Abstract

    We investigate the observational constraints on α-attractor inflationary models and their postinflationary reheating dynamics in light of the latest cosmic microwave background (CMB) data from ACT DR6 combined with Planck18, BICEP/Keck 2018, and DESI (collectively denoted P-ACT-LB-BK18). Focusing on both E- and T-type attractor potentials, we analyze how inflationary observables, namely the scalar spectral index ns and the tensor-to-scalar ratio r, are indirectly influenced by reheating parameters such as the reheating temperature TRH, the inflaton equation of state wϕ, and consequently the inflaton’s couplings to Standard Model (SM) particles. We incorporate constraints from primordial gravitational wave (PGW) overproduction via ΔNeff bounds, which are particularly relevant for stiff postinflationary dynamics. Additionally, we include theoretical constraints from Coleman-Weinberg (CW) one-loop radiative corrections, which impose an upper bound on the couplings, as well as inflaton self-resonance, a nonperturbative effect that can occur even in the absence of inflaton-SM interactions and imposes a strong lower limit, particularly significant for 1/3≲wϕ≲0.7. Our analysis shows that E-models allow a broad range of reheating scenarios, including matter-like reheating (wϕ=0), whereas the T-model yields more restrictive results and remains viable only for wϕ>1/2 for all three nongravitational interaction channels, ϕ→f¯f, ϕ→bb, and ϕϕ→bb are considered. For stiffer equations of state, an intermediate coupling window survives, bounded from above by CW corrections or 2σ observational limits, and from below by the combined PGW and self-resonance constraints. We derive updated bounds on inflaton couplings for both decay and scattering channels and identify parameter regions consistent with successful perturbative reheating. These results establish a robust connection between inflationary dynamics, reheating physics, and particle interactions, and provide concrete targets for upcoming precision CMB observations.

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