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arXiv · 2412.02544

Testing inflation on all scales: a case study with $α$-attractors

Laura Iacconi·Michael Bacchi·Luiz Filipe Guimarães·Felipe T. Falciano
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Abstract

A plethora of inflationary models can produce interesting small-scale phenomenology, such as enhanced scalar fluctuations leading to primordial black hole (PBH) production and large scalar-induced GW. Nevertheless, good models must simultaneously explain current observations on all scales. In this work, we showcase our methodology to establish the small-scale phenomenology of inflationary models on firm grounds. We consider the case of hybrid $α$-attractors, and focus on a reduced parameter space featuring the two potential parameters which roughly determine the position of the peak in the scalar power spectrum, $\mathcal{P}_ζ$, and its amplitude. We first constrain the parameter space by comparing the large-scale predictions for $\mathcal{P}_ζ$ with current CMB anisotropies measurements and upper limits on $μ$-distortions. We take into account uncertainties due to the reheating phase, and observe that the parameter-space area compatible with large-scale constraints shrinks for extended reheating stages. We then move to smaller scales, where we find that non-Gaussianity at peak scales is of the local type and has amplitude $f_\text{NL}\sim \mathcal{O}(0.1)$. This ensures that non-linear effects are subdominant, motivating us to employ the tree-level $\mathcal{P}_ζ$ to compute the abundance of PBHs and the spectrum of induced GWs for models consistent with large-scale tests. The former allows us to further constrain the parameter space, by excluding models which over-produce PBHs. We find that a subset of viable models can lead to significant production of PBHs, and a fraction of these is within reach for LISA, having a signal-to-noise ratio larger than that of astrophysical foregrounds. Our first-of-its-kind study systematically combines tests at different scales, and exploits the synergy between cosmological observations and theoretical consistency requirements.

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Laura Iacconi, Michael Bacchi, Luiz Filipe Guimarães, Felipe T. Falciano. 2025-06-07. Testing inflation on all scales: a case study with $α$-attractors. https://arxiv.org/abs/2412.02544

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