The Hubble Tension in Light of the Full-Shape Analysis of Large-Scale Structure Data
Guido D'Amico, Leonardo Senatore, Pierre Zhang, Henry Zheng

TL;DR
This paper investigates whether early universe modifications like Early Dark Energy can resolve the Hubble tension by analyzing large-scale structure data with the Effective Field Theory approach, finding these models do not significantly reduce the discrepancy.
Contribution
The study applies the full-shape analysis of large-scale structure data to test early universe models aimed at resolving the Hubble tension, demonstrating their limited effectiveness.
Findings
Full-shape analysis breaks parameter degeneracies in early universe models.
Early Dark Energy and Rock 'n' Roll models do not significantly reduce the Hubble tension.
Data strongly constrains early universe modifications, limiting their impact.
Abstract
The disagreement between direct late-time measurements of the Hubble constant from the SH0ES collaboration, and early-universe measurements based on the CDM model from the Planck collaboration might, at least in principle, be explained by new physics in the early universe. Recently, the application of the Effective Field Theory of Large-Scale Structure to the full shape of the power spectrum of the SDSS/BOSS data has revealed a new, rather powerful, way to measure the Hubble constant and the other cosmological parameters from Large-Scale Structure surveys. In light of this, we analyze two models for early universe physics, Early Dark Energy and Rock 'n' Roll, that were designed to significantly ameliorate the Hubble tension. Upon including the information from the full shape to the Planck, BAO, and Supernovae measurements, we find that the degeneracies in the cosmological…
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