Updated constraints from the effective field theory analysis of the BOSS power spectrum on early dark energy

Abstract

Analyses of the full shape of the Baryon Oscillation Spectroscopic Survey (BOSS) DR12 power spectrum using the one-loop prediction from the effective field theory of large-scale structures (EFTBOSS) have led to new constraints on extensions to the Λ cold dark matter model, such as early dark energy (EDE), which has been suggested as a resolution to the "Hubble tension." In this paper, we reassess the constraining power of the EFTBOSS on EDE in light of a correction to the normalization of BOSS window functions. Overall we find that constraints from EFTBOSS on EDE are weakened and represent a small change compared to constraints from Planck and the conventional baryon acoustic oscillation /f σ₈ measurements. The combination of Planck data with EFTBOSS provides a bound on the maximal fractional contribution of EDE f_EDE<0.083 at 95% C.L. (compared to <0.054 with the incorrect normalization and <0.088 without full-shape data) and the Hubble tension is reduced to 2.1 σ . However, the more extreme model favored by an analysis with just data from the Atacama Cosmology Telescope is disfavored by the EFTBOSS data. We also show that the updated Pantheon +type Ia supernova (SN1a) analysis can slightly increase the constraints on EDE. Yet, the inclusion of the SN1a magnitude calibration by SH0ES strongly increases the preference for EDE to above 5 σ , yielding f_EDE∼0.12_-0.02^+0.03 around the redshift z_c=4365_-1100⁺³⁰⁰⁰ . Our results demonstrate that EFTBOSS data (alone or combined with Planck data) do not exclude the EDE resolution of the Hubble tension.