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Journal Articles Phys.Rev.D Year : 2023

## Updated constraints from the effective field theory analysis of BOSS power spectrum on Early Dark Energy

Théo Simon
Pierre Zhang
• Function : Author
Vivian Poulin
• Function : Author
Tristan L. Smith
• Function : Author

#### Abstract

Analyses of the full shape of BOSS DR12 power spectrum using the one-loop prediction from the Effective Field Theory of Large-Scale Structure (EFTBOSS) have led to new constraints on extensions to the $\Lambda$CDM model, such as Early Dark Energy (EDE) which has been suggested as a resolution to the "Hubble tension". In this paper, we re-assess 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 BAO/$f\sigma_8$ measurements. The combination of Planck data with EFTBOSS provides a bound on the maximal fractional contribution of EDE $f_{\rm EDE}<0.083$ 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 $2.1\sigma$. 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 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 $5\sigma$, yielding $f_{\rm EDE}\sim 0.12^{+0.03}_{-0.02}$ around the redshift $z_c=4365^{+3000}_{-1100}$. Our results demonstrate that EFTBOSS data (alone or combined with Planck data) do not exclude the EDE resolution of the Hubble tension.

### Dates and versions

hal-03764337 , version 1 (30-08-2022)

### Identifiers

• HAL Id : hal-03764337 , version 1
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### Cite

Théo Simon, Pierre Zhang, Vivian Poulin, Tristan L. Smith. Updated constraints from the effective field theory analysis of BOSS power spectrum on Early Dark Energy. Phys.Rev.D, 2023, 107 (6), pp.063505. ⟨hal-03764337⟩

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