A sound horizon independent measurement of $H_0$ from BOSS, DESI and DES Y3

Abstract

We present a sound horizon independent measurement of the Hubble parameter using a multiprobe large-scale structure analysis. Removing the dependency on the sound horizon with a rescaling procedure at the matter power spectrum level, we analyse the BOSS full-shape power spectrum and bispectrum (for the first time) using the effective field theory of large-scale structure up to one loop. We combine this analysis with the auto- and cross-angular power spectra from the DESI Legacy Imaging Survey DR9, the $3\times 2$pt analysis from DES Y3, and the CMB gravitational lensing power spectrum from Planck PR3. Our baseline analysis, that does not rely on supernovae data, yields $h=0.702_{-0.024}^{+0.022}$, ${\Omega }_m=0.310\pm 0.013$, and ${\sigma }_8=0.799\pm 0.020$, corresponding to $3-4\%$ precision measurements. When adding supernovae data from Pantheon+, we obtain a $2.6\%$ measurement of $h$, with $h=0.686\pm 0.018$. We further note that our EFTBOSS analysis indicates a slight deviation of the BAO scale parameter (at $1.8\sigma$) from its $\Lambda$CDM value, caused by the small scales of the bispectrum. We finally use the sound horizon-free EFTBOSS analysis as a diagnosis for the presence of new physics, finding that our results are consistent with the recent hints of evolving dark energy.

15 pages, 7 figures, 2 tables; PRD accepted version