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  • Philcox, Oliver H E; Sherwin, Blake D; Farren, Gerrit S; Baxter, Eric J

    arXiv.org, 01/2021
    Paper, Journal Article

    Two sources of geometric information are encoded in the galaxy power spectrum: the sound horizon at recombination and the horizon at matter-radiation equality. Analyzing the BOSS DR12 galaxy power spectra using perturbation theory with \(\Omega_m\) priors from Pantheon supernovae but no priors on \(\Omega_b\), we obtain constraints on \(H_0\) from the second scale, finding \(H_0 = 65.1^{+3.0}_{-5.4}\,\mathrm{km}\,\mathrm{s}^{-1}\mathrm{Mpc}^{-1}\); this differs from the best-fit of SH0ES at 95\% confidence. Similar results are obtained if \(\Omega_m\) is constrained from uncalibrated BAO: \(H_0 = 65.6^{+3.4}_{-5.5}\,\mathrm{km}\,\mathrm{s}^{-1}\mathrm{Mpc}^{-1}\). Adding the analogous lensing results from Baxter \& Sherwin 2020, the posterior shifts to \(70.6^{+3.7}_{-5.0}\,\mathrm{km}\,\mathrm{s}^{-1}\mathrm{Mpc}^{-1}\). Using mock data, Fisher analyses, and scale-cuts, we demonstrate that our constraints do not receive significant information from the sound horizon scale. Since many models resolve the \(H_0\) controversy by adding new physics to alter the sound horizon, our measurements are a consistency test for standard cosmology before recombination. A simple forecast indicates that such constraints could reach \(\sigma_{H_0} \simeq 1.6\,\mathrm{km}\,\mathrm{s}^{-1}\mathrm{Mpc}^{-1}\) in the era of Euclid.