Full-shape cosmology analysis of SDSS-III BOSS galaxy power spectrum using emulator-based halo model: a $5\%$ determination of ${\sigma }_8$

Abstract

We present the results obtained from the full-shape cosmology analysis of the redshift-space power spectra for 4 galaxy samples of the SDSS-III BOSS DR12 galaxy catalog over $0.2<z<0.75$. For the theoretical template, we use an emulator that was built from an ensemble set of $N$-body simulations, which enables fast and accurate computation of the redshift-space power spectrum of halos. Combining with the halo occupation distribution to model the halo-galaxy connection, we can compute the redshift-space power spectrum of BOSS-like galaxies in the flat $\Lambda$CDM cosmology. In our cosmology inference, we use the power spectrum monopole, quadrupole and hexadecapole and include 7 nuisance parameters to model uncertainties in the halo-galaxy connection for each galaxy sample, but do not use any information on the abundance of galaxies. We demonstrate a validation of our analysis pipeline using the mock catalogs of BOSS-like galaxies, generated using different recipes of the halo-galaxy connection and including the assembly bias effect. Assuming weak priors on cosmological parameters, except for ${\Omega }_{\mathrm{b}}{h}^2$ and $n_{\mathrm{s}}$, we show that our model well reproduces the BOSS power spectra. Including the power spectrum information up to $k_{\max }=0.25h{\mathrm{Mpc}}^{-1}$, we find ${\Omega }_{\mathrm{m}}=0.301_{-0.011}^{+0.012}$, $H_0=68.2\pm 1.4{\mathrm{km}\mathrm{s}}^{-1}{\mathrm{Mpc}}^{-1}$, and ${\sigma }_8=0.786_{-0.037}^{+0.036}$, for the mode and 68\% credible interval, after marginalization over nuisance parameters. We find little improvement in the cosmological parameters beyond a maximum wavelength $k_{\max }\simeq 0.2h{\mathrm{Mpc}}^{-1}$ due to the shot noise domination and marginalization of the halo-galaxy connection parameters. Our results are consistent with the Planck CMB results within $1\sigma$ statistical uncertainties.

27 pages, 18 figures, accepted by Phys. Rev. D. The main results are replaced with the analysis of the updated measurement of BOSS DR12 power spectrum provided by Beutler & McDonald (2021, arXiv:2106.06324)

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