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We present the results obtained from the full-shape cosmology analysis of theredshift-space power spectra for 4 galaxy samples of the SDSS-III BOSS DR12galaxy catalog over $0.2 < z < 0.75$. For the theoretical template, we use anemulator that was built from an ensemble set of $N$-body simulations, whichenables fast and accurate computation of the redshift-space power spectrum ofhalos. Combining with the halo occupation distribution to model the halo-galaxyconnection, we can compute the redshift-space power spectrum of BOSS-likegalaxies in the flat $\Lambda$CDM cosmology. In our cosmology inference, we usethe power spectrum monopole, quadrupole and hexadecapole and include 7 nuisanceparameters to model uncertainties in the halo-galaxy connection for each galaxysample, but do not use any information on the abundance of galaxies. Wedemonstrate a validation of our analysis pipeline using the mock catalogs ofBOSS-like galaxies, generated using different recipes of the halo-galaxyconnection and including the assembly bias effect. Assuming weak priors oncosmological parameters, except for $\Omega_{\rm b}h^2$ and $n_{\rm s}$, weshow that our model well reproduces the BOSS power spectra. Including the powerspectrum information up to $k_{\rm max}=0.25\,h{\rm Mpc}^{-1}$, we find$\Omega_\mathrm{m}=0.301^{+0.012}_{-0.011}$, $H_0=68.2 \pm1.4~\mathrm{km\,s}^{-1}\mathrm{Mpc}^{-1}$, and$\sigma_8=0.786^{+0.036}_{-0.037}$, for the mode and 68\% credible interval,after marginalization over nuisance parameters. We find little improvement inthe cosmological parameters beyond a maximum wavelength $k_{\rm max}\simeq0.2\,h\,{\rm Mpc}^{-1}$ due to the shot noise domination and marginalization ofthe halo-galaxy connection parameters. Our results are consistent with thePlanck CMB results within $1\sigma$ statistical uncertainties.

Full-shape cosmology analysis of SDSS-III BOSS galaxy power spectrum using emulator-based halo model: a $5\%$ determination of $\sigma_8$