RSD measurements from BOSS galaxy power spectrum using the halo perturbation theory model

RSD measurements from BOSS galaxy power spectrum using the halo perturbation theory model by Byeonghee Yu et al. on Wednesday 30 November We present growth of structure constraints from the cosmological analysis of the power spectrum multipoles of SDSS-III BOSS DR12 galaxies. We use the galaxy power spectrum model of Hand et al. (2017), which decomposes the galaxies into halo mass bins, each of which is modeled separately using the relations between halo biases and halo mass. The model combines Eulerian perturbation theory and halo model calibrated on $N$-body simulations to model the halo clustering. In this work, we also generate the covariance matrix by combining the analytic disconnected part with the empirical connected part: we smooth the connected component by selecting a few principal components and show that it achieves good agreement with the mock covariance. We find tight constraints on $f\sigma_8$: $f\sigma_8(z_{\mathrm{eff}}=0.38)=0.489 \pm 0.036$ and $f\sigma_8(z_{\mathrm{eff}}=0.61)=0.455 \pm 0.026$ at $k_{\mathrm{max}} = 0.2\ h$Mpc$^{-1}$, in good agreement with Planck amplitude. This corresponds to $S_8 = 0.821 \pm 0.037$ or an overall amplitude error of 4%, within 0.3 sigma of Planck's $S_8 = 0.832 \pm 0.013$. We discuss the sensitivity of cosmological parameter estimation to the choice of scale cuts, covariance matrix, and the inclusion of hexadecapole $P_4(k)$. We show that with $k_{\mathrm{max}} = 0.4\ h$Mpc$^{-1}$ the constraints improve considerably to an overall 2.7% amplitude error (with $S_8 = 0.786 \pm 0.021$), but there is some evidence of model misspecification on MultiDark-PATCHY mocks. Choosing $k_{\mathrm{max}}$ consistently and reliably remains the main challenge of RSD analysis methods. arXiv: http://arxiv.org/abs/http://arxiv.org/abs/2211.16794v1