The power spectrum and bispectrum of SDSS DR11 BOSS galaxies I: bias and gravity

Abstract

We analyse the anisotropic clustering of the Baryon Oscillation Spectroscopic Survey (BOSS) CMASS Data Release 11 sample, which consists of $690827$ galaxies in the redshift range $0.43<z<0.70$ and has a sky coverage of $8498$ deg${}^2$ corresponding to an effective volume of $\sim 6{\mathrm{Gpc}}^3$. We fit the Fourier space statistics, the power spectrum and bispectrum monopoles to measure the linear and quadratic bias parameters, $b_1$ and $b_2$, for a non-linear non-local bias model, the growth of structure parameter $f$ and the amplitude of dark matter density fluctuations parametrised by ${\sigma }_8$. We obtain $b_1(z_{\mathrm{eff}}{)}^{1.40}{\sigma }_8(z_{\mathrm{eff}})=1.672\pm 0.060$ and $b_2^{0.30}(z_{\mathrm{eff}}){\sigma }_8(z_{\mathrm{eff}})=0.579\pm 0.082$ at the effective redshift of the survey, $z_{\mathrm{eff}}=0.57$. The main cosmological result is the constraint on the combination $f^{0.43}(z_{\mathrm{eff}}){\sigma }_8(z_{\mathrm{eff}})=0.582\pm 0.084$, which is complementary to $f{\sigma }_8$ constraints obtained from 2-point redshift space distortion analyses. A less conservative analysis yields $f^{0.43}(z_{\mathrm{eff}}){\sigma }_8(z_{\mathrm{eff}})=0.584\pm 0.051$. We ensure that our result is robust by performing detailed systematic tests using a large suite of survey galaxy mock catalogs and N-body simulations. The constraints on $f^{0.43}{\sigma }_8$ are useful for setting additional constrains on neutrino mass, gravity, curvature as well as the number of neutrino species from galaxy surveys analyses (as presented in a companion paper).

45 pages, 22 figures, Accepted for publication in MNRAS

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