## Abstract

We analyse the anisotropic clustering of the Baryon Oscillation Spectroscopic Survey CMASS Data Release 11 sample, which consists of 690 827 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 ~6 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 parametrized by σ_{8}. We obtain b_{1}(z_{eff})^{1.40}σ_{8}(z_{eff}) = 1.672 ± 0.060 and b_{2}^{0.30}(z_{eff})σ_{8}z_{eff} = 0.579 ± 0.082 at the effective redshift of the survey, z_{eff} = 0.57. The main cosmological result is the constraint on the combination f^{0.43}(z_{eff})σ_{8}(z_{eff}) = 0.582 ± 0.084, which is complementary to f_{8} constraints obtained from two-point redshift-space distortion analyses. A less conservative analysis yields f^{0.43}(z_{eff})σ_{8}(z_{eff}) = 0.584 ± 0.051. We ensure that our result is robust by performing detailed systematic tests using a large suite of survey galaxy mock catalogues and N-body simulations. The constraints on f^{0.43}_{8} are useful for setting additional constraints on neutrino mass, gravity, curvature as well as the number of neutrino species from galaxy surveys analyses (as presented in a companion paper).

Original language | English |
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Pages (from-to) | 539-580 |

Number of pages | 42 |

Journal | Monthly Notices of the Royal Astronomical Society |

Volume | 451 |

Issue number | 1 |

DOIs | |

State | Published - 1 May 2015 |

## Keywords

- Cosmological parameters
- Cosmology: theory
- Galaxies: haloes
- Large-scale structure of Universe