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 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 _ { eff } ) ^ { 1.40 } \sigma _ { 8 } ( z _ { eff } ) = 1.672 \pm 0.060 and b _ { 2 } ^ { 0.30 } ( z _ { eff } ) \sigma _ { 8 } ( z _ { eff } ) = 0.579 \pm 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 } ) \sigma _ { 8 } ( z _ { 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 _ { eff } ) \sigma _ { 8 } ( z _ { 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 ) .