The power spectrum and bispectrum of SDSS DR11 BOSS galaxies I: bias and
  gravity
  We analyse the anisotropic clustering of the Baryon Oscillation Spectroscopic
Survey (BOSS) 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 $8
498$ deg$^2$ corresponding to an effective volume of $\sim6\,\rm{Gpc}^3$. 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 $b_1(z_{\rm eff})^{1.40}\sigma_8(z_{\rm eff})=1.672\pm 0.060$ and
$b_2^{0.30}(z_{\rm eff})\sigma_8(z_{\rm eff})=0.579\pm0.082$ at the effective
redshift of the survey, $z_{\rm eff}=0.57$. The main cosmological result is the
constraint on the combination $f^{0.43}(z_{\rm eff})\sigma_8(z_{\rm
eff})=0.582\pm0.084$, which is complementary to $f\sigma_8$ constraints
obtained from 2-point redshift space distortion analyses. A less conservative
analysis yields $f^{0.43}(z_{\rm eff})\sigma_8(z_{\rm eff})=0.584\pm0.051$. 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).
