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We measure and analyse the bispectrum of the final, Data Release 12, galaxysample provided by the Baryon Oscillation Spectroscopic Survey, splitting byselection algorithm into LOWZ and CMASS galaxies. The LOWZ sample contains361\,762 galaxies with an effective redshift of $z_{\rm LOWZ}=0.32$, and theCMASS sample 777\,202 galaxies with an effective redshift of $z_{\rmCMASS}=0.57$. Combining the power spectrum, measured relative to theline-of-sight, with the spherically averaged bispectrum, we are able toconstrain the product of the growth of structure parameter, $f$, and theamplitude of dark matter density fluctuations, $\sigma_8$, along with thegeometric Alcock-Paczynski parameters, the product of the Hubble constant andthe comoving sound horizon at the baryon drag epoch, $H(z)r_s(z_d)$, and theangular distance parameter divided by the sound horizon, $D_A(z)/r_s(z_d)$.After combining pre-reconstruction RSD analyses of the power spectrum monopole,quadrupole and bispectrum monopole; with post-reconstruction analysis of theBAO power spectrum monopole and quadrupole, we find $f(z_{\rmLOWZ})\sigma_8(z_{\rm LOWZ})=0.427\pm 0.056$, $D_A(z_{\rm LOWZ})/r_s(z_d)=6.60\pm 0.13$, $H(z_{\rm LOWZ})r_s(z_d)=(11.55\pm 0.38)10^3\,{\rm kms}^{-1}$ forthe LOWZ sample, and $f(z_{\rm CMASS})\sigma_8(z_{\rm CMASS})=0.426\pm 0.029$,$D_A(z_{\rm CMASS})/r_s(z_d)=9.39 \pm 0.10$, $H(z_{\rmCMASS})r_s(z_d)=(14.02\pm 0.22)10^3\,{\rm kms}^{-1}$ for the CMASS sample. Wefind general agreement with previous BOSS DR11 and DR12 measurements. Combiningour dataset with {\it Planck15} we perform a null test of General Relativity(GR) through the $\gamma$-parametrisation finding$\gamma=0.733^{+0.068}_{-0.069}$, which is $\sim2.7\sigma$ away from the GRpredictions.

monthly notices of the royal astronomical society

The clustering of galaxies in the SDSS-III Baryon Oscillation  Spectroscopic Survey: RSD measurement from the power spectrum and bispectrum  of the DR12 BOSS galaxies