The clustering of galaxies in the completed SDSS-III Baryon Oscillation
  Spectroscopic Survey: On the measurement of growth rate using galaxy
  correlation functions
  We present a measurement of the linear growth rate of structure, \textit{f}
from the Sloan Digital Sky Survey III (SDSS III) Baryon Oscillation
Spectroscopic Survey (BOSS) Data Release 12 (DR12) using Convolution Lagrangian
Perturbation Theory (CLPT) with Gaussian Streaming Redshift-Space Distortions
(GSRSD) to model the two point statistics of BOSS galaxies in DR12. The
BOSS-DR12 dataset includes 1,198,006 massive galaxies spread over the redshift
range $0.2 < z < 0.75$. These galaxy samples are categorized in three redshift
bins. Using CLPT-GSRSD in our analysis of the combined sample of the three
redshift bins, we report measurements of $f \sigma_8$ for the three redshift
bins. We find $f \sigma_8 = 0.430 \pm 0.054$ at $z_{\rm eff} = 0.38$, $f
\sigma_8 = 0.452 \pm 0.057$ at $z_{\rm eff} = 0.51$ and $f \sigma_8 = 0.457 \pm
0.052$ at $z_{\rm eff} = 0.61$. Our results are consistent with the predictions
of Planck $\Lambda$CDM-GR. Our constraints on the growth rates of structure in
the Universe at different redshifts serve as a useful probe, which can help
distinguish between a model of the Universe based on dark energy and models
based on modified theories of gravity. This paper is part of a set that
analyses the final galaxy clustering dataset from BOSS. The measurements and
likelihoods presented here are combined with others in Alam et al. 2016 to
produce the final cosmological constraints from BOSS.
