Reconstruction of real-space linear matter power spectrum from
  multipoles of BOSS DR12 results
  Recently, the power spectrum (PS) multipoles using the Baryon Oscillation
Spectroscopic Survey (BOSS) Data Release 12 (DR12) sample are analyzed
\cite{160703150}. The based model for the analysis is the so-called TNS
quasi-linear model and the analysis provides the multipoles up to the
hexadecapole \cite{TNS}. Thus, one might be able to recover the real-space
linear matter PS by using the combinations of multipoles to investigate the
cosmology \cite{0407214}. We provide the analytic form of the ratio of
quadrupole (hexadecapole) to monopole moments of the quasi-linear PS including
the Fingers-of-God (FoG) effect to recover the real-space PS in the linear
regime. One expects that observed values of the ratios of multipoles should be
consistent with those of the linear theory at large scales. Thus, we compare
the ratios of multipoles of the linear theory, including the FoG effect with
the measured values. From these, we recover the linear matter power spectra in
real-space. These recovered power spectra are consistent with the linear matter
power spectra.
