Reconstruction of real-space linear matter power spectrum from multipoles of BOSS DR12 results

TL;DR

This paper develops an analytic method to recover the real-space linear matter power spectrum from BOSS DR12 multipole data, accounting for the Fingers-of-God effect, and validates the results against theoretical predictions.

Contribution

It provides an analytic formula for the multipole ratios including FoG effects to reconstruct the linear matter power spectrum from observational data.

Findings

Recovered power spectra are consistent with theoretical linear spectra.

The method accurately accounts for Fingers-of-God effects.

Validation shows the ratios match linear theory at large scales.

Abstract

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.