Validation of Spherical Fourier-Bessel power spectrum analysis with lognormal simulations and eBOSS DR16 LRG EZmocks

Abstract

Tuning into the bass notes of the large-scale structure requires careful attention to geometrical effects arising from wide angles. The spherical Fourier-Bessel (SFB) basis provides a harmonic-space coordinate system that fully accounts for all wide-angle effects. To demonstrate the feasibility of the SFB power spectrum, in this paper we validate our SFB pipeline by applying it to lognormal, and both complete and realistic EZmock simulations that were generated for eBOSS DR16 LRG sample. We include redshift space distortions and the local average effect (aka integral constraint). The covariance matrix is obtained from 1000 EZmock simulations, and inverted using eigenvalue decomposition.