Open AccessThe real‐space power spectrum of the PSC z survey from 0.01 to 300 h Mpc −1
Author(s) -
Hamilton A. J. S.,
Tegmark Max
Publication year - 2002
Publication title -
monthly notices of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.058
H-Index - 383
eISSN - 1365-2966
pISSN - 0035-8711
DOI - 10.1046/j.1365-8711.2002.05033.x
Subject(s) - physics , astrophysics , redshift , galaxy , spectral density , inflection point , dark matter , redshift space distortions , matter power spectrum , redshift survey , cosmology , dark energy , statistics , geometry , mathematics
We report a measurement of the real‐space (not redshift‐space) power spectrum of galaxies over four and a half decades of wavenumber, 0.01 to 300 h Mpc −1 , from the IRAS Point Source Catalog Redshift Survey (PSC z ). Since estimates of power are highly correlated in the non‐linear regime, we also report results for the pre‐whitened power spectrum, which is less correlated. The inferred bias between optically selected APM and IRAS ‐selected PSC z galaxies is about 1.15 at linear scales ≲0.3 h Mpc −1 , increasing to about 1.4 at non‐linear scales ≳1 h Mpc −1 . The non‐linear power spectrum of PSC z shows a near power‐law behaviour to the smallest scales measured, with possible mild upward curvature in the broad vicinity of k ∼2 h Mpc −1 . Contrary to the prediction of unbiased dark matter models, there is no prominent inflection at the linear to non‐linear transition scale, and no turnover at the transition to the virialized regime. The non‐linear power spectrum of PSC z requires scale‐dependent bias: all Dark Matter models without scale‐dependent bias are ruled out with high confidence.