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wavenumber k [h/Mpc]�
Issues on redshift-space distortions “nonlinearities”�
Use computer simulations ! true cosmology is known
Okumura & Jing (2011)�
Gro
wth
rat
e of
mat
ter
den
sity
flu
ctuat
ions�
Massive halos
Light halos
Deviation from the true cosmology�
Three important nonlinearities for precise theoretical model: (1) Nonlinear clustering (2) Nonlinear velocity dispersion (3) Nonlinear bias relation
between DM and galaxies
€
Pgs(k,µ) = (b + fµ2)2Pm
r (k)Linear power spectrum�
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Systematic and nonlinear effects on growth rate constraints�
wavenumber k [h/Mpc]�
Gro
wth
rat
e of
mat
ter
den
sity
flu
ctuat
ions�
Massive halos
Light halos
massive halos�
light halos�
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Redshift-space momentum correlation function�! Linear theory starts to
deviate from simulation results at very large scales.
! Nonlinear perturbation theory can predict the velocity correlation of halos as well.
! We need more effort to model the statistics for galaxies that have large nonlinear velocity dispersion.
BOSS-type mock galaxies�
halos�
linear�
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