Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Redshift Evolution of the Nonlinear Two-Point Correlation Function   This paper presents a detailed theoretical study of the two-point correlation
function $\xi$ for both dark matter halos and the matter density field in five
cosmological models with varying matter density $\Omega_m$ and neutrino
fraction $\Omega_\nu$. The objectives of this systematic study are to evaluate
the nonlinear gravitational effects on $\xi$, to contrast the behavior of $\xi$
for halos vs. matter, and to quantify the redshift evolution of $\xi$ and its
dependence on cosmological parameters. Overall, $\xi$ for halos exhibits
markedly slower evolution than $\xi$ for matter, and its redshift dependence is
much more intricate than the single power-law parameterization used in the
literature. Of particular interest is that the redshift evolution of the
halo-halo correlation length $r_0$ depends strongly on $\Omega_m$ and
$\Omega_\nu$, being slower in models with lower $\Omega_m$ or higher
$\Omega_\nu$. Measurements of $\xi$ to higher redshifts can therefore be a
potential discriminator of cosmological parameters. The evolution rate of $r_0$
for halos within a given model increases with time, passing the phase of fixed
comoving clustering at $z\sim 1$ to 3 toward the regime of stable clustering at
$z\sim 0$. The shape of the halo-halo $\xi$, on the other hand, is well
approximated by a power law with slope -1.8 in all models and is not a
sensitive model discriminator.

19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat