The Most Bound Halo Particle-Galaxy Correspondence Model: Comparison
  between Models with Different Merger Timescales
  We develop a galaxy assignment scheme that populates dark matter halos with
galaxies by tracing the most bound member particles (MBPs) of simulated halos.
Several merger-timescale models based on analytic calculations and numerical
simulations are adopted as the survival time of mock satellite galaxies. We
build mock galaxy samples from halo merger data of the Horizon Run 4 $N$-body
simulation from $z = 12-0$. We compare group properties and two-point
correlation functions (2pCFs) of mock galaxies with those of volume-limited
SDSS galaxies, with $r$-band absolute magnitudes of $\mathcal{M}_r - 5 \log h <
-21$ and $-20$ at $z=0$. It is found that the MBP-galaxy correspondence scheme
reproduces the observed population of SDSS galaxies in massive galaxy groups
($M > 10^{14} h^{-1} M_{\odot}$) and the small-scale 2pCF ($r_{\rm p} < 10
h^{-1} {\rm Mpc}$) quite well for the majority of the merger timescale models
adopted. The new scheme outperforms the previous subhalo-galaxy correspondence
scheme by more than $2\sigma$.
