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We present the evolution of dark matter halos in six large cosmologicalN-body simulations, called the $\nu^2$GC (New Numerical Galaxy Catalog)simulations on the basis of the LCDM cosmology consistent with observationalresults obtained by the Planck satellite. The largest simulation consists of$8192^3$ (550 billion) dark matter particles in a box of $1.12 \, h^{-1} \rmGpc$ (a mass resolution of $2.20 \times 10^{8} \, h^{-1} M_{\odot}$). Amongsimulations utilizing boxes larger than $1 \, h^{-1} \rm Gpc$, our simulationyields the highest resolution simulation that has ever been achieved. A$\nu^2$GC simulation with the smallest box consists of eight billions particlesin a box of $70 \, h^{-1} \rm Mpc$ (a mass resolution of $3.44 \times 10^{6} \,h^{-1} M_{\odot}$). These simulations can follow the evolution of halos overmasses of eight orders of magnitude, from small dwarf galaxies to massiveclusters. Using the unprecedentedly high resolution and powerful statistics ofthe $\nu^2$GC simulations, we provide statistical results of the halo massfunction, mass accretion rate, formation redshift, and merger statistics, andpresent accurate fitting functions for the Planck cosmology. By combining the$\nu^2$GC simulations with our new semi-analytic galaxy formation model, we areable to prepare mock catalogs of galaxies and active galactic nuclei, whichwill be made publicly available in the near future.

The $\nu^2$GC Simulations : Quantifying the Dark Side of the Universe in the Planck Cosmology