Halo model description of the non-linear dark matter power spectrum at $k \gg 1$ Mpc$^{-1}$

Understand

Accurate knowledge of the non-linear dark-matter power spectrum is important for understanding the large-scale structure of the Universe, the statistics of dark-matter haloes and their evolution, and cosmological gravitational lensing.

• We analytically model the dark-matter power spectrum and its cross-power spectrum with dark-matter haloes.
• Our model extends the halo-model formalism, including realistic substructure population within individual dark-matter haloes and the scatter of the concentration parameter at fixed halo mass.
• We consider three prescriptions for the mass-concentration relation and two for the substructure distribution in dark-matter haloes.