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Effective halo model: Creating a physical and accurate model of the matter power spectrum and cluster counts

Effective halo model: Creating a physical and accurate model of the matter power spectrum and cluster counts

We introduce a physically motivated model of the matter power spectrum, based on the halo model and perturbation theory. This model achieves 1% accuracy on all $k$-scales between $k=0.02h\text{ }\text{ }{\mathrm{Mpc}}^{\ensuremath{-}1}$ to $k=1h\text{ }\text{ }{\mathrm{Mpc}}^{\ensuremath{-}1}$. Our key ansatz is that the number density of halos depends on the nonlinear density …