Towards a universal model for the density profiles of dark matter haloes

ABSTRACT It is well established from cosmological simulations that dark matter (DM) haloes are not precisely self-similar and an additional parameter, beyond their concentration, required to accurately describe spherically averaged mass density profiles. We present, for the first time, a model consistently predict both halo c, this ‘shape’ ?, of given redshift specified cosmology. Following recent studies, we recast dependence on mass, redshift, cosmology ‘peak height’. show that, when adopting standard definition peak height, which employs so-called spherical top hat (STH) window function, concentration–peak height relation has strong residual (i.e. it uniquely determined by height), whereas ?–peak approximately universal employing STH function. Given freedom in choice explore simple modification constraining its form so produces relations concentration ? as function using large suite simulations. found two profile parameters can indeed be derived these set linear power spectrum, P(k), filtered different scales. results work generalize any (reasonable) combination P(k) background expansion history, H($z$), resulting accurate predictions profiles DM wide range cosmologies.