Cosmology with massive neutrinos III: the halo mass function and an application to galaxy clusters

Understand

We use a suite of N-body simulations that incorporate massive neutrinos as an extra-set of particles to investigate their effect on the halo mass function.

• We show that for cosmologies with massive neutrinos the mass function of dark matter haloes selected using the spherical overdensity (SO) criterion is well reproduced by the fitting formula of Tinker et al.
• (2008) once the cold dark matter power spectrum is considered instead of the total matter power, as it is usually done.
• The differences between the two implementations, i.e.