Excursion Set Halo Mass Function and Bias in a Stochastic Barrier Model of Ellipsoidal Collapse

Understand

We use the Excursion Set formalism to compute the properties of the halo mass distribution for a stochastic barrier model which encapsulates the main features of the ellipsoidal collapse of dark matter halos.

• Non-markovian corrections due to the sharp filtering of the linear density field in real space are computed with the path-integral technique introduced by Maggiore & Riotto (2010).
• Here, we provide a detailed derivation of the results presented in Corasaniti & Achitouv (2011) and extend the mass function analysis to higher redshift.
• We also derive an analytical expression for the linear halo bias.