Primordial Bispectrum and Trispectrum Contributions to the Non-Gaussian Excursion Set Halo Mass Function with Diffusive Drifting Barrier

TL;DR

This paper refines the calculation of the halo mass function's sensitivity to primordial non-Gaussianity by including higher-order bispectrum effects and extending to trispectrum contributions within the Excursion Set framework.

Contribution

It introduces a more precise computation of the non-Gaussian halo mass function, incorporating next-to-leading order bispectrum and trispectrum effects.

Findings

Enhanced accuracy in NG halo mass function predictions.

Good agreement with N-body simulations.

Extension to trispectrum effects.

Abstract

The high-mass end of the halo mass function is a sensitive probe of primordial non-Gaussianity (NG). In a recent study [9] we have computed the NG halo mass function in the context of the Excursion Set theory and shown that the primordial NG imprint is coupled to that induced by the non-linear collapse of dark matter halos. We also found an excellent agreement with N-body simulation results. Here, we perform a more accurate computation which accounts for the interval validity of the bispectrum expansion to next-to-leading order and extend the calculation to the case of a non-vanishing primordial trispectrum.