  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.
