The non-Gaussian halo mass function with f{sub NL}, g{sub NL} and τ{sub NL}
- Institute for Advanced Study, Einstein Drive, Princeton, NJ 08540 (United States)
Primordial non-Gaussianity has emerged as one of the most promising probes of the inflationary epoch. While the cosmic microwave background and large-scale halo bias currently provide the most stringent constraints on the non-Gaussian parameter f{sub NL}, the abundance of dark matter halos is a complementary probe which may allow tests of Gaussianity which are independent of the precise form of non-Gaussian initial conditions. We study the halo mass function in N-body simulations with a range of non-Gaussian initial conditions. In addition to the usual f{sub NL} model, we consider g{sub NL}Φ{sup 3}-type non-Gaussianity and models where the 4-point amplitude τ{sub NL} is an independent parameter. We introduce a new analytic form for the halo mass function in the presence of primordial non-Gaussianity, the ''log-Edgeworth'' mass function, and find good agreement with the N-body simulations. The log-Edgeworth mass function introduces no free parameters and can be constructed from first principles for any model of primordial non-Gaussianity.
- OSTI ID:
- 22277797
- Journal Information:
- Journal of Cosmology and Astroparticle Physics, Vol. 2011, Issue 08; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1475-7516
- Country of Publication:
- United States
- Language:
- English
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