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The Extreme Tail of the Non-Gaussian Mass Function · Around

2011

The Extreme Tail of the Non-Gaussian Mass Function

Paranjape, Aseem, Gordon, Christopher, Hotchkiss, Shaun

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Number counts of massive high-redshift clusters provide a window to study primordial non-Gaussianity.

The current quality of data, however, forces the statistical analysis to probe a region of parameter space -- the extreme tail of the mass function -- which is neither accessible in any of the currently available theoretical prescriptions for calculating the mass function, nor calibrated in N-body simulations.
In this work we present a new analytical prescription for calculating a "resummed" non-Gaussian halo mass function, which is constructed to remain stable in the extreme tail.
We show that the prescription works well in the parameter regime that has been currently explored in simulations.

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