halomod.halo_exclusion.DblEllipsoid

class halomod.halo_exclusion.DblEllipsoid(m, density, Ifunc, bias, r, delta_halo, mean_density)

Double Ellipsoid model of halo exclusion.

Assuming a lognormal distribution of ellipticities for halos, the probability of halo pairs not excluded is:

\[P(y) = 3 y^2 - 2 y^3 ,\; y = (x-0.8)/0.29,\; x = r/(R_{\rm vir,1}+R_{\rm vir,2})\]

taken from [1].

References

1

Tinker, J. et al., ” On the Mass-to-Light Ratio of Large-Scale Structure”, https://ui.adsabs.harvard.edu/abs/2005ApJ…631…41T.

Methods

__init__(m, density, Ifunc, bias, r, …)	Initialize self.
get_models()	Get a dictionary of all implemented models for this component.
integrate()	Integrate the raw_integrand() over mass.
raw_integrand()	Return either a 2d (k,m) or 3d (r,k,m) array with the general integrand.

Attributes

density_mod	The modified density, under new limits.
mask	Unecessary for this approach.
mlim	The mass threshold for the mask.
prob	The probablity distribution used in calculating double integral.
r_halo	The virial radius of the halo