Special case for linear bias
rdnv opened this issue · 2 comments
When using the linear bias model for matter ccf, we can supply the real-space CCF \xi_rr from either data or theory.
If we supply it from the data, we should make it possible to rescale the radial velocity and dispersion differently:
- radial velocity rescaled by mu_integral
- dispersion rescaled independently by astar
[this has not been addressed yet]
If xi_rr is taken from data, then it should not have any rescaling applied to it, right? Since we apply the rescaling to allow for differences between the functions measured in their own correct cosmology and those measured in a cosmology that differs from the truth. But I agree that in the linear bias case the radial velocity should have the same rescaling as xi_rr, and the dispersion can be rescaled independently (either by params[astar] or by mu_integral computed from the AP parameter inputs, though in practice it will not make any difference which we use)
If we take just the monopole of xir_fid to construct a density profile via delta_fid = xir_fid/bias , we still need to apply AP stretching to obtain delta_true. I think this is equivalent to applying the stretching to v_r instead and can be done in theory_xi().
Since we're talking about going from fiducial cosmology to true cosmology, we need to use the same AP parameters as for xir (xir_fid --AP--> xir_true). However, since we're assuming that the radial velocity profile is spherically symmetric, we should use the isotropic mu_integral to do this.