onepower.hod.Cacciato.cal_mean_obs_c

property Cacciato.cal_mean_obs_c

Stellar to halo mass relation (observable to halo mass relation).

\(O_{\star, {\rm c}}(M) = O_0 (M/M_{1})^{\gamma_{1}} / [1 + (M/M_{1})]^{(\gamma_{1} - \gamma_{2})}\)

To get the values for the satellite call this * hod_par.norm_s

\(O_{\star, {\rm s}}(M) = 0.56 O_{\star, {\rm c}}(M)\)

Here \(M_1\) is a characteristic mass scale, and \(O_0\) is the normalization.

(observable can be galaxy luminosity or stellar mass) returns the observable given halo mass. Eqs 19 of D23: 2210.03110