Method
NumCosmoCorClusterCmbLensLimbertwoh_term
Declaration [src]
gdouble
nc_cor_cluster_cmb_lens_limber_twoh_term (
NcCorClusterCmbLensLimber* cccll,
NcClusterAbundance* cad,
NcHICosmo* cosmo,
NcDistance* dist,
NcHaloDensityProfile* dp,
gint l,
gdouble* z_obs,
gdouble* z_obs_params
)
Description [src]
This function computes the 2-halo term of the cluster and CMB lensing potential $\psi$, using Limber approximation: \begin{equation} \left(C_l^{cl \psi} \right){1h} = -3 \frac{\Omega{m0} H_0^2}{l^2 c^2} \int dz \frac{c}{H(z)} (1+z) \chi(z)^2 \frac{\left( \chi(z_\ast) - \chi(z) \right)}{\chi(z_\ast) \chi(z)} P_{lin}(k = l/\chi, z) \int d\ln M S(\ln M, z) \frac{dn(M, z)}{d\ln M} b(M, z) \int dln M^{\prime} \frac{M^\prime}{\overline{\rho}(z)} \frac{dn(M^\prime, z)}{d\ln M} b(M^\prime, z) \tilde{u}^\ast (k = l/\chi(z) \vert M^\prime), \end{equation} where …
Parameters
cad-
Type:
NcClusterAbundanceA
NcClusterAbundance.The data is owned by the caller of the method. cosmo-
Type:
NcHICosmoA
NcHICosmo.The data is owned by the caller of the method. dist-
Type:
NcDistanceA
NcDistance.The data is owned by the caller of the method. dp-
Type:
NcHaloDensityProfileA
NcHaloDensityProfile.The data is owned by the caller of the method. l-
Type:
gintSpherical harmonis index.
z_obs-
Type: An array of
doubleObservable-related inputs for the redshift selection or binning (e.g. redshift values or bin edges).
The data is owned by the caller of the method. z_obs_params-
Type: An array of
doubleParameters that configure the redshift observable array. By convention the first two elements are used as the lower and upper integration limits [zl, zu].
The data is owned by the caller of the method.
Return value
Type: gdouble
$\left(C_l^{cl \psi} \right)_{2h}$ — the 2-halo contribution to the cluster — CMB lensing angular cross-spectrum. The returned value follows the same dimensional conventions as the 1-halo result and is computed by integrating the product of the linear power spectrum and the two mass integrals over redshift.