Method

NumCosmoCorClusterCmbLensLimberoneh_term

Declaration [src] 

gdouble
nc_cor_cluster_cmb_lens_limber_oneh_term (
  NcCorClusterCmbLensLimber* cccll,
  NcClusterAbundance* cad,
  NcHICosmo* cosmo,
  NcDistance* dist,
  NcHaloDensityProfile* dp,
  gint l,
  gdouble* lnM_obs,
  gdouble* lnM_obs_params,
  gdouble* z_obs,
  gdouble* z_obs_params
)

Description [src]

This function computes the 1-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} \int dz \frac{c}{H(z)} (1+z) \chi(z)^2 \frac{\left( \chi(z_\ast) - \chi(z) \right)}{\chi(z_\ast) \chi(z)} \int d\ln M S(\ln M, z) \frac{M}{\overline{\rho}(z)} \frac{dn(M, z)}{d\ln M} \tilde{u}^\ast (k = l/\chi(z) \vert M), \end{equation} where …

Parameters

cad

Type: NcClusterAbundance

A NcClusterAbundance.

The data is owned by the caller of the method.
cosmo

Type: NcHICosmo

A NcHICosmo.

The data is owned by the caller of the method.
dist

Type: NcDistance

A NcDistance.

The data is owned by the caller of the method.
dp

Type: NcHaloDensityProfile

A NcHaloDensityProfile.

The data is owned by the caller of the method.
l

Type: gint

Spherical harmonis index.

lnM_obs

Type: An array of double

Observable-related inputs for the cluster mass/selection model (see notes in nc_cor_cluster_cmb_lens_limber_oneh_int_mass). Used to evaluate selection functions inside the mass integration.

The data is owned by the caller of the method.
lnM_obs_params

Type: An array of double

Parameters that configure the interpretation of lnM_obs (see the cluster mass model for concrete semantics and defaults).

The data is owned by the caller of the method.
z_obs

Type: An array of double

Observable-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 double

Parameters 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

$\left(C_l^{cl \psi} \right)_{1h}$ — the 1-halo contribution to the cluster — CMB lensing angular cross-spectrum. The returned value is dimensionless and corresponds to the integrand result after performing the mass and redshift integrations shown in the documentation above.