pyccl.halos.pk_1pt module

pyccl.halos.pk_1pt.halomod_mean_profile_1pt(cosmo, hmc, k, a, prof)[source]

Returns the mass-weighted mean halo profile.

\[I^0_1(k,a|u) = \int dM\,n(M,a)\,\langle u(k,a|M)\rangle,\]

where \(n(M,a)\) is the halo mass function, and \(\langle u(k,a|M)\rangle\) is the halo profile as a function of scale, scale factor and halo mass.

Parameters:

  • cosmo (Cosmology) – a Cosmology object.

  • hmc (HMCalculator) – a halo model calculator.

  • k (float or array) – comoving wavenumber in \({\rm Mpc}^{-1}\).

  • a (float or array) – scale factor.

  • prof (HaloProfile) – halo profile.

Returns:

integral values evaluated at each combination of k and a. The shape of the output will be (N_a, N_k) where N_k and N_a are the sizes of k and a respectively. If k or a are scalars, the corresponding dimension will be squeezed out on output.

Return type:

(float or array)

pyccl.halos.pk_1pt.halomod_bias_1pt(cosmo, hmc, k, a, prof)[source]

Returns the mass-and-bias-weighted mean halo profile.

\[I^1_1(k,a|u) = \int dM\,n(M,a)\,b(M,a)\, \langle u(k,a|M)\rangle,\]

where \(n(M,a)\) is the halo mass function, \(b(M,a)\) is the halo bias, and \(\langle u(k,a|M)\rangle\) is the halo profile as a function of scale, scale factor and halo mass.

Parameters:

  • cosmo (Cosmology) – a Cosmology object.

  • hmc (HMCalculator) – a halo model calculator.

  • k (float or array) – comoving wavenumber in \({\rm Mpc}^{-1}\).

  • a (float or array) – scale factor.

  • prof (HaloProfile) – halo profile.

Returns:

integral values evaluated at each combination of k and a. The shape of the output will be (N_a, N_k) where N_k and N_a are the sizes of k and a respectively. If k or a are scalars, the corresponding dimension will be squeezed out on output.

Return type:

(float or array)