class_sz

Cosmic Linear Anisotropy Solving System with Machine Learning Accelerated CMB, LSS and Halo Model Observables Computations

Note

Class_sz is compatible with Jax and now allows for automatic differentiation on some of its output. See here for an example on the matter power spectrum. The code can now be used in Hamiltonian Monte Carlo and Simulation-Based Inference pipelines.

Note

This documentation shows some of the capabilities of the code. Legacy notebooks (not maintained and which may not run smoothly) present further calculations (almost all you need for CMB/LSS) and are gradually being imported into this documentation.

Getting Started

• Installation
  • setting path for CLASS-SZ data (optional)

Advanced Installation

• Installation for developers

Input parameters

• Intialize
• Baseline parameterization
  • collect derived parameters
  • Matter and total densities
  • Accessing the list of set params
• Using different names
• Passing \(\sigma_8\) instead of \(A_s\)
• Compute with Jax

Hubble function

• Intialize
• Compute H(z)
• Convert to usual units
• Plot H(z)
• Time computations of H(z)
• Comparison without emulators
• Compute with Jax
  • Compatibility
  • Gradients

Critical Density

• Intialize
• Compute \(\rho_c(z)\)
• Conversion to standard units
• Plot \(\rho(z)\)
• Compute with Jax

Comoving distance

• Intialize
• Notations
  • Definition
  • Comvong volume
• Calculation
• Plot distance
• Time computations of \(D_A(z)\)
• Compute with Jax
  • Compatibility
  • Gradients
  • Gradient surface

CMB power spectra

• Intialize
• Compute CMB power spectra
• Plot CMB power spectra
• Time computation of CMB Cl’s

Linear matter power spectrum

• Intialize
• Compute linear matter power spectrum
  • Method 1: Interpolator
  • Method 2: On the \(k\)-grid
• Compute with Jax
  • Get pk at z and k
  • Compatibility
  • Gradients
  • Gradients at all k’s

Linearly biased tracers

• Intialize
  • Cosmological parameters
  • Calculate
  • Amon & Efsthathiou type modification
• Carmen type modification
• Intialize
  • set cosmological parameters
  • deal with dndz
  • quaia bias redshift dependence
  • compute power spectra
  • collect the output
  • plot
  • plot HOD quantities
  • Halo bias (Tinker 2010)
  • get halo mass function
  • compute formula if needed
• Quaia Six bins

Halo mass function

• Intialize
• Compute halo mass function
• Compare Tinker08 and Tinker10
• Compute with Jax
  • Gradient

CMB Lensing

• Intialize
• Linear bias calculation

CMB Lensing x Galaxy lensing

• Initializing session
• Galaxy kernels
• Compute
• Plot

Galaxy x Galaxy lensing

• Initializing session
• Galaxy kernels
• Compute
• Plot

TSZ power spectrum

• Generalized NFW pressure profile
• Arnaud et al 2010 tabulated profile
• Planck 2013 tabulated profile
• Battaglia et al 2012 pressure profile
• Trispectrum and Covariance Matrix Calculation
• Mass and redshift dependence of integrand
• With cluster counts completeness

TSZ bispectrum

• Initialization
• Compute
  • Plot

TSZ X Galaxies

• Initializing session
• Initializing HOD parameters
• Initializing pressure profile parameters
• Saving dndz files in correct format
• Halo model cross-power spectra
• Compute
  • Collect and plot

TSZ X Galaxy Lensing

• Initializing session
• Galaxy kernels
• Compute
• Plot
• Different pressure profile
• Plot

CIB auto

• Initialize
• Compute
• Plot

CIB x CMB lensing

• Initialize
• Maniyar et al Model
  • Compute
  • Plot
• McCarthy & Madavacheril Model
  • Compute
  • Plot
• Primordial non-Gaussianity

kSZ2 X Galaxies

• Initial imports
• Settings for the calculations
• Halo model
  • Calculate
  • Plot results
• Effective approach
  • Calculate
  • Plot results

kSZ2 X kappa

• Initial imports
• Settings for the calculations
• Halo model and effective approach
  • Calculate
  • Plot results

SZ cluster cosmology

• Planck cluster counts
  • Binned calculation
  • Unbinned calculation

Cross-correlations COMBO

• Initialize

Velocity dispersion

• Initialize
• Linear velocity dispersion
• Halo velocity dispersion