MathWAP

Companion repository to CosmoWAP

MathWAP contains Mathematica notebooks that analytically computes expressions the linear fourier power spectrum and bispectrum including contributions (up to second order) from wide-separation (WS) and relatativistic (GR). It also provides expressions for local, orthogonal and equalateral shapes of primoridal non-Gaussianity (PNG).

For full documnetation see Docs.

Contents

Kernels.nb

Defines redshift space kernels

Power spectrum

See The_powerspectrum.nb: Main file used in computation exports terms into .json files

Uses:

• Pk_expansions.nb: Defines the wide angle and radial evolution series expansions for the power spectrum

• Pkfuncsandrules.nb: Contains functions used in The_powerspectrum.nb (is messy and long - sorry i don't like mathematica)

Bispectrum

See The_bispectrum.nb: Main file used in computation exports terms into .json files

Uses:

• expansions.nb: Defines the wide angle and radial evolution series expansions for the bispectrum

• Bkfuncsandrules.nb: Contains functions used in The_bispectrum.nb (is messy and long - sorry i don't like mathematica)

Outputs

Outputs are stored from mathematica in .json files in mathematica_expr - also read_mathematica.ipynb can be used for converting from mathematica to python formatting.

Terms for other kernels can also be provided or computed from the The_bispectrum.nb - format can also be flexible.

Usage

Based on work in arXiv:2407.00168

Also for PNG stuff please refer too: arXiv:25xx.xxxx