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Analytic covariance of the galaxy power spectrum multipoles

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CovaPT

Analytic covariance of the galaxy power spectrum multipoles based on arXiv:1910.02914

Authors: Jay Wadekar and Roman Scoccimarro

with contributions from Otavio Alves.

The input data files used in the code can be downloaded from here

The modules currently uploaded are for:

  1. Covariance for a box (Covariance_BoxGeometry.ipynb)

  2. Covariance for an arbitrary survey window (Covariance_SurveyGeometry.ipynb)

  3. Calculating window kernels for Gaussian covariance (Survey_window_kernels.ipynb)

    • The corresponding formulae are in CovaPT_Formulae.pdf
  4. Calculating cartesian FFTs and window power spectra from the survey random catalog (./detail/Survey_Window_FFTs.ipynb)

For ease in viewing different modules in these notebooks, please install jupyter_contrib_nbextensions and activate collapsible headings

The following remaining modules will be uploaded soon (apologies for the delay):

  • Hexadecapole calculations in addition to Monopole+Quadrupole

  • Code for calculating the Fisher forecast in Fig.1 of arXiv:2009.00622

    • This uses the CLASS-PT code. I'll also upload a notebook showing how CovaPT can be used with CLASS-PT.

If you are interested in more details about a particular part of the calculation, please feel free to email me at: [email protected]

I would love to hear feedback about the accesibility of the code and if adding any more modules for the power spectrum covariance would be useful. I also thank Albert Chuang, Yan Lai for helpful comments related to the code.

Extra codes/files:

Covariance for matter power spectrum (Gaussian+tree-level trispectrum) instead of galaxies is in Extras/Matter_covariance.ipynb

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