Efficient Evaluation of Cosmological Angular Statistics

@article{Assassi2017EfficientEO,
  title={Efficient Evaluation of Cosmological Angular Statistics},
  author={Valentin Assassi and M. Simonovi'c and M. Zaldarriaga},
  journal={arXiv: Cosmology and Nongalactic Astrophysics},
  year={2017}
}
Angular statistics of cosmological observables are hard to compute. The main difficulty is due to the presence of highly-oscillatory Bessel functions which need to be integrated over. In this paper, we provide a simple and fast method to compute the angular power spectrum and bispectrum of any observable. The method is based on using an FFTlog algorithm to decompose the momentum-space statistics onto a basis of power-law functions. For each power law, the integrals over Bessel functions have a… Expand
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