Papers › The flat-sky approximation to galaxy number counts -- redshift space correlation function

The flat-sky approximation to galaxy number counts -- redshift space correlation function

3 Nov 2020arXiv:2011.01878links table onlyarchive 2025-07-28

Goran Jelic-Cizmek

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We study the flat-sky approximation for galaxy number counts including relativistic effects, and assess its performance and accuracy with respect to the full-sky result. We find an agreement of up to 5% for the local and lensing contributions to the 2-point correlation function and its multipoles at z > 0.5, and up to 1% for the multipoles alone at z > 1 and separations ≲250 Mpc/h, with a speed-up of over a factor of 1000. Using a semi-analytic method, which has been implemented in a new version of the code COFFE, along with the Limber approximation for the integrated contributions, we further increase the performance, allowing the computation of the flat-sky multipoles to be done over 10000 times faster than in the full-sky calculation, which could be used to greatly speed-up Markov chain Monte Carlo sampling for cosmological parameter estimation.

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