3D galaxy clustering with future wide-field surveys: Advantages of a spherical Fourier-Bessel analysis

Understand

Upcoming spectroscopic galaxy surveys are extremely promising to help in addressing the major challenges of cosmology, in particular in understanding the nature of the dark universe.

• The strength of these surveys comes from their unprecedented depth and width.
• Optimal extraction of their three-dimensional information is of utmost importance to best constrain the properties of the dark universe.
• Although there is theoretical motivation and novel tools to explore these surveys using the 3D spherical Fourier-Bessel (SFB) power spectrum of galaxy number counts $C_\ell(k,k^\prime)$, most survey optimisations and forecasts are based on the tomographic spherical harmonics power spectrum $C^{(ij)}_\ell$.