3-dimensional spherical analyses of cosmological spectroscopic surveys

Understand

Spectroscopic redshift surveys offer great prospects for constraining the dark sector in cosmology.

• Future surveys will however be both deep and wide and will thus require an analysis in 3-dimensional spherical geometry.
• We review and compare several methods which have been proposed in the literature for this purpose, focusing in particular on implementations of the spherical harmonic tomography (SHT) power spectrum $C^{i j}_{l}$ and the spherical Fourier Bessel (SFB) power spectrum $C_{l} (k, k')$.
• Using a Fisher analysis, we compare the forecasted constraints on cosmological parameters using these statistics.