Papers › Cosmological Fisher forecasts for next-generation spectroscopic surveys

Cosmological Fisher forecasts for next-generation spectroscopic surveys

5 Jan 2023arXiv:2301.02289links table onlyarchive 2025-07-28

William d'Assignies D., Cheng Zhao, Jiaxi Yu, Jean-Paul Kneib

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Next-generation spectroscopic surveys such as the MegaMapper, MUltiplexed Survey Telescope (MUST), MaunaKea Spectroscopic Explorer (MSE), and Wide Spectroscopic Telescope (WST) are foreseen to increase the number of galaxy/quasar redshifts by an order of magnitude, with hundred millions of spectra that will be measured at z>2. We perform a Fisher matrix analysis for these surveys on the baryonic acoustic oscillation (BAO), the redshift-space distortion (RSD) measurement, the non-Gaussianity amplitude f_(NL), and the total neutrino mass M_ν. For BAO and RSD parameters, these surveys may achieve precision at sub-percent level (<0.5 per cent), representing an improvement of factor 10 w.r.t. the latest database. For NG, these surveys may reach an accuracy of σ(f_(NL))∼1. They can also put a tight constraint on M_ν with σ(M_ν) ∼0.02 eV if we do joint analysis with Planck and even 0.01 eV if combined with other data. In addition, we introduce a general survey model, to derive the cosmic volume and number density of tracers, given instrumental facilities and survey strategy. Using our Fisher formalism, we can explore (continuously) a wide range of survey observational parameters, and propose different survey strategies that optimise the cosmological constraints. Fixing the fibre number and survey duration, we show that the best strategy for f_(NL) and M_ν measurement is to observe large volumes, despite the noise increase. However, the strategy differs for the apparent magnitude limit. Finally, we prove that increasing the fibre number improves M_ν measurement but not significantly f_(NL).

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