Euclid preparation: Expected constraints on initial conditions
Euclid Collaboration: F. Finelli (1, 2), Y. Akrami (3, 4), A. Andrews (1, 2), M. Ballardini (5, 6, 1), S. Casas (7), D. Karagiannis (5, 8), Z. Sakr (9, 10, 11), J. Valiviita (12, 13), G. Alestas (3), N. Bartolo (14, 15, 16), J. R. Bermejo-Climent (17, 18), S. Nesseris (3)

TL;DR
The Euclid mission will significantly improve constraints on initial conditions of the universe, including primordial fluctuations and non-Gaussianity, through combined galaxy surveys and CMB data.
Contribution
This paper provides detailed Fisher forecasts and analysis of Euclid's capability to test various models of initial conditions beyond LCDM, integrating multiple probes and current/future CMB data.
Findings
Euclid will tighten constraints on spatial curvature and primordial features.
Forecasts show Euclid's combined probes outperform current constraints.
Euclid's data will complement CMB measurements for early universe physics.
Abstract
The Euclid mission of the European Space Agency will deliver galaxy and cosmic shear surveys, which will be used to constrain initial conditions and statistics of primordial fluctuations. We present highlights for the Euclid scientific capability to test initial conditions beyond LCDM with the main probes, i.e. 3D galaxy clustering from the spectroscopic survey, the tomographic approach to 3x2pt statistics from photometric galaxy survey, and their combination. We provide Fisher forecasts from the combination of Euclid spectroscopic and photometric surveys for spatial curvature, running of the spectral index of the power spectrum of curvature perturbations, isocurvature perturbations, and primordial features. For the parameters of these models we also provide the combination of Euclid forecasts (pessimistic and optimistic) with current and future measurements of the cosmic microwave…
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