Constraints on early dark energy from CMB lensing and weak lensing tomography
Lukas Hollenstein, Domenico Sapone, Robert Crittenden, Bjoern Malte, Schaefer

TL;DR
This paper combines CMB, lensing, and weak lensing data to tightly constrain early dark energy models, demonstrating the effectiveness of multi-probe approaches in cosmology.
Contribution
It introduces a comprehensive forecast method using Fisher analysis to constrain early dark energy with combined observational data.
Findings
Constraints on early dark energy density are very tight (sigma=0.0022).
Combining multiple data sets breaks parameter degeneracies.
Early dark energy models can be effectively tested with current and upcoming surveys.
Abstract
Dark energy can be studied by its influence on the expansion of the Universe as well as on the growth history of the large-scale structure. In this paper, we follow the growth of the cosmic density field in early dark energy cosmologies by combining observations of the primary CMB temperature and polarisation power spectra at high redshift, of the CMB lensing deflection field at intermediate redshift and of weak cosmic shear at low redshifts for constraining the allowed amount of early dark energy. We present these forecasts using the Fisher-matrix formalism and consider the combination of Planck-data with the weak lensing survey of Euclid. We find that combining these data sets gives powerful constraints on early dark energy and is able to break degeneracies in the parameter set inherent to the various observational channels. The derived statistical 1-sigma-bound on the early dark…
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