Future Surveys to Sharpen Cosmological Parameter Constraints with Weak Lensing

This research forecasts the ability of future surveys, such as the Simons Observatory, LSST, and Euclid, to constrain cosmological parameters using weak gravitational lensing of the Cosmic Microwave Background (CMB) and galaxies. The study focuses on the weak lensing power spectrum and bispectrum, including their cross-correlations, to extract cosmological information. The analysis considers an eight-parameter model (ΛCDM + Σmν + w0) and assesses constraints for stage 4 survey specifications. The results indicate that both the CMB and galaxy lensing bispectra are detectable at high signal-to-noise in the absence of systematics. With a weak prior, the bispectrum significantly improves parameter constraints by breaking degeneracies. The study also finds strong synergy between CMB and galaxy lensing, with the combination of both probes leading to tighter constraints, particularly on neutrino mass. The authors acknowledge the potential impact of the Born approximation on the CMB lensing bispectrum and consider post-Born corrections, finding that their main conclusions remain the same. The research highlights the potential of higher-order lensing statistics and motivates further work on neglected effects such as non-Gaussian covariance, instrumental systematics, and baryonic feedback. The success of these future surveys in achieving precise measurements of cosmological parameters will depend on the ability to mitigate systematic errors and account for various neglected effects.

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