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Explore a specialized lecture on advanced cosmological analysis techniques that addresses critical methodological challenges in measuring dark energy using large-scale structure data. Learn about the Effective Field Theory of Large-Scale Structure (EFTofLSS) and its successful applications to Stage III and Stage IV spectroscopic galaxy surveys for obtaining tight cosmological constraints. Discover the significant problem of prior-volume effects that arise when applying EFTofLSS to beyond-ΛCDM cosmologies due to strong degeneracies between nuisance parameters and extended cosmological parameters. Master a simple yet effective solution through re-parameterization of EFTofLSS nuisance parameters that incorporates contributions from parameters affecting the amplitude of EFTofLSS modeling components. Understand how this intuitive approach successfully recovers posterior maxima within marginalised credible intervals, eliminating the substantial shifts observed in standard analyses. Examine the method's robustness through demonstrations using w0waCDM with synthetic data and practical applications to BOSS DR12 galaxy measurements combined with BAO and DES Y3 3x2-point function data. Gain insights into obtaining purely LSS-derived constraints on w0 and wa parameters for dark energy characterization.
