Abstract Accurate measurements of fundamental cosmological parameters, especially the Hubble constant (H₀ H 0) and present-day matter density (₌ ₀ Ω m 0), are crucial for constraining dark energy (DE) evolution. We analyze the sensitivities of cosmological observables (H (z), DL (z) D L (z), E ₆ E G) to ₌ ₀ Ω m 0, ₀ ω 0, and ₀ ω a under different parametrizations. Our results show observables are far more sensitive to ₌ ₀ Ω m 0 than to DE equation of state parameters (e. g. , at z 0. 5 z ∼ 0. 5, H (z) ’s ₌ ₀ Ω m 0 sensitivity is 0. 7 ∼ 0. 7 vs. ₀ ω a ’s 0. 04 ∼ 0. 04). This hierarchy mandates high-precision ₌ ₀ Ω m 0 measurements to accurately constrain time-varying DE. We also find DE parameter sensitivity highly depends on parametrization; the standard CPL form shows low sensitivity to ₀
Seokcheon Lee (Sun,) studied this question.