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We present limits on the parameters of the o$\Lambda$CDM, $w_0$CDM, and $w_0w_a$CDM models obtained from the joint analysis of the full-shape, baryonacoustic oscillations (BAO), big bang nucleosynthesis (BBN) and supernovaedata. Our limits are fully independent of the data on the cosmic microwavebackground (CMB) anisotropies, but rival the CMB constraints in terms ofparameter error bars. We find the spatial curvature consistent with a flatuniverse $\Omega_k=-0.043_{-0.036}^{+0.036}$ ($68\%$ C.L.); the dark-energyequation of state parameter $w_0$ is measured to be$w_0=-1.031_{-0.048}^{+0.052}$ ($68\%$ C.L.), consistent with a cosmologicalconstant. This conclusion also holds for the time-varying dark energy equationof state, for which we find $w_0=-0.98_{-0.11}^{+0.099}$ and$w_a=-0.33_{-0.48}^{+0.63}$ (both at $68\%$ C.L.). The exclusion of thesupernovae data from the analysis does not significantly weaken our bounds.This shows that using a single external BBN prior, the full-shape and BAO datacan provide strong CMB-independent constraints on the non-minimal cosmologicalmodels.

Constraints on the curvature of the Universe and dynamical dark energy from the Full-shape and BAO data