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Do we really need alternatives to the parametrization after the DESI DR2?
Phys. Rev. D 114, 103515 – Published 10 November, 2026
DOI: https://doi.org/10.1103/vrgg-2b2t
Abstract
We introduce a density-level pivot construction for the Chevallier–Polarski–Linder parametrization by defining the normalized dark energy density and the equation of state at an optimized pivot scale factor . This reparametrization leaves the underlying cosmology unchanged and allows the two models to be compared using parameters with a direct physical interpretation at the epoch where the data are most sensitive. Accordingly, following the DESI DR2 results, we compare a newly proposed parametrization, based on a second-order Taylor expansion of the normalized dark energy density, with the standard model. In particular, we constrain the original and pivoted parametrizations using the compressed cosmic microwave background, DESI DR2 baryon acoustic oscillations, cosmic chronometers, and Ia supernovae data, with the SH0ES prior imposed on . We find that applying the same density-level pivot prescription to the model substantially reduces the correlation between its dark energy parameters and provides less correlated constraints in the pivot variables. The statistical comparison shows that this model remains favored over the Taylor expansion of the dark energy density, even when both models are analyzed in the optimized parameter basis. Moreover, the pivoted Chevallier–Polarski–Linder parametrization accurately reproduces the background evolution of quintessence models, providing a reliable phenomenological approximation to the underlying dark energy dynamics, better than the model. We conclude that changing the parameter basis improves the performance of the model, which emerges as the most suitable framework to describe the dark energy sector within the class of models considered here.
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