What question did this study set out to answer?

To present a constrained parameterization of dark energy that links w_0 and w_a, aiming to improve analyses of cosmological data.

April 21, 2026Open Access

A Constrained Dynamical Dark Energy Parameterization with Linked w₀ and wₐ

Key Points

To present a constrained parameterization of dark energy that links w_0 and w_a, aiming to improve analyses of cosmological data.
Developed a dark energy parameterization applicable in H(z) and BAO analyses.
Linked the parameters w_0 and w_a based on a relaxation structure.
Provided comparisons to existing CPL fits with detailed expansion history.
The new model offers a reduced degree of freedom compared to CPL.
Explicit mappings to observables were demonstrated, enhancing clarity.
Example comparisons show promising fits to data, indicating potential advantages.

Abstract

This note introduces a constrained dark-energy parameterization that can be implemented directly in H (z) and BAO analyses. The model provides a reduced-degree-of-freedom alternative to CPL, with linked (w₀, wₐ) parameters arising from an underlying relaxation structure. The document includes the explicit expansion history, mapping to observables, and example comparisons to CPL fits. LaTeX source and figures are included for reproducibility.

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Authors

B. Petersen

Robert K. Johnson

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Geomechanica (Canada)

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A Constrained Dynamical Dark Energy Parameterization with Linked w₀ and wₐ

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Abstract

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