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The Hubble Tension, The M Crisis of Late Time H(z) Deformation Models and the Reconstruction of Quintessence Lagrangians
Anastasios Theodoropoulos, Leandros Perivolaropoulos
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We present a detailed and pedagogical analysis of recent cosmological data, including CMB, BAO, SnIa and the recent local measurement of H₀. We thus obtain constraints on the parameters of standard dark energy parameterizations, including ΛCDM, and H(z) deformation models such as wCDM (constant equation of state w of dark energy), and the CPL model (corresponding to the evolving dark energy equation-of-state parameter w(z) = w₀ + wₐ z/(1+z)). The fitted parameters include the dark matter density Ω₀ₘ, the SnIa absolute magnitude M, the Hubble constant H₀ and the dark energy parameters (e.g., w for wCDM). All models considered lead to a best-fit value of M that is inconsistent with the locally determined value obtained by Cepheid calibrators (M tension). We then use the best-fit dark energy parameters to reconstruct the quintessence Lagrangian that would be able to reproduce these best-fit parameterizations. Due to the derived late phantom behavior of the best-fit dark energy equation-of-state parameter w(z), the reconstructed quintessence models have a negative kinetic term and are therefore plagued with instabilities.
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