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    EFT of dark energy with cosmic chronometers: Reconstructing background EFT functions

    Fumiya Okamatsu1 and Kazufumi Takahashi1,2

    • 1Department of Physics, College of Humanities and Sciences, Nihon University, Tokyo 156-8550, Japan
    • 2Center for Gravitational Physics and Quantum Information, Yukawa Institute for Theoretical Physics, Kyoto University, 606-8502, Kyoto, Japan

    Phys. Rev. D 113, 083517 – Published 13 April, 2026

    DOI: https://doi.org/10.1103/gmd1-k3f1

    Abstract

    The effective field theory (EFT) of dark energy provides a model-independent framework for studying cosmology within scalar-tensor theories. In this work, we explore how the time evolution of the cosmological background, inferred from cosmic chronometer measurements of the Hubble parameter, can be used to reconstruct the relevant EFT functions. Our approach enables the direct determination of these EFT functions from observational data without assuming any specific cosmological model. This makes it possible to test the background evolution of a wide range of dark energy models, including the ΛCDM (cold dark matter) model. We further demonstrate how the reconstructed EFT functions can be applied to constrain concrete theories, such as the quintessence model.

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