Observational constraints on scale-dependent cosmology

This paper examines a cosmological model of scale-dependent gravity. The gravitational action is taken to be the Einstein–Hilbert term supplemented with a cosmological constant, where the couplings, G_k and Λ_k, run with the energy scale k. Also, notice that, by construction, our formalism recovers general relativity when in the limit of constant Newton's coupling. Two sub-models based on the scale-dependent cosmological model are confronted with recent observational data from: (i) the Hubble parameter H(z), (ii) distance modulus μ(z), and (iii) baryon acoustic scale evolution as functions of redshift (BAO). The viability of the model is discussed, obtaining the best-fit parameters and the maximum likelihood contours for these observables. Finally, a joint analysis is performed for H(z)+μ(z)＋BAO.