Abstract

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, Gk and Λk, 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.