Statistical Analysis of Cosmologies in f (R) Theories with DESI DR2 2025 Data

Abstract: Motivated by the recent results published by the DESI DR2 Collaboration and its compelling results in obtaining statistical preference for dynamical dark energy models over the standard {\Lambda}CDM model, this study presents an MCMC fit for all currently viable f (R) models using this dataset, along with a corresponding Bayesian analysis. The findings reveal very strong evidence in favor of f (R) models compared to {\Lambda}CDM model. The analysis also includes data from cosmic chronometers and the latest Pantheon Plus + SH0ES supernova compilation.