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

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.