Cosmological gravity on all scales V: MCMC forecasts combining large scale structure and CMB lensing for binned phenomenological modified gravity

This paper presents MCMC forecasts for constraining a binned phenomenological modified gravity model using combined large-scale structure (LSS) observations and Cosmic Microwave Background (CMB) lensing. Considering future surveys like Euclid, LSST, and CMB-S4, the study shows that combining these probes significantly improves constraints on modified gravity parameters, especially on large scales. The work provides a roadmap for testing fundamental gravity with upcoming cosmological data.