PT Journal AU Di Valentino, Eea Mena, O TI Cosmology intertwined III: f sigma(8) and S-8 SO Astroparticle Physics JI Astropart Phys. PY 2021 BP 102604 EP 6pp VL 131 DI 10.1016/j.astropartphys.2021.102604 LA English DE cosmological tensions; cosmological parameters AB The standard A Cold Dark Matter cosmological model provides a wonderful fit to current cosmological data, but a few statistically significant tensions and anomalies were found in the latest data analyses. While these anomalies could be due to the presence of systematic errors in the experiments, they could also indicate the need for new physics beyond the standard model. In this Letter of Interest we focus on the tension between Planck data and weak lensing measurements and redshift surveys, in the value of the matter energy density Omega(m), and the amplitude sigma(8) (or the growth rate f sigma(8)) of cosmic structure. We list a few promising models for solving this tension, and discuss the importance of trying to fit multiple cosmological datasets with complete physical models, rather than fitting individual datasets with a few handpicked theoretical parameters. ER