EFT interpretations in the Higgs sector at the CMS experiment

The search for new physics beyond the Standard Model continues to be a focal point in contemporary particle physics research. Despite exhaustive direct searches at the Large Hadron Collider yielding no definitive evidence of new particles, the scientific community is propelled towards indirect search methodologies. Effective Field Theories offer an intriguing approach to parameterize indirect beyond the Standard Model physics, particularly when its characteristic scale exceeds the direct accessibility at the Large Hadron Collider, across a broad spectrum of models. Even if the Higgs boson retains its Standard Model-like properties, beyond the Standard Model effects may reveal themselves through higher-dimensional effective interactions among Standard Model fields, thereby providing indirect sensitivity via distortions in kinematic distributions. The Standard Model Effective Field Theory serves to extend the Standard Model Lagrangian by integrating higher-dimensional operators, thus furnishing a framework to parameterize potential new physics effects. Constraints on such effects, derived from measurements spanning various production and decay modes of the Higgs boson, alongside their combination using the data collected by the CMS experiment at a center-of-mass energy of 13 TeV, will be presented.