Model-Independent Searches for New Physics in Multi-Body Invariant Masses

Model-independent searches for physics beyond the Standard Model typically focus on invariant masses of two objects (jets, leptons or photons). In this study we explore opportunities for similar model-agnostic searches using multi-body invariant masses. In particular, we will discuss physics cases when new physics can be observed in a model-independent way in three- and four-body invariant masses of jets and leptons while two-body invariant masses, that have been extensively explored at collider experiments in the past, cannot provide sufficient signatures for experimental observations. A number of models beyond the Standard Models leading to signals in multi-body invariant masses are discussed.