Intrinsic Geometry of Collider Observations and Forman Ricci Curvature

Abstract: We study the global and local topological properties of multi-lepton patterns reconstructed at the detectors. We investigate the sensitivity of Forman Ricci curvature distributions and persistent homology features to kinematic cuts, integrated luminosity, and scales of maximum filtration. We find that these topological properties are efficient enough in discriminating the BSM scenarios from the SM background, particularly when the BSM scenarios possess a massive invisible particle. We also find that the topological properties exhibit a scaling behaviour with integrated luminosity. This exploratory study suggests that the topological features can potentially supplement the traditional cut-and-count analyses in search of new physics.