  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.
