Momentum tensors of second and third rank, as tools for jets' analysis

Rank two momentum tensors, free of mass singularities, are often used for identification and analysis of two and three hadronic jet events. Based on Monte-Carlo generated events, we find that for sufficiently high energies, the tensor invariants provide the characteristics of a three-jet event, without assigning the particles to the jets. Furthermore, the combined application of rank two and rank three momentum tensors, provides a signature for a 3-jet event.