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

TL;DR

This paper explores the use of rank two and three momentum tensors as tools for analyzing and identifying three-jet events in high-energy physics, offering a method that does not require assigning particles to specific jets.

Contribution

It introduces the use of combined rank two and three momentum tensor invariants as a novel approach for three-jet event identification at high energies.

Findings

Tensor invariants characterize three-jet events without particle assignment.

Combined tensors provide a clear signature for three-jet events.

Method is validated using Monte Carlo generated events.

Abstract

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.