# Fractal based observables to probe jet substructure of quarks and gluons

## TL;DR

This paper introduces Extended Fractal Observables (EFOs), new infrared safe measures based on fractal properties of jets, which improve quark-gluon discrimination by capturing scale-dependent hadron distribution features.

## Contribution

The paper proposes a novel set of fractal-based jet observables (EFOs) that enhance quark-gluon discrimination and are weakly correlated with existing variables.

## Key findings

- EFOs are individually effective in discrimination.
- Inclusion of EFOs improves discrimination performance.
- EFOs are weakly correlated with existing variables.

## Abstract

New jet observables are defined which characterize both fractal and scale-dependent contributions to the distribution of hadrons in a jet. These infrared safe observables, named Extended Fractal Observables (EFOs), have been applied to quark-gluon discrimination to demonstrate their potential utility. The EFOs are found to be individually discriminating and only weakly correlated to variables used in existing discriminators. Consequently, their inclusion improves discriminator performance, as here demonstrated with particle level simulation from the parton shower.