# Jet mass fluctuations and fragmentation functions

## TL;DR

This paper investigates how fluctuations in jet mass influence the fragmentation process using a statistical hadronisation model, considering the jet's virtuality as the scale and analyzing its evolution with theoretical approximations.

## Contribution

It introduces a model incorporating jet mass fluctuations into the fragmentation process, using the jet's virtuality as the scale within a phi^3 theory framework.

## Key findings

- Jet mass fluctuations significantly affect fragmentation functions.
- The model predicts the scale evolution of fragmentation with leading-order splitting.
- The approach provides insights into the role of jet mass in hadronisation processes.

## Abstract

The effect of jet mass fluctuations on the fragmentation process is examined in the framework of a statistical hadronisation model. In this model, the fragmentation scale Q is taken to be the virtuality of the leading parton, and jet mass fluctuations are accounted for through this quantity. The scale evolution of the model is treated in the phi^3 theory with leading-order splitting function and one-loop coupling.