# Non-collinearity in di-jet fragmentation in electron-positron scattering

## TL;DR

This paper investigates di-jet fragmentation in electron-positron annihilation using frame-independent variables to better understand intrinsic transverse momenta and the transition to hard subprocesses.

## Contribution

It introduces covariantly defined variables for analyzing di-jet fragmentation, providing a frame-independent approach to study intrinsic transverse momenta.

## Key findings

- Variables are centered around zero in collinear cases.
- Deviations indicate intrinsic transverse momenta and hard subprocesses.
- Covariant variables effectively gauge intrinsic transverse momenta.

## Abstract

We study fragmentation in electron-positron annihilation assuming a di-jet situation, using variables defined independent of any frame. In a collinear situation some of the variables are centered around zero with the small deviations attributed to intrinsic transverse momenta and large deviations attributed to additional hard subprocesses. Of course there is a gradual transition. Our modest goal is to show that covariantly defined variables are well suited to get a feeling for the magnitude of intrinsic transverse momenta.