# Lattice QCD Method To Study Parton To Hadron Fragmentation Function

## TL;DR

This paper proposes a novel lattice QCD approach to study the parton to hadron fragmentation function, overcoming previous assumptions that it could not be analyzed with lattice methods.

## Contribution

It introduces a method using the LSZ reduction formula to enable lattice QCD studies of the fragmentation function, a previously considered infeasible task.

## Key findings

- Demonstrates the feasibility of studying fragmentation functions with lattice QCD.
- Provides a theoretical framework for future lattice calculations of hadronization processes.
- Challenges previous assumptions about the limitations of lattice QCD in this context.

## Abstract

In the literature it is assumed that the parton to hadron fragmentation function cannot be studied by using the lattice QCD method because of the sum over the (unobserved) outgoing hadronic states. However, in this paper we find that since the hadron formation from the partons can be studied by using the lattice QCD method, the parton to hadron fragmentation function can be studied by using the lattice QCD method by using the LSZ reduction formula for the partonic processes.