A New Fracture Function Approach to QCD Initial State Radiation

TL;DR

This paper introduces a generalized fracture function framework for QCD initial state radiation, extending the description of hadron production in deep inelastic scattering and proposing a new jet-like observable with derived evolution equations.

Contribution

It generalizes ordinary fracture functions to handle multiple hadron productions and introduces a novel jet-like observable with QCD evolution equations.

Findings

Generalized fracture functions for multiple hadron production.

Derived QCD evolution equations for the new jet-like observable.

Discussion of implications for semi-inclusive deep inelastic scattering.

Abstract

Ordinary fracture functions, describing hadrons production in the deep inelastic scattering target fragmentation region, are generalized to account for the production of hadrons in arbitrary number, thus offering a renewed framework for dealing with QCD initial state radiation. We also propose a new jet-like observable which measures beam remnants and low-$p_{\perp}$ scattering fragments and derive its QCD evolution equations by using Jet Calculus. Possible implications for semi-inclusive deep inelastic scattering and hadron-hadron reactions are shortly discussed.