The Exclusive NLO DGLAP Kernels for Non-Singlet Evolution

TL;DR

This paper introduces a prototype of a fully exclusive NLO QCD initial-state parton shower that generates detailed four-momenta for all emitted partons, based on exclusive DGLAP kernels, aligning with the MS-bar scheme at the inclusive level.

Contribution

It presents the first prototype of an exclusive NLO initial-state parton shower using exclusive DGLAP kernels, providing detailed event information.

Findings

The parton shower produces fully exclusive events with four-momenta of all emitted partons.

It is consistent with the MS-bar scheme at the inclusive level.

Demonstrates the feasibility of implementing exclusive NLO kernels in parton showers.

Abstract

We show for a first time ever a prototype of a fully exclusive QCD NLO parton shower for the initial state (albeit for a limited set of diagrams). It is based on the rigorous theorems of the collinear factorisation, however the standard DGLAP evolution kernels are replaced by their exclusive versions. Contrary to the standard DGLAP approach, the constructed parton shower provides fully exclusive events, i.e. four-momenta of all emitted partons. At the inclusive level it is identical to the MS-bar scheme of the DGLAP evolution.