A simple algorithm for polarized parton evolution

TL;DR

This paper introduces a linear-scaling algorithm for polarized parton evolution that accurately models gluon production and decay plane correlations in parton-shower simulations, applicable across different kinematic regions.

Contribution

The paper presents a novel, efficient algorithm for including polarization effects and correlations in parton-shower simulations, compatible with existing fixed-order calculations.

Findings

Algorithm scales linearly with particle number

Agreement with fixed-order perturbative calculations

New observable for probing beyond current-current interactions

Abstract

We present an algorithm to include the correlation between the production and decay planes of gluons in a parton-shower simulation. The technique is based on identifying the charge currents responsible for the creation and annihilation of the vector field. It is applicable in both the hard-collinear and the soft wide-angle region. As a function of the number of particles, the algorithm scales linear in computing time and memory. We demonstrate agreement with fixed-order perturbative calculations in the relevant kinematical limits, and present a new observable that can be used to probe correlations beyond current-current interactions.