Soft anomalous dimension matrices in heavy quark-antiquark hadroproduction in association with a gluon jet

TL;DR

This paper calculates the soft anomalous dimension matrices for heavy quark-antiquark production with a gluon jet in hadron collisions, providing insights into their eigenvalue behavior through numerical analysis.

Contribution

It introduces the computation of SAD matrices for specific heavy quark production processes and analyzes their eigenvalues in particular kinematic configurations.

Findings

Eigenvalues of SAD matrices analyzed numerically

Provides insights into heavy quark production dynamics

Enhances understanding of soft gluon effects in QCD

Abstract

We compute the soft anomalous dimension (SAD) matrices for production of massive quarks $Q$ and $\bar{Q}$ in association with a gluon jet, from massless quarks $q$ and antiquarks $\bar{q}$: $q\bar{q}\rightarrow Q\bar{Q}g$, and in the gluon scattering $gg\rightarrow Q\bar{Q}g$. To analyze the behaviour of the eigenvalues of SAD matrices we perform numerical studies of their eigensystems at two special kinematical configurations.