Anomalous dimensions of the double parton fragmentation functions

TL;DR

This paper completes the one-loop calculation of anomalous dimensions for double parton fragmentation functions, crucial for understanding quarkonium production at high transverse momentum, and analyzes mixing effects with single gluon fragmentation.

Contribution

It provides the full one-loop anomalous dimensions for DPFF and assesses mixing with single gluon fragmentation, advancing theoretical understanding of hadronization processes.

Findings

Completed one-loop anomalous dimension calculations for DPFF

Found mixing effects with single gluon fragmentation are sub-leading

Enhanced theoretical framework for quarkonium production modeling

Abstract

Double parton fragmentation is a process in which a pair of partons produced in the short-distance process hadronize into the final state hadron. This process is important for quarkonium production when the transverse momentum is much greater than the quark mass. Resummation of logarithms of the ratio of these two scales requires the evolution equations for double parton fragmentation functions (DPFF). In this paper we complete the one-loop evaluation of the anomalous dimensions for the DPFF. We also consider possible mixing between the DPFF and single parton power suppressed gluon fragmentation and show that such effects are sub-leading.