Heavy quark transverse momentum dependent fragmentation

TL;DR

This paper analyzes the effects of heavy quark mass on transverse momentum dependent fragmentation functions, providing calculations and exploring different momentum regimes to improve understanding of heavy quark fragmentation in high-energy processes.

Contribution

It introduces a detailed calculation of the heavy quark TMD fragmentation function and examines its behavior across different transverse momentum regimes, extending the theoretical framework.

Findings

Calculated one-loop heavy quark TMDFFs

Analyzed TMDFF behavior in small and large transverse momentum limits

Applied TMDFFs to jet fragmentation and $e^+e^-$ collision distributions

Abstract

In this paper, we investigate the heavy quark (HQ) mass effects on the transverse momentum dependent fragmentation function (TMDFF). We first calculate the one-loop TMDFF initiated by a heavy quark. We then investigate the HQ TMDFF in the limit where the transverse momentum, $q_\perp$ is small compared to the heavy quark mass, $q_\perp \ll m$ and also in the opposite limit where $q_\perp \gg m$. As applications of the HQ TMDFF, we study the HQ transverse momentum dependent jet fragmentation function, where the heavy quark fragments into a jet containing a heavy hadron, and we investigate a heavy hadron's transverse momentum dependent distribution with respect to the thrust axis in $e^+e^-$ collisions.