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arXiv · 2310.19207

Heavy quark transverse momentum dependent fragmentation

Lin Dai·Chul Kim·Adam K. Leibovich
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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.

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Lin Dai, Chul Kim, Adam K. Leibovich. 2023-10-30. Heavy quark transverse momentum dependent fragmentation. https://arxiv.org/abs/2310.19207

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