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⊥ is small compared to the heavy quark mass, q⊥ ≪ m and also in the opposite limit where q⊥ ≫ 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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Acknowledgments
LD is supported by the Alexander von Humboldt Foundation. CK is supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Science and ICT (Grant No. NRF-2021R1A2C1008906). AKL is supported in part by the National Science Foundation under Grant No. PHY-2112829.
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Dai, L., Kim, C. & Leibovich, A.K. Heavy quark transverse momentum dependent fragmentation. J. High Energ. Phys. 2024, 2 (2024). https://doi.org/10.1007/JHEP05(2024)002
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DOI: https://doi.org/10.1007/JHEP05(2024)002