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Hauptverfasser: Xie, Xiupeng, Lu, Zhun
Format: Preprint
Veröffentlicht: 2024
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Online-Zugang:https://arxiv.org/abs/2405.11474
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author Xie, Xiupeng
Lu, Zhun
author_facet Xie, Xiupeng
Lu, Zhun
contents We present a model calculation of the T-odd transverse momentum dependent (TMD) gluon fragmentation functions for a spin-1/2 hadron. Our model is based on the postulation that a time-like off-shell gluon can fragment into a hadron and a single spectator particle, which is considered to be on-shell. We consider the effect of the gluon exchange to calculate all necessary one-loop diagrams for the gluon-gluon correlation functions. Two out of four one-loop diagrams give sizeable contributions to the fragmentation functions. We obtain analytical expressions for the four T-odd TMD fragmentation functions of the gluon. We also provide numerical results on the z-dependence and $k_T$-dependence of the fragmentation functions.
format Preprint
id arxiv_https___arxiv_org_abs_2405_11474
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle T-odd transverse momentum dependent gluon fragmentation functions in a spectator model
Xie, Xiupeng
Lu, Zhun
High Energy Physics - Phenomenology
We present a model calculation of the T-odd transverse momentum dependent (TMD) gluon fragmentation functions for a spin-1/2 hadron. Our model is based on the postulation that a time-like off-shell gluon can fragment into a hadron and a single spectator particle, which is considered to be on-shell. We consider the effect of the gluon exchange to calculate all necessary one-loop diagrams for the gluon-gluon correlation functions. Two out of four one-loop diagrams give sizeable contributions to the fragmentation functions. We obtain analytical expressions for the four T-odd TMD fragmentation functions of the gluon. We also provide numerical results on the z-dependence and $k_T$-dependence of the fragmentation functions.
title T-odd transverse momentum dependent gluon fragmentation functions in a spectator model
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2405.11474