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arXiv · 2405.11474

T-odd transverse momentum dependent gluon fragmentation functions in a spectator model

Xiupeng Xie·Zhun Lu
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Abstract

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.

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Xiupeng Xie, Zhun Lu. 2024-05-19. T-odd transverse momentum dependent gluon fragmentation functions in a spectator model. https://arxiv.org/abs/2405.11474

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