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

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arxiv 2210.16532 v1 pith:R3ZVKZM3 submitted 2022-10-29 hep-ph

classification hep-ph
keywords functionsfragmentationgluonmodelspectatordependencedependentmomentum
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present a model calculation of transverse momentum dependent (TMD) gluon fragmentation functions for the spin-1/2 and spin-0 hadrons. The model is based on the assumption that a time-like off-shell gluon can fragments into a hadron and a single spectator particle. So far such spectator models have only been used to calculate the TMD distribution functions of quark and gluons. The gluon-hadron-spectator coupling is described by an effective vertex containing two form factors. We obtain the analytic expressions for the four T-even TMD fragmentation functions of the gluon. We also present the numerical results for the $z$-dependence and $k_T$-dependence of the fragmentation functions. Our study shows that the effects of these fragmentation functions may be significant and could be probed by future experimental measurements.

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  1. Probing Gluon Linear Polarization with Dihadron Fragmentation in $\chi_b$ Decays

    hep-ph 2026-08 conditional novelty 7.0 of 10

    The two gluons from chi_b0 decay carry correlated linear polarizations, so the angular correlation between two pion pairs can directly probe the previously unmeasured linearly polarized gluon dihadron fragmentation function.

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