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Twist-3 fragmentation functions in a spectator model with gluon rescattering
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Twist-3 fragmentation functions in a spectator model with gluon rescattering
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We study the twist-3 fragmentation functions $H$ and $\tilde{H}$, by applying a spectator model. In the calculation we consider the effect of the gluon rescattering at one loop level. We find that in this case the hard-vertex diagram, which gives zero contribution to the Collins function, does contribute to the fragmentation function $H$. The calculation shows that the twist-3 T-odd fragmentation functions are free of light-cone divergences. The parameters of the model are fitted from the known parametrization of the unpolarized fragmentation $D_1$ and the Collins function $H_1^\perp$. We find our result for the favored fragmentation function is consistent with the recent extraction on $H$ and $\tilde{H}$ from pp data. We also check numerically the equation of motion relation for $H$, $\tilde{H}$ and find that relation holds fairly well in the spectator model.
Forward citations
Cited by 1 Pith paper
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T-odd transverse momentum dependent gluon distributions for tensor polarized deuteron in a spectator model
Six leading-twist T-odd gluon TMDs of a tensor-polarized deuteron are derived analytically and evaluated numerically in a spectator model with single-gluon final-state interaction.
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