Twist-3 fragmentation functions in a spectator model with gluon rescattering

We study the twist-3 fragmentation functions H and 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 th...

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Bibliographic Details
Published in:Physics letters. B 2015-07, Vol.747 (C), p.357-364
Main Authors: Lu, Zhun, Schmidt, Ivan
Format: Article
Language:English
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Summary:We study the twist-3 fragmentation functions H and 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 D1 and the Collins function H1⊥. We find that our result for the favored fragmentation function is consistent with the recent extraction on H and H˜ from pp data. We also check numerically the equation of motion relation for H, H˜ and find that relation holds fairly well in the spectator model.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2015.06.011