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arXiv · hep-ph/0604022

Light-cone divergence in twist-3 correlation functions

L. P. Gamberg·D. S. Hwang·A. Metz·M. Schlegel
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Abstract

It is argued that the definition of the twist-3 transverse momentum dependent correlation functions must be modified if they contain light-like Wilson lines. In the framework of a simple spectator model of the nucleon we show explicitly the presence of a light-cone divergence for a specific twist-3 time-reversal odd parton density. This divergence emerges for all eight twist-3 T-odd correlators and appears also in the case of a quark target in perturbative QCD. The divergence can be removed by using non-light-like Wilson lines. Based on our results we argue that currently there exists no established factorization formula for transverse momentum dependent twist-3 observables in semi-inclusive DIS and related processes.

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L. P. Gamberg, D. S. Hwang, A. Metz, M. Schlegel. 2006-07-12. Light-cone divergence in twist-3 correlation functions. https://doi.org/10.1016/j.physletb.2006.07.005

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