Journal
PHYSICS LETTERS B
Volume 639, Issue 5, Pages 508-512Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physletb.2006.07.005
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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. (c) 2006 Elsevier B.V. All rights reserved.
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