Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-04-03
Phys.Lett.B639:508-512,2006
Physics
High Energy Physics
High Energy Physics - Phenomenology
6 pages, 1 figure, slightly extended version, to appear in Phys. Lett. B
Scientific paper
10.1016/j.physletb.2006.07.005
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.
Gamberg Leonard P.
Hwang Dae Sung
Metz Andreas
Schlegel Marc
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