Light-cone divergence in twist-3 correlation functions

L. P. Gamberg, D. S. Hwang, A. Metz, M. Schlegel

Research output: Contribution to journalArticlepeer-review

51 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)508-512
Number of pages5
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume639
Issue number5
DOIs
StatePublished - Aug 17 2006

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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