TY - JOUR
T1 - Light-cone divergence in twist-3 correlation functions
AU - Gamberg, L. P.
AU - Hwang, D. S.
AU - Metz, A.
AU - Schlegel, M.
N1 - Funding Information:
We thank Gary R. Goldstein for useful discussions. The work of M.S. has been supported by the Graduiertenkolleg “Physik der Elementarteilchen an Beschleunigern und im Universum”. The work has also been partially supported by the KOSEF (Korea Science and Engeneering Foundation), by the Verbundforschung (BMBF), and by the Transregio/SFB Bochum–Bonn–Giessen. This research is part of the EU Integrated Infrastructure Initiative Hadronphysics Project under contract number RII3-CT-2004-506078.
PY - 2006/8/17
Y1 - 2006/8/17
N2 - 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.
AB - 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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U2 - 10.1016/j.physletb.2006.07.005
DO - 10.1016/j.physletb.2006.07.005
M3 - Article
AN - SCOPUS:33746351478
SN - 0370-2693
VL - 639
SP - 508
EP - 512
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
IS - 5
ER -