Light-cone divergence in twist-3 correlation functions

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

doi:10.1016/j.physletb.2006.07.005

Light-cone divergence in twist-3 correlation functions

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

Division of Science (Berks)

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56 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 language	English (US)
Pages (from-to)	508-512
Number of pages	5
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	639
Issue number	5
DOIs	https://doi.org/10.1016/j.physletb.2006.07.005
State	Published - Aug 17 2006

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/j.physletb.2006.07.005

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@article{580c65f0b02240ceb038a2880aac86da,

title = "Light-cone divergence in twist-3 correlation functions",

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.",

author = "Gamberg, {L. P.} and Hwang, {D. S.} and A. Metz and M. Schlegel",

note = "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.",

year = "2006",

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doi = "10.1016/j.physletb.2006.07.005",

language = "English (US)",

volume = "639",

pages = "508--512",

journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",

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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 -

Light-cone divergence in twist-3 correlation functions

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