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High Energy Physics - Phenomenology

arXiv:1610.08634 (hep-ph)
[Submitted on 27 Oct 2016 (v1), last revised 10 Apr 2017 (this version, v2)]

Title:Light-Cone Singularities and Transverse-Momentum-Dependent Factorization at Twist-3

Authors:A.P. Chen, J.P. Ma
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Abstract:We study transverse-momentum-dependent factorization at twist-3 for Drell-Yan processes. The factorization can be derived straightforwardly at leading order of $\alpha_s$. But at this order we find that light-cone singularities already exist and effects of soft gluons are not correctly factorized. We regularize the singularities with gauge links off the light-cone and introduce a soft factor to factorize the effects of soft gluons. Interestingly, the soft factor must be included in the definition of subtracted TMD parton distributions to correctly factorize the effects of soft gluons. We derive the Collins-Soper equation for one of twist-3 TMD parton distributions. The equation can be useful for resummation of large logarithms terms appearing in the corresponding structure function in collinear factorization. However, the derived equation is nonhomogeneous. This will make the resummation complicated.
Comments: presentation improved, references added. Published version
Subjects: High Energy Physics - Phenomenology (hep-ph)
Cite as: arXiv:1610.08634 [hep-ph]
  (or arXiv:1610.08634v2 [hep-ph] for this version)
  https://doi.org/10.48550/arXiv.1610.08634
Related DOI: https://doi.org/10.1016/j.physletb.2017.03.015

Submission history

From: J. P. Ma [view email]
[v1] Thu, 27 Oct 2016 06:59:36 UTC (98 KB)
[v2] Mon, 10 Apr 2017 01:27:23 UTC (100 KB)
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