Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-12-20
Phys.Lett. B613 (2005) 39-44
Physics
High Energy Physics
High Energy Physics - Phenomenology
Minor change in text, 7 pages, two figures
Scientific paper
10.1016/j.physletb.2005.03.049
A direct generalization of the transverse momentum integrated(TMI) light-cone wave function to define a transverse momentum dependent(TMD) light-cone wave function will cause light-cone singularities and they spoil TMD factorization. We motivate a definition in which the light-cone singularities are regularized with non-light like Wilson lines. The defined TMD light-cone wave function has some interesting relations to the corresponding TMI one. When the transverse momentum is very large, the TMD light-cone wave function is determined perturbatively in term of the TMI one. In the impact $b$-space with a small $b$, the TMD light-cone wave function can be factorized in terms of the TMI one. In this letter we study these relations. By-products of our study are the renormalization evolution of the TMI light-cone wave function and the Collins-Soper equation of the TMD light-cone wave function, the later will be useful for resumming Sudakov logarithms.
Ma Jian-Ping
Wang Qiangguo
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