2004/12/31 by Jian-Ping Ma, J. P. Ma, Q. Wang · 1 citation
Mathematics · Physics and Astronomy · #Cone (formal languages) #Function (biology) #Gravitational singularity #High-Energy Particle Collisions Research #Light cone #Mathematical physics #Mathematics #Momentum (technical analysis) #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Renormalization #Wave function #hep-ph
paper · pdf · doi:10.1016/j.physletb.2005.03.049
published as Phys.Lett. B613 (2005) 39-44 · Minor change in text, 7 pages, two figures
arxiv created 2005/03/14 · openalex publication_date 2005/03/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.