2006/07/31 by J. P., J. P. Ma, Q. Wang
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.1103/physrevd.75.014014
published as Phys.Rev.D75:014014,2007 · Published version in Phys.Rev.D75:014014,2007
openalex publication_date 2007/01/17 · arxiv created 2007/02/06 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
With a consistent definition of transverse-momentum dependent (TMD) light-cone wave function, we show that the amplitude for the process \ensuremathγ*\ensuremathπ0\ensuremath→\ensuremathγ can be factorized when the virtuality of the initial photon is large. In contrast to the collinear factorization in which the amplitude is factorized as a convolution of the standard light-cone wave function and a hard part, the TMD factorization yields a convolution of a TMD light-cone wave function, a soft factor and a hard part. We explicitly show that the TMD factorization holds at one-loop level. It is expected that the factorization holds beyond one-loop level because the cancellation of soft divergences is on a diagram-by-diagram basis. We also show that the TMD factorization helps to resum large logarithms of type ln2x.