2014/10/27 by Hsiang-nan Li, Li, Hsiang-nan, Yu-Ming Wang +1 · 1 citation
Physics and Astronomy · #Atomic and Molecular Physics #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #Nuclear Theory (nucl-th) #Quantum Chromodynamics and Particle Interactions #Quantum chaos and dynamical systems
paper · pdf · doi:10.48550/arxiv.1410.7274
openalex publication_date 2014/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We propose a new definition of a transverse-momentum-dependent (TMD) wave function with simpler soft subtraction for kT factorization of hard exclusive processes. The un-subtracted wave function involves two pieces of non-light-like Wilson links oriented in different directions, so that the rapidity singularity appearing in usual kT factorization is regularized, and the pinched singularity from Wilson-link self-energy corrections is alleviated to a logarithmic one. In particular no soft function is needed, when the two pieces of Wilson links are orthogonal to each other. We show explicitly at one-loop level that the simpler definition with the non-dipolar Wilson links exhibits the same infrared behavior as the one with the dipolar Wilson links and complicated soft subtraction. It is pointed out that both definitions reduce to the naive TMD wave function as the non-light-like Wilson links approach to the light cone. Their equivalence is then extended to all orders by considering the evolution in the Wilson-link rapidity.