We present a factorization formula for valence quark distributions in a hadron in x→1 limit. For the example of pion, we arrive at the form of factorization by analyzing momentum flow in the leading and high-order Feynman diagrams. The result confirms the well-known 1-x scaling rule to all orders in perturbation theory, providing the nonperturbative matrix elements for the infrared divergence factors. We comment on resummation of perturbative single and double logarithms in 1-x. © 2005 Elsevier B.V. All rights reserved.
Ji, X., Ma, J. P., & Yuan, F. (2005). Factorization of large-x quark distributions in a hadron. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 610(3–4), 247–252. https://doi.org/10.1016/j.physletb.2005.02.019