We consider distributions of unpolarized (polarized) quarks in unpolarized (polarized) hadrons. Our approach is based on QCD factorization. We begin with a study of the basic factorization for the parton-hadron scattering amplitudes in the forward kinematics and suggest a model for non-perturbative contributions to such amplitudes. This model is based on this simple observation: after emitting an active quark by the initial hadron, the remaining set of quarks and gluons becomes unstable, so a description of this colored state can approximately be done in terms of resonances, which leads to expressions of the Breit-Wigner type. Then we reduce these formulas to obtain explicit expressions for the quark-hadron scattering amplitudes and quark distributions in - and collinear factorizations.
European Physical Journal C
- Pub Date:
- July 2015
- High Energy Physics - Phenomenology
- 18 pp, 7 figures. In the present version we include a discussion on rapidity divergences, correct some unclearly presented issues and eliminate misprints