Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2011-11-16
Physics
High Energy Physics
High Energy Physics - Phenomenology
26 pages, 14 figures
Scientific paper
In the scattering with a transversely polarized quark, Single transverse-Spin Asymmetry(SSA) respecting to the spin of the massless quark is always zero, because of the helicity conservation in QCD. However, SSA can be nonzero in the scattering with multi-parton states instead of a single quark. We study multi-parton scattering for deriving the complete result of the collinear factorization for SSA in Drell-Yan processes. In the factorization twist-3 matrix elements are involved for nonperturbative effects of a transversely polarized hadron. We find that the factorized formula of SSA contains hard-pole-, soft-quark-pole- and soft-gluon-pole contributions. A part of the soft-gluon-pole contributions is factorized with twist-3 matrix elements defined only with gluonic fields. It is interesting to note that the soft-quark-pole- and soft-gluon-pole contributions are from one-loop contributions to the parton scattering, while the hard-pole contributions are from tree-level contributions. The perturbative coefficient functions of all contributions are at the same of order of $\alpha_s$. Our method to derive the factorization is different than that existing in literature. A comparison of our results is made with those derived by other method.
Ma Jian-Ping
Sang H. Z.
Zhu Sheng-Jiang
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