Factorization and Gauge Invariance of Twist-3 Cross Section for Single Spin Asymmetry

Details Factorization and Gauge Invariance of Twist-3 Cross Section for Single Spin Asymmetry Factorization and Gauge Invariance of Twist-3 Cross Section for Single Spin Asymmetry

2007-06-18

arxiv.org/abs/0706.2545v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, 2 figures. Talk presented at DIS2007, April 16-20, 2007, Munich, Germany

Scientific paper

We prove factorization and gauge invariance of the twist-3 single-spin-dependent cross section in the leading order perturbative QCD, which was missing in the previous literature. We emphasize that the consistency relation from the Ward identities for color gauge invariance is crucial to guarantee the cancelation among the various gauge-noninvariant contributions in the cross section. This relation also proves the absence of the "derivative" terms in the cross section corresponding to the hard-pole and soft-fermion-pole contributions. Applying the formalism to SIDIS, $ep^\uparrow\to e\pi X$, we have derived the complete cross section associated with the twist-3 distribution for the transversely polarized nucleon.

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