Resummation for Polarized Semi-Inclusive Deep-Inelastic Scattering at Small Transverse Momentum

Abstract

We study the transverse-momentum distribution of hadrons produced in semi-inclusive deep-inelastic scattering (SIDIS). We consider cross sections for various combinations of polarizations of the initial lepton and nucleon or the produced hadron, for which we perform the resummation of large double-logarithmic perturbative corrections arising at small transverse momentum. We present phenomenological results for the processes $lp\to l\pi X$ with longitudinally polarized leptons and protons. We discuss the impact of the perturbative resummation and of estimated non-perturbative contributions on the corresponding cross sections and their spin asymmetry. Our results should be relevant for ongoing studies in the COMPASS experiment at CERN, and for future experiments at the proposed eRHIC collider at BNL.

LateX 26 pages. Final version which appeared in Nucl. Phys. B. Figure labels have been changed

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• Relating Transverse Momentum Dependent and Collinear Factorization Theorems in a Generalized Formalism
• Transverse-momentum resummation: a perturbative study of Z production at the Tevatron
• Evolution of the helicity and transversity Transverse-Momentum-Dependent parton distributions
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• Pion TMDs in light-front constituent approach, and Boer-Mulders effect in the pion-induced Drell-Yan process
• An Overview of Transverse Momentum Dependent Factorization and Evolution
• Leading-Order Determination of the Gluon Polarization from high-$p_T$ Hadron Electroproduction
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