Factorization in Semi-Inclusive Polarized Deep Inelastic Scattering

Abstract

We calculate and analize the $\mathcal{O}({\alpha }_s)$ one-particle inclusive cross section in polarized deep inelastic lepton-hadron scattering, using dimensional regularization and the HVBM prescription for ${\gamma }_5$. We discuss the factorization of all the collinear singularities related to the process, particularly those which are absorbed in the redefinition of the spin dependent analogue of the recently introduced fracture functions. This is done in the usual $\overline{MS}$ scheme and in another one, called $\overline{M{S}_p}$, which factorizes soft contributions and guarantees the axial current (non)conservation properties.

16 pages, figures included using FEYNMAN macro

References in corpus (3)

• One-Particle Inclusive Processes in Deeply Inelastic Lepton-Nucleon Scattering
• $\mathcal{O}({\alpha }_s)$ Spin-Dependent Weak Structure Functions
• Scale Dependence of Polarized DIS Asymmetries

Cited by in corpus (38)

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• Sea quark and gluon polarization in the nucleon at NLO accuracy
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• Testing Target Independence of the `Proton Spin' Effect in Semi-Inclusive Deep Inelastic Scattering
• Quark sea asymmetries of the octet baryons
• Next to Leading Order QCD Corrections to Polarized $\Lambda$ Production in DIS
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• Global analysis of polarized DIS & SIDIS data with improved small-$x$ helicity evolution
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• Heavy-Quark Production in the Target Fragmentation Region
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• Constraints on gluon polarization in the nucleon at NLO accuracy
• Gluonic contributions to semi-inclusive DIS in the target fragmentation region
• The Transversity Function and Double Spin Azimuthal Asymmetry in Semi-Inclusive Pion Leptoproduction
• Sea quark polarization and semi-inclusive DIS data