Next to Leading Order QCD Corrections to Polarized $\Lambda$ Production in DIS

Abstract

We calculate next to leading order QCD corrections to semi-inclusive polarized deep inelastic scattering and $e^{+}{e}^{-}$ annihilation cross sections for processes where the polarization of the identified final-state hadron can also be determined. Using dimensional regularization and the HVBM prescription for the ${\gamma }_5$ matrix, we compute corrections for different spin-dependent observables, both in the $\overline{MS}$ and $\overline{M{S}_p}$ factorization schemes, and analyse their structure. In addition to the well known corrections to polarized parton distributions, we also present those for final-state polarized fracture functions and polarized fragmentation functions, in a consistent factorization scheme.

Comments: final version with few corrections, to be published in Nuc. Phys. B