Higher order corrections to processes with transverse polarization

QCD higher order corrections (HOC) are determined for two processes involving transversely polarized particles: (i) p_↑p_↑→l⁻l⁺+X and (ii) e⁻e⁺→Λ_↑Λ̄_↑ (back‐to‐back) +X. K‐factors well exceeding unity are found. The dominance of HOC by soft, collinear and virtual gluons is discussed. For process (ii), for the two cases that the spin vectors of Λ,Λ̄ are: (a) on the production plane, (b) perpendicular to it, cross sections of opposite sign are found. This feature of the Born term persists with HOC and is independent of the size and shape of the fragmentation functions or other aspects of the calculation.