${\cal O}(\alpha_{s})$ Spin-Dependent Weak Structure Functions

The complete next to leading logarithmic (${\cal O}(\alpha_{s})$) corrections to the spin dependent weak deep inelastic structure functions $g_{1},g_{3}$ and $g_{4}$, are calculated using dimensional regularization within the HVBM method. Analysing the quark and gluon initiated contributions to these corrections for different values for the quark masses, a consistent factorization prescription for spin dependent quark distributions, which safely removes soft contributions, is defined. It is shown that within this scheme, quark initiated corrections are comparable in magnitude to those of gluonic origin, even though their contributions to the moments are small.