Gluonic contributions to spin-dependent weak structure functions

In this paper, the authors compute the gluonic contributions to the spin-dependent weak structure functions g,W,P(x, Q2) (i = 1,3,4), using the factorization theorem in the minimal subtraction scheme, (bar MS). The authors have considered the most general case where the quark flavor masses are distinguished and the gluons are off mass shell. The gluonic contribution to the first moment of g1WP (x, Q2) is found to vanish and g3,4WP (x, Q2) do not receive leading order gluonic contribution. These results are shown to be free of mass singularities