Quark Mass Corrections to the Bjorken and Gross--Llewellyn-Smith Sum Rules

Quark mass corrections to the spin partonic structure function g_1(x,Q^2) and function F_3(x,Q^2) are obtained at the order O(alpha_s) along with the coefficient functions C^{(A)} and C^{(V)} related to the Bjorken and Gross--Llewellyn-Smith sum rules. In the massless limit the difference between F_3 and g_1 is encountered to be (alpha_s/\pi)*CF*(1-x). The results for the functions C^{(A)} and C^{(V)} at m=0 agree with the previous MS-scheme calculations C^{(A)}=C^{(V)}=1-(3*alpha_s/4\pi)*CF.