Quark Mass Corrections to the Bjorken and Gross--Llewellyn-Smith Sum Rules
Abstract
Quark mass corrections to the spin partonic structure function g1(x,Q2) and function F3(x,Q2) are obtained at the order O(alphas) 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 F3 and g1 is encountered to be (alphas/π)*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*alphas/4π)*CF.
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