The 3-loop non-singlet heavy flavor contributions to the structure function ${g}_{1}(x,{Q}^{2})$ at large momentum transfer

We calculate the massive flavor non-singlet Wilson coefficient for the heavy flavor contributions to the polarized structure function g1(x,Q2)g1(x,Q2) in the asymptotic region Q2≫m2Q2≫m2 to 3-loop order in Quantum Chromodynamics at general values of the Mellin variable N and the momentum fraction x , and derive heavy flavor corrections to the Bjorken sum-rule. Numerical results are presented for the charm quark contribution. Results on the structure function g2(x,Q2)g2(x,Q2) in the twist-2 approximation are also given