The Asymptotic 3-Loop Heavy Flavor Corrections to the Charged Current Structure Functions $F_L^{W^+-W^-}(x,Q^2)$ and $F_2^{W^+-W^-}(x,Q^2)$

Abstract: We calculate the massive Wilson coefficients for the heavy flavor contributions to the non-singlet charged current deep-inelastic scattering structure functions $$F_L<sup>{W<sup>+}(x,Q<sup>2)-F_L<sup>{W<sup>-}(x,Q<sup>2)$$ and $$F_2<sup>{W<sup>+}(x,Q<sup>2)-F_2<sup>{W<sup>-}(x,Q<sup>2)$$ in the asymptotic region $Q² \gg m<sup>2$ to 3-loop order in Quantum Chromodynamics (QCD) at general values of the Mellin variable $N$ and the momentum fraction $x$. Besides the heavy quark pair production, also the single heavy flavor excitation $s \rightarrow c$ contributes. Numerical results are presented for the charm quark contributions and consequences on the unpolarized Bjorken sum rule and Adler sum rule are discussed.