We calculate the massive Wilson coefficients for the heavy-flavor contributions to the nonsinglet charged-current deep-inelastic scattering structure function $x{F}_3^{W^{+}}(x,Q^2)+x{F}_3^{W^{-}}(x,Q^2)$ in the asymptotic region $Q^2\gg m^2$ to three-loop order in 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 $s\to c$ contributes. Numerical results are presented for the charm-quark contributions and consequences on the Gross-Llewellyn Smith sum rule are discussed.

• Received 6 August 2015

DOI:https://doi.org/10.1103/PhysRevD.92.114005