The $O(\alpha_s^2)$ Heavy Quark Corrections to Charged Current   Deep-Inelastic Scattering at large Virtualities
  We calculate the $O(\alpha_s^2)$ heavy flavor corrections to charged current deep-inelastic scattering at large scales $Q^2 \gg m^2$. The contributing Wilson coefficient are given as convolutions between massive operator matrix elements and massless Wilson coefficients. Foregoing results in the literature are extended and corrected. Numerical results are presented for the kinematic region of the HERA data. 
Johannes Bl\"umlein, Alexander Hasselhuhn, and Torsten Pfoh
hep-ph hep-ex