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We calculate the $O(\alpha_s^2)$ heavy flavor corrections to charged currentdeep-inelastic scattering at large scales $Q^2 \gg m^2$. The contributingWilson coefficient are given as convolutions between massive operator matrixelements and massless Wilson coefficients. Foregoing results in the literatureare extended and corrected. Numerical results are presented for the kinematicregion of the HERA data.

The $O(\alpha_s^2)$ Heavy Quark Corrections to Charged Current Deep-Inelastic Scattering at large Virtualities