We present $\mathcal{O}\left({\alpha }_s^1\right)$ corrections to deep inelastic scattering amplitudes on massive quarks obtained within the scheme of Aivazis, Collins, Olness and Tung. After identifying the correct subtraction term the convergence of these contributions towards the analogous coefficient functions for massless quarks, obtained within the modified minimal subtraction scheme is demonstrated. Furthermore, the quantitative relevance of the contributions to neutral current and charged current structure functions is investigated for several choices of the factorization scale.

• Received 7 May 1998

DOI:https://doi.org/10.1103/PhysRevD.58.094035