The logarithmic contributions to the $$O(\alpha _s^3)$$O(αs3) asymptotic massive Wilson coefficients and operator matrix elements in deeply inelastic scattering

We calculate the logarithmic contributions to the massive Wilson coefficients for deep-inelastic scattering in the asymptotic region $$Q^2 \gg m^2$$Q2≫m2 to 3-loop order in the fixed flavor number scheme and present the corresponding expressions for the massive operator matrix elements needed in the variable flavor number scheme. Explicit expressions are given in Mellin $$N$$N-space.

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