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We compute the three-loop QCD corrections to the massive quark form factorswith external vector, axial-vector, scalar and pseudo-scalar currents. Allcorrections with closed loops of massless fermions are included. Thenon-fermionic part is computed in the large-$N_c$ limit, where only planarFeynman diagrams contribute.

Three-loop massive form factors: complete light-fermion and large-$N_c$ corrections for vector, axial-vector, scalar and pseudo-scalar currents