Three-loop off-forward evolution kernel for axial-vector operators in Larin’s scheme

Evolution equations for leading twist operators in high orders of perturbation theory can be restored from the spectrum anomalous dimensions and calculation special conformal anomaly at one order less using symmetry QCD Wilson-Fisher critical point non-integer $d=4-2\epsilon$ space-time dimensions. In this work we generalize technique to axial-vector operators. We calculate corresponding three-loop evolution kernels Larin's scheme derive explicit expressions finite renormalization kernel that describes difference vector case restore conventional ${\overline{\mathrm{MS}}}$-scheme. The results are directly applicable deeply-virtual Compton scattering transition form factor $\gamma^*\gamma\to\pi$.