Three-loop evolution equation for flavor-nonsinglet operators in off-forward kinematics

Understand

Using the approach based on conformal symmetry we calculate the three-loop (NNLO) contribution to the evolution equation for flavor-nonsinglet leading twist operators in the $\overline{\text{MS}}$ scheme.

• The explicit expression for the three-loop kernel is derived for the corresponding light-ray operator in coordinate space.
• The expansion in local operators is performed and explicit results are given for the matrix of the anomalous dimensions for the operators up to seven covariant derivatives.
• The results are directly applicable to the renormalization of the pion light-cone distribution amplitude and flavor-nonsinglet generalized parton distributions.