on structure constants with two spinning twist-two operators

Abstract I consider three-point functions of one protected and two unprotected twist-two operators ccwith spin in N = 4 $$ \mathcal{N}=4 $$ SYM at weak coupling. At one loop I formulate an empiric conjecture for the dependence of the corresponding structure constants on the spins of the operators. Using such an ansatz and some input from explicit perturbative results, I fix completely various infinite sets of one-loop structure constants of these three-point functions. Finally, I determine the two-loop corrections to the structure constants for a few fixed values of the spins of the operators.