Quantum Integrability for Three-Point Functions of Maximally Supersymmetric Yang-Mills Theory

Quantum corrections to three-point functions of scalar single trace operators in planar N = 4 Super-Yang-Mills theory are studied using integrability. At one loop, we find new algebraic structures that not only govern all two-loop corrections to the mixing of the operators but also automatically incorporate all one-loop diagrams correcting the tree-level Wick contractions. Speculations about possible extensions of our construction to all loop orders are given. We also match our results with the strong coupling predictions in the classical (Frolov-Tseytlin) limit.