Analytic three-loop solutions for image SYM twist operators Original Research Article

We introduce a method to obtain the analytic solution of the higher-order Baxter equation for twist-two and twist-three operators of planar image SYM. Our result proofs the conjectured formula for the three-loop anomalous dimension of twist-two operators. As such we derive the maximally transcendental part of the corresponding three-loop QCD result from the maximal supersymmetric gauge theory in four dimension purely by methods of integrability.