On-Shell Methods for the Two-Loop Dilatation Operator and Finite Remainders

Understand

We compute the two-loop minimal form factors of all operators in the SU(2) sector of planar N=4 SYM theory via on-shell unitarity methods.

• From the UV divergence of this result, we obtain the two-loop dilatation operator in this sector.
• Furthermore, we calculate the corresponding finite remainder functions.
• Since the operators break the supersymmetry, the remainder functions do not have the property of uniform transcendentality.