NLO evolution of color dipoles in N=4 SYM

Understand

High-energy behavior of amplitudes in a gauge theory can be reformulated in terms of the evolution of Wilson-line operators.

• In the leading logarithmic approximation it is given by the conformally invariant BK equation for the evolution of color dipoles.
• In QCD, the next-to-leading order BK equation has both conformal and non-conformal parts, the latter providing the running of the coupling constant.
• To separate the conformally invariant effects from the running-coupling effects, we calculate the NLO evolution of the color dipoles in the conformal ${\cal N}$=4 SYM theory.