Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality

A bstract Form factors, as quantities involving both local operators and asymptotic particle states, contain information of the spectrum on-shell amplitudes. So far studies form factors have been mostly focused on large N c planar limit, with a few exceptions Sudakov factors. In this paper, we discuss systematical construction full color dependent generic operators. We study decomposition for general strategy using unitarity cut method. As concrete applications, compute two-loop non-planar minimal half-BPS non-BPS in SU(2) sector $$ \mathcal{N} N = 4 SYM. Another important aspect is to investigate color-kinematics (CK) duality high-length Explicit CK dual representation found arbitrary number external legs. The full-color factor result provides an independent check infrared dipole formula n -point By extracting UV divergences, also reproduce known dilatation operator at two loops. finite remainder function, interestingly, part new maximally transcendental beyond result.