Yang-Mills observables: from KMOC to eikonal through EFT

In this talk we present the integrated result of NLO conservative Yang-MIlls observables in the KMOC formalism. On the other hand, extending a recently-introduced framework based on scattering amplitudes and effective field theory (EFT) to consider colour-charged objects, we obtain a conservative Hamiltonian describing the interactions of two charged bodies in Yang-Mills. At the order we consider we find that the linear and colour impulses in a scattering event can be concisely described in terms of the eikonal phase, thus extending the domain of applicability of a formula originally proposed in the context of spinning particles.