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2021

Yang-Mills observables: from KMOC to eikonal through EFT

de la Cruz, Leonardo, Luna, Andres, Scheopner, Trevor

Understand

We obtain a conservative Hamiltonian describing the interactions of two charged bodies in Yang-Mills through $\mathcal{O}(\alpha^2)$ and to all orders in velocity.

Our calculation extends a recently-introduced framework based on scattering amplitudes and effective field theory (EFT) to consider color-charged objects.
These results are checked against the direct integration of the observables in the Kosower-Maybee-O'Connell (KMOC) formalism.
At the order we consider we find that the linear and color 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.