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Yang-Mills observables: from KMOC to eikonal through EFT

2022; Springer Nature; Volume: 2022; Issue: 1 Linguagem: Inglês

10.1007/jhep01(2022)045

1127-2236

Leonardo de la Cruz, Andrés Luna, Trevor Scheopner,

High-Energy Particle Collisions Research

A bstract We obtain a conservative Hamiltonian describing the interactions of two charged bodies in Yang-Mills through $$ \mathcal{O}\left({\alpha}^2\right) $$ O α 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.