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arXiv · 2108.02178

Yang-Mills observables: from KMOC to eikonal through EFT

Leonardo de la Cruz·Andres Luna·Trevor Scheopner
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Abstract

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.

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Leonardo de la Cruz, Andres Luna, Trevor Scheopner. 2021-08-04. Yang-Mills observables: from KMOC to eikonal through EFT. https://doi.org/10.1007/jhep01(2022)045

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