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DOE OSTI · 1976425

Yang-Mills observables: from $\mathrm{KMOC}$ to eikonal through $\mathrm{EFT}$

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

We obtain a conservative Hamiltonian describing the interactions of two charged bodies in Yang-Mills through $\mathcal{O}$ (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.

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71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICSeffective field theoriesperturbative QCDscattering amplitudes

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de la Cruz, Leonardo, Luna, Andres, Scheopner, Trevor. 2022-01-11. Yang-Mills observables: from $\mathrm{KMOC}$ to eikonal through $\mathrm{EFT}$. https://doi.org/10.1007/jhep01(2022)045

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