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

Journal Article · 10 January 2022 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep01(2022)045 · OSTI ID:1976425

de la Cruz, Leonardo  ^[1]; Luna, Andres ^[2]; Scheopner, Trevor ^[2]

---

1. University of Bologna (Italy); Istituto Nazionale di Fisica Nucleare (INFN), Bologna (Italy); Univ. of California, Los Angeles, CA (United States)
2. University of California, Los Angeles, CA (United States)

We obtain a conservative Hamiltonian describing the interactions of two charged bodies in Yang-Mills through $$\mathcal{O}$$ (α²) 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.

• Research Organization: University of California, Los Angeles, CA (United States)
• Sponsoring Organization: USDOE Office of Science (SC); Mani L. Bhaumik Institute; Open Physics Hub (Bologna)
• Grant/Contract Number: SC0009937
• OSTI ID: 1976425
• Journal Information: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 1 Vol. 2022; ISSN 1029-8479
• Publisher: Springer NatureCopyright Statement
• Country of Publication: United States
• Language: English