On the analytic continuation and matching of threshold singularities from Vacuum Amplitudes

Year: 2026

Type: preprint

Abstract: We provide a detailed discussion for all kinematical configurations of the analytic continuation to negative values of initial-state on-shell energies used to generate interferences of scattering amplitudes from vacuum amplitudes in the Loop-Tree Duality. We also extend previous discussions on the matching of threshold singularities and introduce angular averaging as an efficient strategy to achieve a local cancellation when the matching of threshold singularities from vacuum amplitudes is constrained by flavour.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.09202

Authors: Ram\'ırez-Uribe, Selomit, Dhani, Prasanna K., Sborlini, German F. R., Rodrigo, Germán

Institutions: University of Zurich, Universidad de Salamanca, Consejo Superior de Investigaciones Científicas, Universitat de València, Instituto de Física Corpuscular

Language: English

Topic: Particle physics theoretical and experimental studies

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung, European Regional Development Fund, Agencia Estatal de Investigación

OpenAlex ID: W7212178223