PreprintarXiv licencearXiv
On the analytic continuation and matching of threshold singularities from Vacuum Amplitudes
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.
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BibTeX
@misc{ramırezuribe2026analytic,
title = {{On the analytic continuation and matching of threshold singularities from Vacuum Amplitudes}},
author = {Selomit Ram\'ırez-Uribe and Prasanna K. Dhani and German F. R. Sborlini and Germán Rodrigo},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.09202},
eprint = {2609.09202},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.09202},
}
RIS
TY - UNPB
TI - On the analytic continuation and matching of threshold singularities from Vacuum Amplitudes
AU - Selomit Ram\'ırez-Uribe
AU - Prasanna K. Dhani
AU - German F. R. Sborlini
AU - Germán Rodrigo
PY - 2026
DA - 2026/09/05
PB - arXiv
DO - 10.48550/arxiv.2609.09202
UR - https://arxiv.org/abs/2609.09202
AB - 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.
ER -