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Understanding IR singularities in the Loop-Tree Duality

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Abstract

One of the main advantages of the Loop-Tree Duality representation of scattering amplitudes is that it makes the origin of infrared and threshold singularities particularly transparent. This talk reviews recent progress in describing how singularities emerge and cancel at the level of scattering and vacuum amplitudes, discusses a novel strategy to efficiently construct finite integrals, and presents a complementary perspective based on encoding the underlying causal and singular structure in terms of qubits and quantum circuits.

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BibTeX
@misc{rodrigo2026understanding,
  title = {{Understanding IR singularities in the Loop-Tree Duality}},
  author = {Germán Rodrigo and Leandro Cieri and Prasanna K. Dhani and Roger J. Hernández-Pinto and Jorge J. Mart\'ınez de Lejarza and Salvador A. Ochoa-Oregon and Konstantinos Pyretzidis and Selomit Ram\'ırez-Uribe and David F. Renter\'ıa-Estrada and Andrés E. Renter\'ıa-Olivo and José R\'ıos-Sánchez and German F. R. Sborlini and Surabhi Tiwari and Juan P. Uribe-Ram\'ırez},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.00869},
  eprint = {2609.00869},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.00869},
}
RIS
TY  - UNPB
TI  - Understanding IR singularities in the Loop-Tree Duality
AU  - Germán Rodrigo
AU  - Leandro Cieri
AU  - Prasanna K. Dhani
AU  - Roger J. Hernández-Pinto
AU  - Jorge J. Mart\'ınez de Lejarza
AU  - Salvador A. Ochoa-Oregon
AU  - Konstantinos Pyretzidis
AU  - Selomit Ram\'ırez-Uribe
AU  - David F. Renter\'ıa-Estrada
AU  - Andrés E. Renter\'ıa-Olivo
AU  - José R\'ıos-Sánchez
AU  - German F. R. Sborlini
AU  - Surabhi Tiwari
AU  - Juan P. Uribe-Ram\'ırez
PY  - 2026
DA  - 2026/09/01
PB  - arXiv
DO  - 10.48550/arxiv.2609.00869
UR  - https://arxiv.org/abs/2609.00869
AB  - One of the main advantages of the Loop-Tree Duality representation of scattering amplitudes is that it makes the origin of infrared and threshold singularities particularly transparent. This talk reviews recent progress in describing how singularities emerge and cancel at the level of scattering and vacuum amplitudes, discusses a novel strategy to efficiently construct finite integrals, and presents a complementary perspective based on encoding the underlying causal and singular structure in terms of qubits and quantum circuits.
ER  -