Vacuum amplitudes and time-like causal unitary in the loop-tree duality
Abstract We present the first proof-of-concept application to decay processes at higher perturbative orders of loop-tree duality (LTD) causal unitary, a novel methodology that exploits the causal properties of vacuum amplitudes in the LTD and is directly well-defined in the four physical dimensions...
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| Main Authors: | , , , , , , , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)103 |
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| author | The LTD collaboration Selomit Ramírez-Uribe Andrés E. Rentería-Olivo David F. Rentería-Estrada Jorge J. Martínez de Lejarza Prasanna K. Dhani Leandro Cieri Roger J. Hernández-Pinto German F. R. Sborlini William J. Torres Bobadilla Germán Rodrigo |
| author_facet | The LTD collaboration Selomit Ramírez-Uribe Andrés E. Rentería-Olivo David F. Rentería-Estrada Jorge J. Martínez de Lejarza Prasanna K. Dhani Leandro Cieri Roger J. Hernández-Pinto German F. R. Sborlini William J. Torres Bobadilla Germán Rodrigo |
| author_sort | The LTD collaboration |
| collection | DOAJ |
| description | Abstract We present the first proof-of-concept application to decay processes at higher perturbative orders of loop-tree duality (LTD) causal unitary, a novel methodology that exploits the causal properties of vacuum amplitudes in the LTD and is directly well-defined in the four physical dimensions of the space-time. The generation of loop- and tree-level contributions to the differential decay rates from a kernel multiloop vacuum amplitude is shown in detail, and explicit expressions are presented for selected processes that are suitable for a lightweight understanding of the method. Specifically, we provide a clear physical interpretation of the local cancellation of soft, collinear and threshold singularities, and of the local renormalisation of ultraviolet singularities. The presentation is illustrated with numerical results that showcase the advantages of the method. |
| format | Article |
| id | doaj-art-f55c45e31c4041f1944dcead8cd9db29 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-f55c45e31c4041f1944dcead8cd9db292025-02-09T12:08:02ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025112410.1007/JHEP01(2025)103Vacuum amplitudes and time-like causal unitary in the loop-tree dualityThe LTD collaborationSelomit Ramírez-Uribe0Andrés E. Rentería-Olivo1David F. Rentería-Estrada2Jorge J. Martínez de Lejarza3Prasanna K. Dhani4Leandro Cieri5Roger J. Hernández-Pinto6German F. R. Sborlini7William J. Torres Bobadilla8Germán Rodrigo9Instituto de Física Corpuscular, Universitat de València — Consejo Superior de Investigaciones CientíficasInstituto de Física Corpuscular, Universitat de València — Consejo Superior de Investigaciones CientíficasInstituto de Física Corpuscular, Universitat de València — Consejo Superior de Investigaciones CientíficasInstituto de Física Corpuscular, Universitat de València — Consejo Superior de Investigaciones CientíficasInstituto de Física Corpuscular, Universitat de València — Consejo Superior de Investigaciones CientíficasInstituto de Física Corpuscular, Universitat de València — Consejo Superior de Investigaciones CientíficasFacultad de Ciencias Físico-Matemáticas, Universidad Autónoma de SinaloaDepartamento de Física Fundamental e IUFFyM, Universidad de SalamancaDepartment of Mathematical Sciences, University of LiverpoolInstituto de Física Corpuscular, Universitat de València — Consejo Superior de Investigaciones CientíficasAbstract We present the first proof-of-concept application to decay processes at higher perturbative orders of loop-tree duality (LTD) causal unitary, a novel methodology that exploits the causal properties of vacuum amplitudes in the LTD and is directly well-defined in the four physical dimensions of the space-time. The generation of loop- and tree-level contributions to the differential decay rates from a kernel multiloop vacuum amplitude is shown in detail, and explicit expressions are presented for selected processes that are suitable for a lightweight understanding of the method. Specifically, we provide a clear physical interpretation of the local cancellation of soft, collinear and threshold singularities, and of the local renormalisation of ultraviolet singularities. The presentation is illustrated with numerical results that showcase the advantages of the method.https://doi.org/10.1007/JHEP01(2025)103Duality in Gauge Field TheoriesHigher-Order Perturbative CalculationsScattering Amplitudes |
| spellingShingle | The LTD collaboration Selomit Ramírez-Uribe Andrés E. Rentería-Olivo David F. Rentería-Estrada Jorge J. Martínez de Lejarza Prasanna K. Dhani Leandro Cieri Roger J. Hernández-Pinto German F. R. Sborlini William J. Torres Bobadilla Germán Rodrigo Vacuum amplitudes and time-like causal unitary in the loop-tree duality Journal of High Energy Physics Duality in Gauge Field Theories Higher-Order Perturbative Calculations Scattering Amplitudes |
| title | Vacuum amplitudes and time-like causal unitary in the loop-tree duality |
| title_full | Vacuum amplitudes and time-like causal unitary in the loop-tree duality |
| title_fullStr | Vacuum amplitudes and time-like causal unitary in the loop-tree duality |
| title_full_unstemmed | Vacuum amplitudes and time-like causal unitary in the loop-tree duality |
| title_short | Vacuum amplitudes and time-like causal unitary in the loop-tree duality |
| title_sort | vacuum amplitudes and time like causal unitary in the loop tree duality |
| topic | Duality in Gauge Field Theories Higher-Order Perturbative Calculations Scattering Amplitudes |
| url | https://doi.org/10.1007/JHEP01(2025)103 |
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