The hidden geometry of particle collisions
We establish that many fundamental concepts and techniques in quantum field theory and collider physics can be naturally understood and unified through a simple new geometric language. The idea is to equip the space of collider events with a metric, from which other geometric objects can be rigorous...
| Autors principals: | , , |
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| Format: | Article |
| Idioma: | English |
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Springer Science and Business Media LLC
2021
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| Accés en línia: | https://hdl.handle.net/1721.1/129750 |
| _version_ | 1826199367526121472 |
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| author | Komiske, Patrick T. Metodiev, Eric Mario Thaler, Jesse |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Komiske, Patrick T. Metodiev, Eric Mario Thaler, Jesse |
| author_sort | Komiske, Patrick T. |
| collection | MIT |
| description | We establish that many fundamental concepts and techniques in quantum field theory and collider physics can be naturally understood and unified through a simple new geometric language. The idea is to equip the space of collider events with a metric, from which other geometric objects can be rigorously defined. Our analysis is based on the energy mover’s distance, which quantifies the “work” required to rearrange one event into another. This metric, which operates purely at the level of observable energy flow information, allows for a clarified definition of infrared and collinear safety and related concepts. A number of well-known collider observables can be exactly cast as the minimum distance between an event and various manifolds in this space. Jet definitions, such as exclusive cone and sequential recombination algorithms, can be directly derived by finding the closest few-particle approximation to the event. Several area- and constituent-based pileup mitigation strategies are naturally expressed in this formalism as well. Finally, we lift our reasoning to develop a precise distance between theories, which are treated as collections of events weighted by cross sections. In all of these various cases, a better understanding of existing methods in our geometric language suggests interesting new ideas and generalizations. |
| first_indexed | 2024-09-23T11:19:05Z |
| format | Article |
| id | mit-1721.1/129750 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T11:19:05Z |
| publishDate | 2021 |
| publisher | Springer Science and Business Media LLC |
| record_format | dspace |
| spelling | mit-1721.1/1297502022-10-01T02:45:50Z The hidden geometry of particle collisions Komiske, Patrick T. Metodiev, Eric Mario Thaler, Jesse Massachusetts Institute of Technology. Center for Theoretical Physics We establish that many fundamental concepts and techniques in quantum field theory and collider physics can be naturally understood and unified through a simple new geometric language. The idea is to equip the space of collider events with a metric, from which other geometric objects can be rigorously defined. Our analysis is based on the energy mover’s distance, which quantifies the “work” required to rearrange one event into another. This metric, which operates purely at the level of observable energy flow information, allows for a clarified definition of infrared and collinear safety and related concepts. A number of well-known collider observables can be exactly cast as the minimum distance between an event and various manifolds in this space. Jet definitions, such as exclusive cone and sequential recombination algorithms, can be directly derived by finding the closest few-particle approximation to the event. Several area- and constituent-based pileup mitigation strategies are naturally expressed in this formalism as well. Finally, we lift our reasoning to develop a precise distance between theories, which are treated as collections of events weighted by cross sections. In all of these various cases, a better understanding of existing methods in our geometric language suggests interesting new ideas and generalizations. 2021-02-11T22:50:44Z 2021-02-11T22:50:44Z 2020-07 2020-04 2020-10-25T04:17:40Z Article http://purl.org/eprint/type/JournalArticle 1029-8479 https://hdl.handle.net/1721.1/129750 Komiske, Patrick T. et al. "The hidden geometry of particle collisions." Journal of High Energy Physics 2020, 7 (July 2020) : 6 © 2020 The Authors en https://doi.org/10.1007/JHEP07(2020)006 Journal of High Energy Physics Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Science and Business Media LLC Springer Berlin Heidelberg |
| spellingShingle | Komiske, Patrick T. Metodiev, Eric Mario Thaler, Jesse The hidden geometry of particle collisions |
| title | The hidden geometry of particle collisions |
| title_full | The hidden geometry of particle collisions |
| title_fullStr | The hidden geometry of particle collisions |
| title_full_unstemmed | The hidden geometry of particle collisions |
| title_short | The hidden geometry of particle collisions |
| title_sort | hidden geometry of particle collisions |
| url | https://hdl.handle.net/1721.1/129750 |
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