SPECTER: efficient evaluation of the spectral EMD
Abstract The Energy Mover’s Distance (EMD) has seen use in collider physics as a metric between events and as a geometric method of defining infrared and collinear safe observables. Recently, the Spectral Energy Mover’s Distance (SEMD) has been proposed as a more analytically tractable alternative t...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-12-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP12(2024)219 |
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| author | Rikab Gambhir Andrew J. Larkoski Jesse Thaler |
| author_facet | Rikab Gambhir Andrew J. Larkoski Jesse Thaler |
| author_sort | Rikab Gambhir |
| collection | DOAJ |
| description | Abstract The Energy Mover’s Distance (EMD) has seen use in collider physics as a metric between events and as a geometric method of defining infrared and collinear safe observables. Recently, the Spectral Energy Mover’s Distance (SEMD) has been proposed as a more analytically tractable alternative to the EMD. In this work, we obtain a closed-form expression for the Riemannian-like p = 2 SEMD metric between events, eliminating the need to numerically solve an optimal transport problem. Additionally, we show how the SEMD can be used to define event and jet shape observables by minimizing the distance between events and parameterized energy flows (similar to the EMD), and we obtain closed-form expressions for several of these observables. We also present the Specter framework, an efficient and highly parallelized implementation of the SEMD metric and SEMD-derived shape observables as an analogue of the previously-introduced Shaper for EMD-based computations. We demonstrate that computing the SEMD with Specter can be up to a thousand times faster than computing the EMD with standard optimal transport libraries. |
| format | Article |
| id | doaj-art-63de8afccee84cb7b27ff7ac95d48149 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-63de8afccee84cb7b27ff7ac95d481492025-01-05T12:05:49ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241214810.1007/JHEP12(2024)219SPECTER: efficient evaluation of the spectral EMDRikab Gambhir0Andrew J. Larkoski1Jesse Thaler2Center for Theoretical Physics, Massachusetts Institute of TechnologyDepartment of Physics and Astronomy, University of CaliforniaCenter for Theoretical Physics, Massachusetts Institute of TechnologyAbstract The Energy Mover’s Distance (EMD) has seen use in collider physics as a metric between events and as a geometric method of defining infrared and collinear safe observables. Recently, the Spectral Energy Mover’s Distance (SEMD) has been proposed as a more analytically tractable alternative to the EMD. In this work, we obtain a closed-form expression for the Riemannian-like p = 2 SEMD metric between events, eliminating the need to numerically solve an optimal transport problem. Additionally, we show how the SEMD can be used to define event and jet shape observables by minimizing the distance between events and parameterized energy flows (similar to the EMD), and we obtain closed-form expressions for several of these observables. We also present the Specter framework, an efficient and highly parallelized implementation of the SEMD metric and SEMD-derived shape observables as an analogue of the previously-introduced Shaper for EMD-based computations. We demonstrate that computing the SEMD with Specter can be up to a thousand times faster than computing the EMD with standard optimal transport libraries.https://doi.org/10.1007/JHEP12(2024)219Jets and Jet SubstructureSpecific QCD Phenomenology |
| spellingShingle | Rikab Gambhir Andrew J. Larkoski Jesse Thaler SPECTER: efficient evaluation of the spectral EMD Journal of High Energy Physics Jets and Jet Substructure Specific QCD Phenomenology |
| title | SPECTER: efficient evaluation of the spectral EMD |
| title_full | SPECTER: efficient evaluation of the spectral EMD |
| title_fullStr | SPECTER: efficient evaluation of the spectral EMD |
| title_full_unstemmed | SPECTER: efficient evaluation of the spectral EMD |
| title_short | SPECTER: efficient evaluation of the spectral EMD |
| title_sort | specter efficient evaluation of the spectral emd |
| topic | Jets and Jet Substructure Specific QCD Phenomenology |
| url | https://doi.org/10.1007/JHEP12(2024)219 |
| work_keys_str_mv | AT rikabgambhir specterefficientevaluationofthespectralemd AT andrewjlarkoski specterefficientevaluationofthespectralemd AT jessethaler specterefficientevaluationofthespectralemd |