Bibliographic Details
| Title: |
SPECTER: efficient evaluation of the spectral EMD |
| Authors: |
Rikab Gambhir, Andrew J. Larkoski, Jesse Thaler |
| Source: |
Journal of High Energy Physics, Vol 2024, Iss 12, Pp 1-48 (2024) |
| Publisher Information: |
SpringerOpen, 2024. |
| Publication Year: |
2024 |
| Collection: |
LCC:Nuclear and particle physics. Atomic energy. Radioactivity |
| Subject Terms: |
Jets and Jet Substructure, Specific QCD Phenomenology, Nuclear and particle physics. Atomic energy. Radioactivity, QC770-798 |
| More Details: |
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. |
| Document Type: |
article |
| File Description: |
electronic resource |
| Language: |
English |
| ISSN: |
1029-8479 |
| Relation: |
https://doaj.org/toc/1029-8479 |
| DOI: |
10.1007/JHEP12(2024)219 |
| Access URL: |
https://doaj.org/article/63de8afccee84cb7b27ff7ac95d48149 |
| Accession Number: |
edsdoj.63de8afccee84cb7b27ff7ac95d48149 |
| Database: |
Directory of Open Access Journals |
