Lorentz-Equivariance without Limitations
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arXiv
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| Main Authors: | , , , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914145486503936 |
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| author | Favaro, Luigi Gerhartz, Gerrit Hamprecht, Fred A. Lippmann, Peter Pitz, Sebastian Plehn, Tilman Qu, Huilin Spinner, Jonas |
| author_facet | Favaro, Luigi Gerhartz, Gerrit Hamprecht, Fred A. Lippmann, Peter Pitz, Sebastian Plehn, Tilman Qu, Huilin Spinner, Jonas |
| contents | Lorentz Local Canonicalization (LLoCa) ensures exact Lorentz-equivariance for arbitrary neural networks with minimal computational overhead. For the LHC, it equivariantly predicts local reference frames for each particle and propagates any-order tensorial information between them. We apply it to graph networks and transformers. We showcase its cutting-edge performance on amplitude regression, end-to-end event generation, and jet tagging. For jet tagging, we introduce a large top tagging dataset to benchmark LLoCa versions of a range of established benchmark architectures and highlight the importance of symmetry breaking. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_14898 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lorentz-Equivariance without Limitations Favaro, Luigi Gerhartz, Gerrit Hamprecht, Fred A. Lippmann, Peter Pitz, Sebastian Plehn, Tilman Qu, Huilin Spinner, Jonas High Energy Physics - Phenomenology High Energy Physics - Experiment Lorentz Local Canonicalization (LLoCa) ensures exact Lorentz-equivariance for arbitrary neural networks with minimal computational overhead. For the LHC, it equivariantly predicts local reference frames for each particle and propagates any-order tensorial information between them. We apply it to graph networks and transformers. We showcase its cutting-edge performance on amplitude regression, end-to-end event generation, and jet tagging. For jet tagging, we introduce a large top tagging dataset to benchmark LLoCa versions of a range of established benchmark architectures and highlight the importance of symmetry breaking. |
| title | Lorentz-Equivariance without Limitations |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2508.14898 |