Implications of SU(2) L gauge invariance for constraints on Lorentz violation
Abstract Lorentz invariance may only be broken far above the electroweak scale, since violations are experimentally stringently constrained. Therefore, the Standard-Model Extension parameterizing Lorentz violation (LV) via (higher-dimensional) field theory operators is manifestly SU(2) L gauge-invar...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-04-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP04(2021)082 |
| _version_ | 1818652750554071040 |
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| author | Andreas Crivellin Fiona Kirk Marco Schreck |
| author_facet | Andreas Crivellin Fiona Kirk Marco Schreck |
| author_sort | Andreas Crivellin |
| collection | DOAJ |
| description | Abstract Lorentz invariance may only be broken far above the electroweak scale, since violations are experimentally stringently constrained. Therefore, the Standard-Model Extension parameterizing Lorentz violation (LV) via (higher-dimensional) field theory operators is manifestly SU(2) L gauge-invariant. As a consequence, LV in neutrinos implies LV in charged leptons and vice versa. This allows us to obtain estimated sensitivities for flavour-changing operators in the charged-lepton sector from neutrino oscillations as well as sensitivities for flavour-diagonal neutrino effects from high-precision electron experiments. We also apply this method to an analysis of time-of-flight data for neutrinos (detected by IceCube) and photons from gamma ray bursts where discrepancies have been observed. Our conclusion is that an explanation of the arrival time difference between neutrino and photon events by dim-5 operators in the neutrino sector would lead to unacceptably large LV effects in the charged-lepton sector. |
| first_indexed | 2024-12-17T02:26:58Z |
| format | Article |
| id | doaj.art-efa123e64d8c4849bae9ba8c43bb8602 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-17T02:26:58Z |
| publishDate | 2021-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-efa123e64d8c4849bae9ba8c43bb86022022-12-21T22:07:04ZengSpringerOpenJournal of High Energy Physics1029-84792021-04-012021412210.1007/JHEP04(2021)082Implications of SU(2) L gauge invariance for constraints on Lorentz violationAndreas Crivellin0Fiona Kirk1Marco Schreck2CERN Theory DivisionPaul Scherrer InstitutDepartamento de Física, Universidade Federal do Maranhão, Campus Universitário do BacangaAbstract Lorentz invariance may only be broken far above the electroweak scale, since violations are experimentally stringently constrained. Therefore, the Standard-Model Extension parameterizing Lorentz violation (LV) via (higher-dimensional) field theory operators is manifestly SU(2) L gauge-invariant. As a consequence, LV in neutrinos implies LV in charged leptons and vice versa. This allows us to obtain estimated sensitivities for flavour-changing operators in the charged-lepton sector from neutrino oscillations as well as sensitivities for flavour-diagonal neutrino effects from high-precision electron experiments. We also apply this method to an analysis of time-of-flight data for neutrinos (detected by IceCube) and photons from gamma ray bursts where discrepancies have been observed. Our conclusion is that an explanation of the arrival time difference between neutrino and photon events by dim-5 operators in the neutrino sector would lead to unacceptably large LV effects in the charged-lepton sector.https://doi.org/10.1007/JHEP04(2021)082Beyond Standard ModelEffective Field TheoriesSpace-Time SymmetriesNeutrino Physics |
| spellingShingle | Andreas Crivellin Fiona Kirk Marco Schreck Implications of SU(2) L gauge invariance for constraints on Lorentz violation Journal of High Energy Physics Beyond Standard Model Effective Field Theories Space-Time Symmetries Neutrino Physics |
| title | Implications of SU(2) L gauge invariance for constraints on Lorentz violation |
| title_full | Implications of SU(2) L gauge invariance for constraints on Lorentz violation |
| title_fullStr | Implications of SU(2) L gauge invariance for constraints on Lorentz violation |
| title_full_unstemmed | Implications of SU(2) L gauge invariance for constraints on Lorentz violation |
| title_short | Implications of SU(2) L gauge invariance for constraints on Lorentz violation |
| title_sort | implications of su 2 l gauge invariance for constraints on lorentz violation |
| topic | Beyond Standard Model Effective Field Theories Space-Time Symmetries Neutrino Physics |
| url | https://doi.org/10.1007/JHEP04(2021)082 |
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