Hilbert series for ALP EFTs
Abstract Axions and axion-like particles (ALPs) are ubiquitous in popular attempts to solve supercalifragilisticexpialidocious puzzles of Nature. A widespread and vivid experimental programme spanning a vast range of mass scales and decades of couplings strives to find evidence for these elusive but...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP11(2023)196 |
| _version_ | 1827277426557714432 |
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| author | Christophe Grojean Jonathan Kley Chang-Yuan Yao |
| author_facet | Christophe Grojean Jonathan Kley Chang-Yuan Yao |
| author_sort | Christophe Grojean |
| collection | DOAJ |
| description | Abstract Axions and axion-like particles (ALPs) are ubiquitous in popular attempts to solve supercalifragilisticexpialidocious puzzles of Nature. A widespread and vivid experimental programme spanning a vast range of mass scales and decades of couplings strives to find evidence for these elusive but theoretically well-motivated particles. In the absence of clear guiding principle, effective field theories (EFTs) prove to be an efficient tool in this experimental quest. Hilbert series technologies are a privileged instrument of the EFT toolbox to enumerate and classify operators. In this work, we compute explicitly the Hilbert series capturing the interactions of a generic ALP to the Standard Model particles above and below the electroweak symmetry scale, which allow us to build bases of operators up to dimension 8. In particular, we revealed a remarkable structure of the Hilbert series that isolates the shift-symmetry breaking and preserving interactions. In addition, with the Hilbert series method, we enumerate the sources of CP violation in terms of CP-even, CP-odd and CP-violating operators. Furthermore, we provide an supplementary file of the Hilbert series up to dimension 15 to supplement our findings, which can be used for further analysis and exploration. |
| first_indexed | 2024-03-09T06:02:24Z |
| format | Article |
| id | doaj.art-7d2f1cfae4754e4d9b5b997371d6240a |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-24T07:20:59Z |
| publishDate | 2023-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-7d2f1cfae4754e4d9b5b997371d6240a2024-04-21T11:04:54ZengSpringerOpenJournal of High Energy Physics1029-84792023-11-0120231116410.1007/JHEP11(2023)196Hilbert series for ALP EFTsChristophe Grojean0Jonathan Kley1Chang-Yuan Yao2Deutsches Elektronen-Synchrotron DESYDeutsches Elektronen-Synchrotron DESYDeutsches Elektronen-Synchrotron DESYAbstract Axions and axion-like particles (ALPs) are ubiquitous in popular attempts to solve supercalifragilisticexpialidocious puzzles of Nature. A widespread and vivid experimental programme spanning a vast range of mass scales and decades of couplings strives to find evidence for these elusive but theoretically well-motivated particles. In the absence of clear guiding principle, effective field theories (EFTs) prove to be an efficient tool in this experimental quest. Hilbert series technologies are a privileged instrument of the EFT toolbox to enumerate and classify operators. In this work, we compute explicitly the Hilbert series capturing the interactions of a generic ALP to the Standard Model particles above and below the electroweak symmetry scale, which allow us to build bases of operators up to dimension 8. In particular, we revealed a remarkable structure of the Hilbert series that isolates the shift-symmetry breaking and preserving interactions. In addition, with the Hilbert series method, we enumerate the sources of CP violation in terms of CP-even, CP-odd and CP-violating operators. Furthermore, we provide an supplementary file of the Hilbert series up to dimension 15 to supplement our findings, which can be used for further analysis and exploration.https://doi.org/10.1007/JHEP11(2023)196Axions and ALPsSMEFT |
| spellingShingle | Christophe Grojean Jonathan Kley Chang-Yuan Yao Hilbert series for ALP EFTs Journal of High Energy Physics Axions and ALPs SMEFT |
| title | Hilbert series for ALP EFTs |
| title_full | Hilbert series for ALP EFTs |
| title_fullStr | Hilbert series for ALP EFTs |
| title_full_unstemmed | Hilbert series for ALP EFTs |
| title_short | Hilbert series for ALP EFTs |
| title_sort | hilbert series for alp efts |
| topic | Axions and ALPs SMEFT |
| url | https://doi.org/10.1007/JHEP11(2023)196 |
| work_keys_str_mv | AT christophegrojean hilbertseriesforalpefts AT jonathankley hilbertseriesforalpefts AT changyuanyao hilbertseriesforalpefts |