The geometric νSMEFT: operators and connections
Abstract We write down a geometric realization of the Standard Model Effective Field Theory (SMEFT) extended by n f flavours of light sterile neutrinos, a so-called geoνSMEFT. As with the geoSMEFT introduced by Helset, Martin and Trott, we show that a refactorization of the νSMEFT’s operator product...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2023)069 |
| _version_ | 1797836722301566976 |
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| author | Jim Talbert |
| author_facet | Jim Talbert |
| author_sort | Jim Talbert |
| collection | DOAJ |
| description | Abstract We write down a geometric realization of the Standard Model Effective Field Theory (SMEFT) extended by n f flavours of light sterile neutrinos, a so-called geoνSMEFT. As with the geoSMEFT introduced by Helset, Martin and Trott, we show that a refactorization of the νSMEFT’s operator product expansion is possible, such that two- and three-point composite operator forms are dressed with field-space connections composed of towers of Higgs dressings and symmetry generators, valid at all-orders in the v ¯ T / Λ $$ {\overline{v}}_T/\Lambda $$ expansion parameter of the EFT v ¯ T ≡ 2 H † H $$ \left({\overline{v}}_T\equiv \sqrt{2\left\langle {H}^{\dagger }H\right\rangle}\right) $$ . These connections are parameterized by real Higgs coordinates and contribute to the field-space geometry of the (ν)SMEFT, with structure linked to the strength of Beyond-the-(ν)Standard Model physics encoded in v ¯ T / Λ $$ {\overline{v}}_T/\Lambda $$ . In addition to enumerating the relevant composite operators and associated connections, we briefly outline the route to calculating all- v ¯ T / Λ $$ {\overline{v}}_T/\Lambda $$ -orders amplitudes, including the flavor-invariant theory required to understand the neutrino mass-eigenstate basis geometrically. |
| first_indexed | 2024-04-09T15:13:30Z |
| format | Article |
| id | doaj.art-fbe7767f9148430b9c9d5f4cd2e4072b |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-09T15:13:30Z |
| publishDate | 2023-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-fbe7767f9148430b9c9d5f4cd2e4072b2023-04-30T11:04:29ZengSpringerOpenJournal of High Energy Physics1029-84792023-01-012023112610.1007/JHEP01(2023)069The geometric νSMEFT: operators and connectionsJim Talbert0DAMTP, University of CambridgeAbstract We write down a geometric realization of the Standard Model Effective Field Theory (SMEFT) extended by n f flavours of light sterile neutrinos, a so-called geoνSMEFT. As with the geoSMEFT introduced by Helset, Martin and Trott, we show that a refactorization of the νSMEFT’s operator product expansion is possible, such that two- and three-point composite operator forms are dressed with field-space connections composed of towers of Higgs dressings and symmetry generators, valid at all-orders in the v ¯ T / Λ $$ {\overline{v}}_T/\Lambda $$ expansion parameter of the EFT v ¯ T ≡ 2 H † H $$ \left({\overline{v}}_T\equiv \sqrt{2\left\langle {H}^{\dagger }H\right\rangle}\right) $$ . These connections are parameterized by real Higgs coordinates and contribute to the field-space geometry of the (ν)SMEFT, with structure linked to the strength of Beyond-the-(ν)Standard Model physics encoded in v ¯ T / Λ $$ {\overline{v}}_T/\Lambda $$ . In addition to enumerating the relevant composite operators and associated connections, we briefly outline the route to calculating all- v ¯ T / Λ $$ {\overline{v}}_T/\Lambda $$ -orders amplitudes, including the flavor-invariant theory required to understand the neutrino mass-eigenstate basis geometrically.https://doi.org/10.1007/JHEP01(2023)069SMEFTSterile or Heavy NeutrinosNew Light Particles |
| spellingShingle | Jim Talbert The geometric νSMEFT: operators and connections Journal of High Energy Physics SMEFT Sterile or Heavy Neutrinos New Light Particles |
| title | The geometric νSMEFT: operators and connections |
| title_full | The geometric νSMEFT: operators and connections |
| title_fullStr | The geometric νSMEFT: operators and connections |
| title_full_unstemmed | The geometric νSMEFT: operators and connections |
| title_short | The geometric νSMEFT: operators and connections |
| title_sort | geometric νsmeft operators and connections |
| topic | SMEFT Sterile or Heavy Neutrinos New Light Particles |
| url | https://doi.org/10.1007/JHEP01(2023)069 |
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