A non-linear representation of general scalar extensions of the Standard Model for HEFT matching
Abstract We introduce a non-linear representation of ultraviolet (UV) complete model, U representation, under which matching HEFT to general scalar extensions of the standard model is straightforward. The main idea is to express a scalar multiplet in its symmetric tensor representation rotated by U...
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SpringerOpen
2025-06-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP06(2025)021 |
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| author | Huayang Song Xia Wan |
| author_facet | Huayang Song Xia Wan |
| author_sort | Huayang Song |
| collection | DOAJ |
| description | Abstract We introduce a non-linear representation of ultraviolet (UV) complete model, U representation, under which matching HEFT to general scalar extensions of the standard model is straightforward. The main idea is to express a scalar multiplet in its symmetric tensor representation rotated by U matrices, where U matrix is exponential form of Goldstones based on Pauli matrices and meanwhile is a special SU(2) L rotation. All together the doublet is expressed in U matrix multiplying a doublet column (or a bidoublet matrix), which is composed of physical Higgs. Under these forms, in the UV Lagrangian there leave no mass mixing or kinetic mixing among U matrix and physical states, thus the Goldstones could be kept in U matrix throughout HEFT matching, and the matching process under functional method is much simplified. As an example, using U representation we show a complete matching between HEFT and the real triplet extension of Standard Model in a decoupling scenario. |
| format | Article |
| id | doaj-art-ef3fe988639b4a8299e409fa63e7725b |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-ef3fe988639b4a8299e409fa63e7725b2025-08-20T03:42:39ZengSpringerOpenJournal of High Energy Physics1029-84792025-06-012025612510.1007/JHEP06(2025)021A non-linear representation of general scalar extensions of the Standard Model for HEFT matchingHuayang Song0Xia Wan1Particle Theory and Cosmology Group, Center for Theoretical Physics of the Universe, Institute for Basic Science (IBS)School of physics and Information Technology, Shaanxi Normal UniversityAbstract We introduce a non-linear representation of ultraviolet (UV) complete model, U representation, under which matching HEFT to general scalar extensions of the standard model is straightforward. The main idea is to express a scalar multiplet in its symmetric tensor representation rotated by U matrices, where U matrix is exponential form of Goldstones based on Pauli matrices and meanwhile is a special SU(2) L rotation. All together the doublet is expressed in U matrix multiplying a doublet column (or a bidoublet matrix), which is composed of physical Higgs. Under these forms, in the UV Lagrangian there leave no mass mixing or kinetic mixing among U matrix and physical states, thus the Goldstones could be kept in U matrix throughout HEFT matching, and the matching process under functional method is much simplified. As an example, using U representation we show a complete matching between HEFT and the real triplet extension of Standard Model in a decoupling scenario.https://doi.org/10.1007/JHEP06(2025)021Higgs PropertiesOther Weak Scale BSM ModelsSMEFT |
| spellingShingle | Huayang Song Xia Wan A non-linear representation of general scalar extensions of the Standard Model for HEFT matching Journal of High Energy Physics Higgs Properties Other Weak Scale BSM Models SMEFT |
| title | A non-linear representation of general scalar extensions of the Standard Model for HEFT matching |
| title_full | A non-linear representation of general scalar extensions of the Standard Model for HEFT matching |
| title_fullStr | A non-linear representation of general scalar extensions of the Standard Model for HEFT matching |
| title_full_unstemmed | A non-linear representation of general scalar extensions of the Standard Model for HEFT matching |
| title_short | A non-linear representation of general scalar extensions of the Standard Model for HEFT matching |
| title_sort | non linear representation of general scalar extensions of the standard model for heft matching |
| topic | Higgs Properties Other Weak Scale BSM Models SMEFT |
| url | https://doi.org/10.1007/JHEP06(2025)021 |
| work_keys_str_mv | AT huayangsong anonlinearrepresentationofgeneralscalarextensionsofthestandardmodelforheftmatching AT xiawan anonlinearrepresentationofgeneralscalarextensionsofthestandardmodelforheftmatching AT huayangsong nonlinearrepresentationofgeneralscalarextensionsofthestandardmodelforheftmatching AT xiawan nonlinearrepresentationofgeneralscalarextensionsofthestandardmodelforheftmatching |