Electroweak renormalization based on gauge-invariant vacuum expectation values of non-linear Higgs representations. Part II. Extended Higgs sectors
Abstract A recently proposed scheme for a gauge-invariant treatment of tadpole corrections in spontaneously broken gauge theories — called Gauge-Invariant Vacuum expectation value Scheme (GIVS) — is applied to a singlet Higgs extension of the Standard Model and to the Two-Higgs Doublet Model. In con...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP08(2022)245 |
| _version_ | 1828436201475932160 |
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| author | Stefan Dittmaier Heidi Rzehak |
| author_facet | Stefan Dittmaier Heidi Rzehak |
| author_sort | Stefan Dittmaier |
| collection | DOAJ |
| description | Abstract A recently proposed scheme for a gauge-invariant treatment of tadpole corrections in spontaneously broken gauge theories — called Gauge-Invariant Vacuum expectation value Scheme (GIVS) — is applied to a singlet Higgs extension of the Standard Model and to the Two-Higgs Doublet Model. In contrast to previously used tadpole schemes, the GIVS unifies the gauge-invariance property with perturbative stability. For the Standard Model this was demonstrated for the conversion between on-shell and MS ¯ $$ \overline{\mathrm{MS}} $$ renormalized masses, where the GIVS leads to very moderate, gauge-independent electroweak corrections. In models with extended scalar sectors, issues with tadpole renormalization exist if Higgs mixing angles are renormalized with MS ¯ $$ \overline{\mathrm{MS}} $$ conditions, which is the major subject of this article. In detail, we first formulate non-linear representations of the extended scalar sectors, which is an interesting subject in its own right. Then we formulate the GIVS which employs these non-linear representations in the calculation of the tadpole renormalization constants, while actual higher-order calculations in the GIVS proceed in linear representations as usual. Finally, for the considered models we discuss the next-to-leading-order (electroweak and QCD) corrections to the decay processes h/H → WW/ZZ → 4 fermions of the CP-even neutral Higgs bosons h and H using MS ¯ $$ \overline{\mathrm{MS}} $$ -renormalized Higgs mixing angles with the GIVS and previously used tadpole treatments. |
| first_indexed | 2024-12-10T19:22:47Z |
| format | Article |
| id | doaj.art-0810185323154339bb318d06780eab1a |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-10T19:22:47Z |
| publishDate | 2022-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-0810185323154339bb318d06780eab1a2022-12-22T01:36:27ZengSpringerOpenJournal of High Energy Physics1029-84792022-08-012022814010.1007/JHEP08(2022)245Electroweak renormalization based on gauge-invariant vacuum expectation values of non-linear Higgs representations. Part II. Extended Higgs sectorsStefan Dittmaier0Heidi Rzehak1University of Freiburg, Institute of PhysicsUniversity of Tübingen, Institute for Theoretical PhysicsAbstract A recently proposed scheme for a gauge-invariant treatment of tadpole corrections in spontaneously broken gauge theories — called Gauge-Invariant Vacuum expectation value Scheme (GIVS) — is applied to a singlet Higgs extension of the Standard Model and to the Two-Higgs Doublet Model. In contrast to previously used tadpole schemes, the GIVS unifies the gauge-invariance property with perturbative stability. For the Standard Model this was demonstrated for the conversion between on-shell and MS ¯ $$ \overline{\mathrm{MS}} $$ renormalized masses, where the GIVS leads to very moderate, gauge-independent electroweak corrections. In models with extended scalar sectors, issues with tadpole renormalization exist if Higgs mixing angles are renormalized with MS ¯ $$ \overline{\mathrm{MS}} $$ conditions, which is the major subject of this article. In detail, we first formulate non-linear representations of the extended scalar sectors, which is an interesting subject in its own right. Then we formulate the GIVS which employs these non-linear representations in the calculation of the tadpole renormalization constants, while actual higher-order calculations in the GIVS proceed in linear representations as usual. Finally, for the considered models we discuss the next-to-leading-order (electroweak and QCD) corrections to the decay processes h/H → WW/ZZ → 4 fermions of the CP-even neutral Higgs bosons h and H using MS ¯ $$ \overline{\mathrm{MS}} $$ -renormalized Higgs mixing angles with the GIVS and previously used tadpole treatments.https://doi.org/10.1007/JHEP08(2022)245Higgs PropertiesHigher Order Electroweak CalculationsMulti-Higgs ModelsSpecific BSM Phenomenology |
| spellingShingle | Stefan Dittmaier Heidi Rzehak Electroweak renormalization based on gauge-invariant vacuum expectation values of non-linear Higgs representations. Part II. Extended Higgs sectors Journal of High Energy Physics Higgs Properties Higher Order Electroweak Calculations Multi-Higgs Models Specific BSM Phenomenology |
| title | Electroweak renormalization based on gauge-invariant vacuum expectation values of non-linear Higgs representations. Part II. Extended Higgs sectors |
| title_full | Electroweak renormalization based on gauge-invariant vacuum expectation values of non-linear Higgs representations. Part II. Extended Higgs sectors |
| title_fullStr | Electroweak renormalization based on gauge-invariant vacuum expectation values of non-linear Higgs representations. Part II. Extended Higgs sectors |
| title_full_unstemmed | Electroweak renormalization based on gauge-invariant vacuum expectation values of non-linear Higgs representations. Part II. Extended Higgs sectors |
| title_short | Electroweak renormalization based on gauge-invariant vacuum expectation values of non-linear Higgs representations. Part II. Extended Higgs sectors |
| title_sort | electroweak renormalization based on gauge invariant vacuum expectation values of non linear higgs representations part ii extended higgs sectors |
| topic | Higgs Properties Higher Order Electroweak Calculations Multi-Higgs Models Specific BSM Phenomenology |
| url | https://doi.org/10.1007/JHEP08(2022)245 |
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