Tree-level Unitarity in SU 2 L × U 1 Y × U 1 Y ′ $$ \textrm{SU}{(2)}_L\times \textrm{U}{(1)}_Y\times \textrm{U}{(1)}_{Y^{\prime }} $$ Models
Abstract In models with a U(1) gauge extension beyond the Standard Model, one can derive sum rules for the couplings of the theory that are a consequence of tree-level unitarity. In this paper, we provide a comprehensive list of coupling sum rules for a general SU 2 L × U 1 Y × U 1 Y ′ $$ \textrm{SU...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-10-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP10(2023)083 |
| _version_ | 1797341435789312000 |
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| author | Miguel P. Bento Howard E. Haber João P. Silva |
| author_facet | Miguel P. Bento Howard E. Haber João P. Silva |
| author_sort | Miguel P. Bento |
| collection | DOAJ |
| description | Abstract In models with a U(1) gauge extension beyond the Standard Model, one can derive sum rules for the couplings of the theory that are a consequence of tree-level unitarity. In this paper, we provide a comprehensive list of coupling sum rules for a general SU 2 L × U 1 Y × U 1 Y ′ $$ \textrm{SU}{(2)}_L\times \textrm{U}{(1)}_Y\times \textrm{U}{(1)}_{Y^{\prime }} $$ gauge theory coupled to an arbitrary set of fermion and scalar multiplets. These results are of particular interest for models of dark matter that employ an extended gauge sector mediated by a new (dark) Z ′ gauge boson. For the case of a minimal extension of the Standard Model with a U 1 Y ′ $$ \textrm{U}{(1)}_{Y^{\prime }} $$ gauge boson, we clarify the definitions of the weak mixing angle and the electroweak ρ parameter. We demonstrate the utility of a generalized ρ parameter (denoted by ρ ′ ) whose definition naturally follows from the unitarity sum rules developed in this paper. |
| first_indexed | 2024-03-08T10:18:00Z |
| format | Article |
| id | doaj.art-b29f6742caa3456bb4a24cbabebc51f3 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-08T10:18:00Z |
| publishDate | 2023-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-b29f6742caa3456bb4a24cbabebc51f32024-01-28T12:15:18ZengSpringerOpenJournal of High Energy Physics1029-84792023-10-0120231012910.1007/JHEP10(2023)083Tree-level Unitarity in SU 2 L × U 1 Y × U 1 Y ′ $$ \textrm{SU}{(2)}_L\times \textrm{U}{(1)}_Y\times \textrm{U}{(1)}_{Y^{\prime }} $$ ModelsMiguel P. Bento0Howard E. Haber1João P. Silva2CFTP, Departamento de Física, Instituto Superior Técnico, Universidade de LisboaSanta Cruz Institute for Particle Physics, University of CaliforniaCFTP, Departamento de Física, Instituto Superior Técnico, Universidade de LisboaAbstract In models with a U(1) gauge extension beyond the Standard Model, one can derive sum rules for the couplings of the theory that are a consequence of tree-level unitarity. In this paper, we provide a comprehensive list of coupling sum rules for a general SU 2 L × U 1 Y × U 1 Y ′ $$ \textrm{SU}{(2)}_L\times \textrm{U}{(1)}_Y\times \textrm{U}{(1)}_{Y^{\prime }} $$ gauge theory coupled to an arbitrary set of fermion and scalar multiplets. These results are of particular interest for models of dark matter that employ an extended gauge sector mediated by a new (dark) Z ′ gauge boson. For the case of a minimal extension of the Standard Model with a U 1 Y ′ $$ \textrm{U}{(1)}_{Y^{\prime }} $$ gauge boson, we clarify the definitions of the weak mixing angle and the electroweak ρ parameter. We demonstrate the utility of a generalized ρ parameter (denoted by ρ ′ ) whose definition naturally follows from the unitarity sum rules developed in this paper.https://doi.org/10.1007/JHEP10(2023)083Electroweak Precision PhysicsNew Gauge InteractionsGauge Symmetry |
| spellingShingle | Miguel P. Bento Howard E. Haber João P. Silva Tree-level Unitarity in SU 2 L × U 1 Y × U 1 Y ′ $$ \textrm{SU}{(2)}_L\times \textrm{U}{(1)}_Y\times \textrm{U}{(1)}_{Y^{\prime }} $$ Models Journal of High Energy Physics Electroweak Precision Physics New Gauge Interactions Gauge Symmetry |
| title | Tree-level Unitarity in SU 2 L × U 1 Y × U 1 Y ′ $$ \textrm{SU}{(2)}_L\times \textrm{U}{(1)}_Y\times \textrm{U}{(1)}_{Y^{\prime }} $$ Models |
| title_full | Tree-level Unitarity in SU 2 L × U 1 Y × U 1 Y ′ $$ \textrm{SU}{(2)}_L\times \textrm{U}{(1)}_Y\times \textrm{U}{(1)}_{Y^{\prime }} $$ Models |
| title_fullStr | Tree-level Unitarity in SU 2 L × U 1 Y × U 1 Y ′ $$ \textrm{SU}{(2)}_L\times \textrm{U}{(1)}_Y\times \textrm{U}{(1)}_{Y^{\prime }} $$ Models |
| title_full_unstemmed | Tree-level Unitarity in SU 2 L × U 1 Y × U 1 Y ′ $$ \textrm{SU}{(2)}_L\times \textrm{U}{(1)}_Y\times \textrm{U}{(1)}_{Y^{\prime }} $$ Models |
| title_short | Tree-level Unitarity in SU 2 L × U 1 Y × U 1 Y ′ $$ \textrm{SU}{(2)}_L\times \textrm{U}{(1)}_Y\times \textrm{U}{(1)}_{Y^{\prime }} $$ Models |
| title_sort | tree level unitarity in su 2 l u 1 y u 1 y textrm su 2 l times textrm u 1 y times textrm u 1 y prime models |
| topic | Electroweak Precision Physics New Gauge Interactions Gauge Symmetry |
| url | https://doi.org/10.1007/JHEP10(2023)083 |
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