Explaining the CDF-II W-boson mass anomaly in the Georgi–Machacek extension models
Abstract Original Georgi–Machacek model can preserve the custodial symmetry at tree level after the electroweak symmetry breaking. Unless additional $$SU(2)_c$$ S U ( 2 ) c custodial symmetry breaking effects are significant, the new physics contributions to $$\Delta m_W$$ Δ m W are always very smal...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-02-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-023-11297-1 |
| _version_ | 1827974370555854848 |
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| author | Xiao Kang Du Zhuang Li Fei Wang Ying Kai Zhang |
| author_facet | Xiao Kang Du Zhuang Li Fei Wang Ying Kai Zhang |
| author_sort | Xiao Kang Du |
| collection | DOAJ |
| description | Abstract Original Georgi–Machacek model can preserve the custodial symmetry at tree level after the electroweak symmetry breaking. Unless additional $$SU(2)_c$$ S U ( 2 ) c custodial symmetry breaking effects are significant, the new physics contributions to $$\Delta m_W$$ Δ m W are always very small. Our numerical results show that ordinary GM model can contribute to $$\Delta m_W$$ Δ m W a maximal amount 0.0012 GeV, which can not explain the new CDF-II anomaly on W boson mass. We propose firstly to introduce small misalignment among the triplet VEVs to increase $$\Delta m_W$$ Δ m W , which can give large new physics contributions to $$\Delta m_W$$ Δ m W . Such slightly misaligned triplet VEVs from custodial symmetry preserving scalar potential can still be allowed. Our numerical results indicate that the resulting $$\Delta m_W$$ Δ m W can easily reach the $$1\sigma $$ 1 σ range of CDF-II $$m_W$$ m W data and the splitting among the triplet VEVs $$\Delta v$$ Δ v ( $$\equiv v_\xi -v_\chi $$ ≡ v ξ - v χ ) can be as small as 0.8 GeV for $$v_\chi \lesssim 15$$ v χ ≲ 15 GeV. We also propose to introduce an additional custodial symmetry breaking source by extending the GM model with a low scale RH neutrino sector, which can adopt the leptogenesis mechanism and allow moderately large coupling strength $$h_{ij}$$ h ij even for triplet VEVs of order GeV. With low scale RH neutrino mass scale of order $$10^2$$ 10 2 – $$10^4$$ 10 4 TeV, the new physics contribution to $$\Delta m_W$$ Δ m W can reach 0.03 GeV and is much larger than that of ordinary GM model. Combining both custodial $$SU(2)_c$$ S U ( 2 ) c symmetry breaking effects, the small misalignment among the triplet VEVs and the moderately large $$h_{ij}$$ h ij couplings allowed with RH neutrino sector, the value of $$\Delta m_W$$ Δ m W can still easily reach the $$1\sigma $$ 1 σ range of CDF-II $$m_W$$ m W data, with a minimum splitting (among the triplet VEVs) approximately 0.7 GeV for $$v_\chi \lesssim 15$$ v χ ≲ 15 GeV. |
| first_indexed | 2024-04-09T19:53:20Z |
| format | Article |
| id | doaj.art-99d5d813399947e49a0a18bc65f2579b |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-09T19:53:20Z |
| publishDate | 2023-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-99d5d813399947e49a0a18bc65f2579b2023-04-03T05:38:01ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-02-0183211310.1140/epjc/s10052-023-11297-1Explaining the CDF-II W-boson mass anomaly in the Georgi–Machacek extension modelsXiao Kang Du0Zhuang Li1Fei Wang2Ying Kai Zhang3School of Physics, Zhengzhou UniversitySchool of Physics, Zhengzhou UniversitySchool of Physics, Zhengzhou UniversitySchool of Physics, Zhengzhou UniversityAbstract Original Georgi–Machacek model can preserve the custodial symmetry at tree level after the electroweak symmetry breaking. Unless additional $$SU(2)_c$$ S U ( 2 ) c custodial symmetry breaking effects are significant, the new physics contributions to $$\Delta m_W$$ Δ m W are always very small. Our numerical results show that ordinary GM model can contribute to $$\Delta m_W$$ Δ m W a maximal amount 0.0012 GeV, which can not explain the new CDF-II anomaly on W boson mass. We propose firstly to introduce small misalignment among the triplet VEVs to increase $$\Delta m_W$$ Δ m W , which can give large new physics contributions to $$\Delta m_W$$ Δ m W . Such slightly misaligned triplet VEVs from custodial symmetry preserving scalar potential can still be allowed. Our numerical results indicate that the resulting $$\Delta m_W$$ Δ m W can easily reach the $$1\sigma $$ 1 σ range of CDF-II $$m_W$$ m W data and the splitting among the triplet VEVs $$\Delta v$$ Δ v ( $$\equiv v_\xi -v_\chi $$ ≡ v ξ - v χ ) can be as small as 0.8 GeV for $$v_\chi \lesssim 15$$ v χ ≲ 15 GeV. We also propose to introduce an additional custodial symmetry breaking source by extending the GM model with a low scale RH neutrino sector, which can adopt the leptogenesis mechanism and allow moderately large coupling strength $$h_{ij}$$ h ij even for triplet VEVs of order GeV. With low scale RH neutrino mass scale of order $$10^2$$ 10 2 – $$10^4$$ 10 4 TeV, the new physics contribution to $$\Delta m_W$$ Δ m W can reach 0.03 GeV and is much larger than that of ordinary GM model. Combining both custodial $$SU(2)_c$$ S U ( 2 ) c symmetry breaking effects, the small misalignment among the triplet VEVs and the moderately large $$h_{ij}$$ h ij couplings allowed with RH neutrino sector, the value of $$\Delta m_W$$ Δ m W can still easily reach the $$1\sigma $$ 1 σ range of CDF-II $$m_W$$ m W data, with a minimum splitting (among the triplet VEVs) approximately 0.7 GeV for $$v_\chi \lesssim 15$$ v χ ≲ 15 GeV.https://doi.org/10.1140/epjc/s10052-023-11297-1 |
| spellingShingle | Xiao Kang Du Zhuang Li Fei Wang Ying Kai Zhang Explaining the CDF-II W-boson mass anomaly in the Georgi–Machacek extension models European Physical Journal C: Particles and Fields |
| title | Explaining the CDF-II W-boson mass anomaly in the Georgi–Machacek extension models |
| title_full | Explaining the CDF-II W-boson mass anomaly in the Georgi–Machacek extension models |
| title_fullStr | Explaining the CDF-II W-boson mass anomaly in the Georgi–Machacek extension models |
| title_full_unstemmed | Explaining the CDF-II W-boson mass anomaly in the Georgi–Machacek extension models |
| title_short | Explaining the CDF-II W-boson mass anomaly in the Georgi–Machacek extension models |
| title_sort | explaining the cdf ii w boson mass anomaly in the georgi machacek extension models |
| url | https://doi.org/10.1140/epjc/s10052-023-11297-1 |
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