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 $SU(2{)}_c$ custodial symmetry breaking effects are significant, the new physics contributions to $\Delta m_W$ are always very small. Our numerical results show that ordinary GM model can contribute to $\Delta m_W$ 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 $\Delta m_W$, which can give large new physics contributions to $\Delta m_W$. Such slightly misaligned triplet VEVs from custodial symmetry preserving scalar potential can still be allowed. Our numerical results indicate that the resulting $\Delta m_W$ can easily reach the $1\sigma$ range of CDF-II $m_W$ data and the splitting among the triplet VEVs $\Delta v$($\equiv v_{\xi }-v_{\chi }$) can be as small as $0.8$ GeV for $v_{\chi }\lesssim 15$ 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 $h_{ij}$ even for triplet VEVs of order GeV. With low scale RH neutrino mass scale of order $10^2\sim 10^4$ TeV, the new physics contribution to $\Delta m_W$ can reach $0.03$ GeV and is much larger than that of ordinary GM model. Combining both custodial $SU(2{)}_c$ symmetry breaking effects, the small misalignment among the triplet VEVs and the moderately large $h_{ij}$ couplings allowed with RH neutrino sector, the value of $\Delta m_W$ can still easily reach the $1\sigma$ range of CDF-II $m_W$ data, with a minimum splitting (among the triplet VEVs) approximately $0.7$ GeV for $v_{\chi }\lesssim 15$ GeV.

21 pages, 4 figures; version accepted for publication in EPJC

References in corpus (17)

• A portrait of the Higgs boson by the CMS experiment ten years after the discovery
• A detailed map of Higgs boson interactions by the ATLAS experiment ten years after the discovery
• The decoupling limit in the Georgi-Machacek model
• Electroweak Precision Fit and New Physics in light of $W$ Boson Mass
• Indirect constraints on the Georgi-Machacek model and implications for Higgs couplings
• Higgs couplings in a model with triplets
• Low energy SUSY confronted with new measurements of W-boson mass and muon g-2
• Revisiting Theories with Enhanced Higgs Couplings to Weak Gauge Bosons
• Electroweak Phase Transition in Georgi-Machacek Model
• Higgs physics confronts the $M_W$ anomaly
• Correlating Gravitational Waves with $W$-boson Mass, FIMP Dark Matter, and Majorana Seesaw Mechanism
• The W boson mass weighs in on the non-standard Higgs
• Explanation of the $W$ mass shift at CDF II in the Georgi-Machacek Model
• Muon $g-2$ in a two-Higgs-doublet model with a type-II seesaw mechanism
• Radiative corrections to Higgs couplings with weak gauge bosons in custodial multi-Higgs models
• Vacuum structure of the ${\mathbb{Z}}_2$ symmetric Georgi-Machacek model
• Seesaw Models with Minimal Flavor Violation

Cited by in corpus (12)

• The oblique parameters in the 2HDM with Vector-Like Quarks: Confronting $M_W$ CDF-II Anomaly
• $Z$ boson mixing and the mass of the $W$ boson
• Interpretation of 95 GeV Excess within the Georgi-Machacek Model in Light of Positive Definiteness Constraints
• CDF-II W boson mass in the Dirac Scotogenic model
• The $\rho$ parameter and the CDF W-mass anomaly: observations on the role of scalar triplets
• Charged Higgs decay to $W^{\pm }$ and heavy neutral Higgs decaying into ${\tau }^{+}{\tau }^{-}$ in Georgi Machacek Model at LHC
• $E_6$ Models in Light of Precision $M_W$ Measurements
• Higgs Quadruplet Impact on $W$ Mass Shift, Dark Matter, and LHC Signatures
• Triplet fermion WIMP dark matter in the general supersymmetric Georgi-Machacek model
• Accommodating the CDF W-boson Mass Measurement in the Beautiful Mirror Model
• W boson mass in the NP models with extra $U(1)$ gauge group
• Positive definiteness constraints of effective scalar potential in Georgi-Machacek Model