论文标题
在Georgi-Machacek扩展模型中解释CDF-II W-Boson质量异常
Explaining The CDF-II W-Boson Mass Anomaly in the Georgi-Machacek Extension Models
论文作者
论文摘要
原始的Georgi-Machacek模型可以在电动对称性破裂后在树层保持托管对称性。除非其他$ su（2）_c $托管对称破坏效果很重要，否则对$ΔM_W$的新物理贡献总是很小。我们的数值结果表明，普通的GM模型可以贡献$ΔM_W$ a最大金额$ 0.0012 $ GEV，这无法解释W Boson质量上新的CDF-II异常。我们首先建议在三胞胎VEV中引入小额不对对准，以增加$ΔM_W$，这可以为$ΔM_W$提供大量的新物理贡献。仍然允许从保管对称性的标量电势中稍微略微错位的三胞胎VEV。我们的数值结果表明，所产生的$Δm_w$很容易达到$1σ$范围的CDF-II $ M_W $数据，并且在Triplet VEVS $ΔV$（$ \ equiv equiv v_p_ en吻合v_χ$）之间的分裂可以小于$ v_的$v_χ\\ sillysim simsim 15 $ 15 $ 15 $ gev。我们还建议通过使用低尺度RH Neutrino部门扩展GM模型来引入额外的托管对称性破坏来源，该模型可以采用瘦素生成机制，并允许中等大的耦合强度$ h_ {ij} $，即使对于订单GEV的三胞胎VEV。对于低尺度的RH Neutrino质量规模$ 10^2 \ sim 10^4 $ TEV，新物理学对$ΔM_W$的贡献可能达到$ 0.03 $ GEV，并且比普通GM型号大得多。结合两种托管$ su（2）_c $对称破坏效果，三胞胎VEVS之间的微小不一致以及与RH Neutrino行业允许的中小inino行业相结合的中等范围的$ h_ {ij} $耦合，价值$ΔM_W$仍然可以轻松地与Cdf-ii $ M_W $ $ M_W的范围划分的$1σ$ range（ $v_χ\ lyssim 15 $ gev的GEV。
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 $Δm_W$ are always very small. Our numerical results show that ordinary GM model can contribute to $Δm_W$ 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 $Δm_W$, which can give large new physics contributions to $Δm_W$. Such slightly misaligned triplet VEVs from custodial symmetry preserving scalar potential can still be allowed. Our numerical results indicate that the resulting $Δm_W$ can easily reach the $1σ$ range of CDF-II $m_W$ data and the splitting among the triplet VEVs $Δv$($\equiv v_ξ-v_χ$) can be as small as $0.8$ GeV for $v_χ\lesssim 15$ 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 $Δm_W$ 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 $Δm_W$ can still easily reach the $1σ$ range of CDF-II $m_W$ data, with a minimum splitting (among the triplet VEVs) approximately $0.7$ GeV for $v_χ\lesssim 15$ GeV.
