The Phenomenological Study Of Local U（1）_Lμ-LτModels With Vector-like Leptons

In recent years,with the continuous improvement of the accuracy of high-energy particle physics experiments,more and more new results are presented to us.Excitingly,there is an undeniable difference between the latest experimental results and the theoretical predictions of the standard model,which strongly suggests the existence of new physics beyond the standard model.Focusing on the latest measurement results,this paper proposes a local U(1)Lμ-Lτ model with vector-like leptons to explain the W boson mass and muon anomalous magnetic moment,and the scalar dark matter particles predicted by the model give the correct relic density of dark matter.In this paper we introduce a local U(1)Lμ-Lτ extension of the standard model.In addition to the standard model particels,this model predicts a gauge boson Z’ correspondind to the U(1)Lμ-Lτ,three vector-like leptons(E1,E2,N),and a scalar S(breaking U(1)Lμ-Lτ),a scalar dark matter XI and its partner XR.Next,we discuss in detail the oblique parameter,the W boson mass,the muon anomalous magnetic moment,the diphoton signal data of the 125GeV Higgs,and the dark matter observables for the model.We find that in order to explain the experimental results of the CDF collaboration on the mass of W boson,it is required that there is mixing of charged vector-like leptons,and there is mass splitting between vector-like leptons.The appropriate difference between mE1(SL)and ME2(SR)can explain the muon anomalous magnetic moment,in addition,the diphoton signal data of the 125 GeV Higgs can also provide strong constraints.Combining W boson mass,muon anomalous magnetic moment and other related constraints,the correct dark matter relic density is mainly obtained in the following two different scenarios:(1)XIXI→Z’Z’,SS for mZ’(mS)<mXI and(2)the co-annihilation processes for min(mE1,mE2,mXR,mN)close to mXI.Finally,we use the direct searches for 2l+ETmiss event at the Large Hadron Collider to constrain the model,and show the allowed mass ranges of the vector-like leptons and dark matter.