Abstract
We address the observed discrepancies in the anomalous magnetic dipole moments (MDM) of the muon and electron by extending the inert two Higgs Doublet Model (2HDM) with SM gauge singlet complex scalar field and singlet Vector-like Lepton (VLL) field. We obtain the allowed parameter space constrained from the Higgs decays to gauge Bosons at LHC, LEP II data and electro-weak precision measurements. The muon and electron MDM’s are then explained within a common parameter space for different sets of allowed couplings and masses of the model particles.
Highlights
The Budapest-Marseille-Wuppertal collaboration [7] has computed the leading hadronic contribution to the muon anomalous magnetic dipole moments (MDM) from lattice QCD and shown that there does not remain any discrepancy with the experiment
We address the observed discrepancies in the anomalous magnetic dipole moments (MDM) of the muon and electron by extending the inert two Higgs Doublet Model (2HDM) with SM gauge singlet complex scalar field and singlet Vector-like Lepton (VLL) field
Computing the precision observables numerically, we find that the allowed parameter space by the Higgs decays and LEP data satisfy the one sigma constraint for ∆S as given in equation (3.14a)
Summary
In order to simultaneously explain the muon and electron magnetic moment anomalies with common set of parameter values, we introduce a Z2 symmetry in generic inert 2HDM which is allowed to be relaxed in the leptonic sector with universal Yukawa couplings. Under Z2 symmetry all the SM particles are assumed to be even whereas, scalar second doublet Φ2 and complex singlet Φ3 are odd. Allow soft breaking of Z2 symmetry by the vector-like lepton mass term and an explicit breaking of Z2 symmetry in the Yukawa Lagrangian LY in order to facilitate coupling of SM leptons with CP odd pseudo-scalars. We have invoked an additional global U(1) symmetry such that Φ3 → ei αΦ3 to reduce the number of free parameters in the scalar potential, which is allowed to be softly broken by the κ term and Yukawa couplings y2 and y3
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