Abstract
We discuss $Z$ mediated flavor changing neutral currents within a model where the hierarchical quark and lepton masses are explained via a fourth vectorlike family, together with a scalar sector consisting of two Higgs doublets augmented by a gauge singlet scalar field that spontaneously breaks an extra global $U(1{)}^{\ensuremath{'}}$ symmetry. The $Z$ mediated flavor violating interactions arise from the mixings between the SM fermions and the vectorlike fermions, where the mixing is discussed in an analytic approximation and also exactly numerically. We first discuss charged lepton flavor violating (CLFV) $\ensuremath{\tau}\ensuremath{\rightarrow}\ensuremath{\mu}\ensuremath{\gamma}$, $\ensuremath{\tau}\ensuremath{\rightarrow}3\ensuremath{\mu}$ and $Z\ensuremath{\rightarrow}\ensuremath{\mu}\ensuremath{\tau}$ decays and find that they cannot significantly constrain the masses of charged vectorlike leptons. However, the 790 GeV mass bound arising from collider searches on vectorlike lepton doublets can set further constraints on the model parameter space. We also consider rare $t\ensuremath{\rightarrow}cZ$ decays as well as unitarity violation in the CKM mixing in order to constrain the quark sector of the model under consideration.
Highlights
A great success of the energy frontier is the discovery of the Higgs particle by ATLAS and CMS collaborations at the Large Hadron Collider (LHC) on 4th July 2012 [1,2]
One may consider observables mediated by flavor-changing neutral currents (FCNCs), which are quite sensitive to new physics, since such FCNC observables are extremely suppressed in the Standard Model (SM) due to the well-known Glashow-Illiopoulos-Maiani (GIM) mechanism
Our proposed theory is a minimal extended 2 Higgs doublet model (2HDM) where the SM fermion sector is enlarged by the inclusion of a fourth vectorlike family and the scalar sector is augmented by an extra SUð2Þ scalar doublet and a singlet flavon and lastly the SM gauge symmetry is extended by the Uð1Þ0 global symmetry
Summary
A great success of the energy frontier is the discovery of the Higgs particle by ATLAS and CMS collaborations at the Large Hadron Collider (LHC) on 4th July 2012 [1,2]. Various models with a heavy Z0 boson have received a lot of attention by the particle physics community as a new source of FCNCs, its properties, being not fully constrained, do not lead to definite predictions For this reason we shall restrict ourselves to the SM Z couplings in this paper. The SM W contributions to the CKM mixing matrix with the extended quark sector are studied for the first time in this work In order for these effects to be considered reliably, the mass matrices of each fermion sector are accurately diagonalized, both numerically and analytically, unlike the previous work where simple approximations were used which masked the effects we consider here. The comparison between the numerical and approximate analytic diagonalization of the mass matrices for charged leptons and quarks is made in Appendixes D and E, respectively
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