Probing neutrino and Higgs sectors in $$\text{ SU(2) }_1 \times \text{ SU(2) }_2 \times \text{ U(1) }_Y $$ SU(2) 1 × SU(2) 2 × U(1) Y model with lepton-flavor non-universality

Abstract

The neutrino and Higgs sectors in the SU(2) 1 × SU(2) 2 × U(1) Y model with lepton-flavor non-universality are discussed. We show that active neutrinos can get Majorana masses from radiative corrections, after adding only new singly charged Higgs bosons. The mechanism for the generation of neutrino masses is the same as in the Zee models. This also gives a hint to solving the dark matter problem based on similar ways discussed recently in many radiative neutrino mass models with dark matter. Except the active neutrinos, the appearance of singly charged Higgs bosons and dark matter does not affect significantly the physical spectrum of all particles in the original model. We indicate this point by investigating the Higgs sector in both cases before and after singly charged scalars are added into it. Many interesting properties of physical Higgs bosons, which were not shown previously, are explored. In particular, the mass matrices of charged and CP-odd Higgs fields are proportional to the coefficient of triple Higgs coupling μ. The mass eigenstates and eigenvalues in the CP-even Higgs sector are also presented. All couplings of the SM-like Higgs boson to normal fermions and gauge bosons are different from the SM predictions by a factor c h , which must satisfy the recent global fit of experimental data, namely 0.995 < |c h | < 1. We have analyzed a more general diagonalization of gauge boson mass matrices, then we show that the ratio of the tangents of the W -W and Z -Z mixing angles is exactly the cosine of the Weinberg angle, implying that number of parameters is reduced by 1. Signals of new physics from decays of new heavy fermions a e-mail: lthue@iop.vast.vn b e-mail: arbuzov@theor.jinr.ru c e-mail: ntkngan@ctu.edu.vn d e-mail: hoangngoclong@tdt.edu.vn (corresponding author) and Higgs bosons at LHC and constraints of their masses are also discussed.

From the Trees to the Forest: A Review of Radiative Neutrino Mass Models

“…All of the models with additional VEV insertions rely on the breaking of a symmetry: left-right symmetry [229][230][231], a more general SU (2) 1 × SU (2) 2 symmetry [232], a flavor symmetry [233][234][235], U (1) B−L [236], and dilation symmetry [237]. All these models lead to the operator O 2 .…”

General one-loop formulas for decay $$h\rightarrow Z\gamma $$ h → Z γ

“…The Feynman rules used in our calculations are listed in Table 1. We found them to appear commonly in many gauge extensions of the SM, for example in the models constructed from the following electroweak gauge symmetries: [48][49][50][51][52][53], where an important relation g Z γ V i j = e Q g Z V i j is valid. It results in that many compli-cated terms containing dangerous divergences in two contributions from diagrams 5 and 6 in Fig.…”

Constraints on the charged Higgs bosons from the 221 LFNU model

“…´( ) ( ) ( ) model with lepton flavor non-universality [2], called 221 LFNU model in this paper, is an interesting one. Reference [3] shows that the 221 LFNU model can give active neutrinos suitable masses via the Zee mechanism [4] but keep the same ranges of parameters for the corrected model, while the cost is to introduce additional charged Higgs bosons with new free parameters which are not discussed carefully in [2,3].…”

“…The 221 LFNU model [3] predicts the existences of two kinds of charged Higgs bosons h 1  and h 2  , which transform as singlets under the SU(2) groups. In contrast to h 1  , h 2  mainly couple with leptons and Higgs bosons.…”

“…This article aims to estimate these contributions. In the allowed regions of the free parameters given in [2,3], we calculate the contributions of the charged Higgs bosons h 2  to the ℓ ℓ i j nn  and ℓ ℓ i j g  decays where ℓ i , ℓ j =e, μ or τ, and extract the constraints on the factor f ij | |/M h by combining the current experimental measurements. Contributions to the muon anomalous magnetic moment a μ and non-standard interactions (NSI) of neutrinos are also discussed.…”