An explanation of experimental data of $(g-2)_{e,μ}$ in 3-3-1 models with inverse seesaw neutrinos

Abstract

We will show that the anomalous magnetic moment experimental data of muon and electron (g − 2) µ,e can be explained simultaneously in simple extensions of the 3-3-1 models consisting of new heavy neutrinos and a singly charged Higgs boson. The heavy neutrinos generate active neutrinos masses and mixing through the general seesaw mechanism. They also have non-zero Yukawa couplings with singly charged Higgs bosons and right-handed charged leptons, which result in large one-loop contributions known as chirally-enhanced ones. Numerical investigation confirms a conclusion indicated previously that these contributions are the key point to explain the large (g − 2) µ,e data, provided that the inverse seesaw mechanism is necessary to allow both conditions that heavy neutrino masses are above few hundred GeV and non-unitary part of the active neutrino mixing matrix must be large enough.

Heavy singly charged Higgs bosons and inverse seesaw neutrinos as origins of large $(g-2)_{e,μ}$ in two higgs doublet models

“…More detailed estimations confirming that the remaining contributions are suppressed were given in Ref. [94]. Finally, a ea,0 (h ± ) = 0 only when the mixing between two SU (2) L doublets and singlets is non-zero s ϕ c ϕ = 0, and their masses are non degenerate m h ± 1 = m h ± 2 .…”

“…Now we consider the case of f H = t −1 β , which corresponds to the models where the RH neutrino singlets couple with Φ 2 , whereas the charged leptons couple with Φ 1 Refs. [57,94]. Now, increasing values of a ea,0 (h ± ) in Eq.…”

Ho Chi Minh City University of Technology (HCMUT); Vietnam National University Ho Chi Minh City (VNU-HCM)

“…[11] without σ ± . The Higgs potential consisting of σ ± was discussed in 3-3-1 models [14,87], in which the detailed calculation to derive Higgs masses and mixing were performed. We collect only the most important results relating to our work.…”

“…It was proved that these original 3-4-1 models can not explain the recent data of the (g − 2) anomaly of muon unless they must be extended such as adding new inert scalars [13]. A solution applied to the 3-3-1 models [14], that adding new singly charged Higgs bosons and inverse seesaw (ISS) neutrinos, is another viable approach. In this work, we will investigate the possibility of whether this approach can work in the 3-4-1 model framework, which can accommodate data of charged lepton anomalies a ea ≡ (g − 2) ea /2, neutrino oscillation data, and the recent bounds of the lepton flavor violating decays of charged leptons (cLFV) e b → e a γ.…”

Large signal of h → µτ within the constraints of e i → e j γ decays in the 3-3-1 model with neutral leptons*

“…The complex part arises from neutrinos and exotic leptons with different mixing mechanisms. With active neutrinos, we can solve their masses and oscillations using seesaw mechanisms [12][13][14][15][16][17][18] or otherwise [19][20][21][22], and with exotic leptons, we make different assumptions for large LFV effects, as given in Refs. [19,20,23].…”