Fermion spectrum and $$g-2$$ anomalies in a low scale 3-3-1 model

Abstract

We propose a renormalizable theory based on the $$SU(3)_C\times SU(3)_L\times U(1)_X$$ S U ( 3 ) C × S U ( 3 ) L × U ( 1 ) X gauge symmetry, supplemented by the spontaneously broken $$U(1)_{L_g}$$ U ( 1 ) L g global lepton number symmetry and the $$S_3 \times Z_2 $$ S 3 × Z 2 discrete group, which successfully describes the observed SM fermion mass and mixing hierarchy. In our model the top and exotic quarks get tree level masses, whereas the bottom, charm and strange quarks as well as the tau and muon leptons obtain their masses from a tree level Universal seesaw mechanism thanks to their mixing with charged exotic vector like fermions. The masses for the first generation SM charged fermions are generated from a radiative seesaw mechanism at one loop level. The light active neutrino masses are produced from a loop level radiative seesaw mechanism. Our model successfully accommodates the experimental values for electron and muon anomalous magnetic dipole moments.

Electron and muon $g-2$ anomalies in general flavour conserving two Higgs doublets models

“…In particular, many popular models in which the anomaly scales with the square of the lepton mass [10] tend to generate too large δa e with the wrong sign. Some authors [11] argue that if the origin of both anomalies is beyond the SM, the corresponding model must incorporate some sort of effective decoupling between µ and e. Recent beyond-SM explanations of both anomalies can be found in [12][13][14][15][16][17][18][19][20][21][22]. A minimal extension of the SM is the two Higgs doublets model (2HDM) [23] which introduces, in general, a new set of flavour structures in the Yukawa sector.…”

Leptonic g − 2 anomaly in an extended Higgs sector with vector-like leptons

“…Various attempts for simultaneous explanation of the leptonic anomalous magnetic moment anomalies have been made in the past several years [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26]. Models with axionlike particles (ALP) [16], lepto-quarks [27,[30][31][32], vector-like leptons (VLL) [33][34][35][36][37][38][39] and super-symmetric models [28,29,[40][41][42] have been employed with varying success to explain the anomaly.…”

Magnetic Moments of Leptons, Charged Lepton Flavor Violations and Dark Matter Phenomenology of a Minimal Radiative Dirac Neutrino Mass Model

“…More importantly, here the measured value is lower than the corresponding SM prediction. Following the improved estimates, specially in the evaluation of a e , attempts have been made to link the both discrepancies with a common new physics origin [72][73][74][75][76][77][78][79][80][81][82][83][84][85].…”