Anomalous magnetic moment of muon in 3–3–1 models

Abstract

A contribution from new gauge bosons in the SU(3) C ⊗SU(3) L ⊗U(1) N (3 -3 -1) models to the anomalous magnetic moments of the muon is calculated and numerically estimated. In the minimal 3 -3 -1 model, a lower bound on the bilepton mass at a value of 167 GeV is derived. For an expected precision(∼ 4 × 10 −10 ) of the BNL measurements the possible lower bounds on masses of the bileptons in the minimal version and in the version with right-handed neutrinos are around 940 GeV and 250 GeV, respectively.

The muon anomalous magnetic moment in the reduced minimal 3-3-1 model

“…There we clearly see that a scale of symmetry breaking around 2 TeV is favored. Our results are qualitatively consistent with previous works on this topic [14][15][16]22]. Complementary results coming from electroweak precision are discussed [57][58][59].…”

“…In particular, the a μ anomaly has also been investigated in the context of 3-3-1 models [14][15][16][17], all of which have, among other virtues, a requirement that there be at least three generations of SM fermions. Here we will focus on a specific realization of the 3-3-1 gauge symmetry with a smaller fermion and scalar sector known as the reduced minimal 3-3-1 model [18][19][20].…”

A Brief Review on WIMPs in 331 Electroweak Gauge Models

“…Some of the interesting features of these models are, among others, that anomaly cancellation and QCD asymptotic freedom demand that only three family of fermions should be present in the theory, explaining the family problem (Pisano and Pleitez, 1992); electric charge quantization is automatic in these models (Pires and Ravinez, 1998); the tiny neutrino mass can be naturally explained (Dias et al, 2005) in a version of the model where the right handed neutrino is in the same multiplet along with its partners that form the usual doublet under EWSM (Singer et al, 1980;Montero et al, 1993;Valle and Singer, 1983), or even considering effective operators in the minimal model where the third leptonic component is the right handed charged lepton (Pires et al, 2010b); the strong CP problem through Peccei-Quinn mechanism can be implemented, yielding a nonthermal candidate for the CDM problem, the axion (Dias et al, 2003); the Higgs physics probed by LHC can be easily accommodated and also allow for some room to new Physics phenomena (Caetano et al, 2013); the discrepancy between theory and experiment on (g-2) µ can be accounted for in some versions of the model (Pires and Ravinez, 1998;Ky et al, 2000). Besides, it is possible for some versions of 331 model to present a natural CDM candidate as a WIMP (Pires and Silva, 2007;Mizukoshi et al, 2011) and it is this specific topic in the context of 331 models that we want to discuss in this review.…”

Early Universe in the SU(3)_L?(1)_X Electroweak Models

“…The 3-3-1 models have been considered in aspects of collider physics (Cieza Yue et al, 2013;Caetano et al, 2013), muon anomalous magnetic moments (Ky et al, 2000), neutrino physics (Dong et al, 2011), DM (Fregolente and Tonasse, 2003;.... In this review I will concentrate on Early Universe aspects of the models.…”