SU(3)c⊗SU(3)L⊗U(1

Abstract

A detailed and general study of the fermionic structure of the 331 models with β arbitrary is carried out based on the criterion of cancellation of anomalies. We consider models with an arbitrary number of lepton and quark generations, but requiring to associate only one lepton and one quark SU (3) L multiplet for each generation, and at most one right-handed singlet per each left-handed fermion. We see that the number of quark left-handed multiplets must be three times the number of leptonic left-handed multiplets. Furthermore, we consider a model with four families and β = −1/ √ 3 where the additional family corresponds to a mirror fermion of the third generation of the Standard Model. We also show how to generate ansatzs about the mass matrices of the fermions according to the phenomenology. In particular, it is possible to get a natural fit for the neutrino hierarchical masses and mixing angles. Moreover, by means of the mixing between the third quark family and its mirror fermion, a possible solution for the A b F B discrepancy is obtained.

A variant of 3-3-1 model for the generation of the SM fermion mass and mixing pattern

“…The right handed SM quarks, i.e., U iR and D iR (i = 1, 2, 3) and right handed exotic quarks, i.e., T R and J nR (n = 1, 2) are assigned to be SU(3) L singlets with U(1) X quantum numbers equal to their electric charges. Furthermore, the requirement of chiral anomaly cancellation constrains the leptons to the following SU(3) C × SU(3) L × U(1) X left-and right-handed representations [96,101,145]:…”

“…The third generation non SM right handed quark T R has a U(1) X -charge given by X T R = , the cancellation of chiral anomalies implies that quarks are unified in the following SU(3) C × SU(3) L × U(1) X left-and right-handed representations [96,101,145,146]:…”

The Revival of Kaon Flavour Physics

“…Extensive recent analyses in these models can be found in [41,42,[51][52][53]. References to earlier analyses of flavour physics in 331 models can be found there and in [54,55].…”

Supersymmetric reduced minimal 3-3-1 model

“…As the selectrons and the gauginos get their masses due the soft terms given in Eqs. (32,33), it allows us to draw the diagram of Fig.1 that gives contribution to the electron mass. Therefore, at the one loop correction the electron mass is given by:…”

“…Some others interesting supersymmetric extensions of the 3-3-1 models were presented in Ref. [31,32,33,34,35].…”