Abstract

The models based on SU(3)C × SU(3)L × U(1)X gauge symmetry (331-models) have been advocated to explain the number of fermion families. These models place one quark family to a different representation than the other two. The traditional 331-models are plagued by scalar mediated quark flavour changing neutral currents (FCNC) at tree- level. So far there has been no concrete mechanisms to suppress these FCNCs in 331- models. Recently it has been shown that the Froggatt-Nielsen mechanism can be incorporated into the 331-setting in an economical fashion (FN331-model). The FN331-model explains both the number of fermion families in nature and their mass hierarchy simultaneously. In this work we study the Higgs mediated quark FCNCs in FN331-model. The flavour violating couplings of quarks are suppressed by the ratio of the SU(2)L × U(1)Y and SU(3)L × U(1)X breaking scales. We find that the SU(3)L × U(1)X -breaking scale can be as low as 5 TeV in order to pass the flavour bounds.

Highlights

  • The Standard Model of particle physics (SM) [1]–[3] has been enormously successful in explaining experimental results

  • We find the flavour changing neutral currents (FCNC) to be naturally suppressed in FN331-model

  • The Froggatt-Nielsen mechanism serves a purpose, other than that of generating the fermion mass hierarchy: the scalar mediated flavour changing neutral currents are in part suppressed due to the FN-mechanism

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Summary

Introduction

The Standard Model of particle physics (SM) [1]–[3] has been enormously successful in explaining experimental results. The FN331-model uses the existing scalar content of a 331-model to emulate the flavon in the Froggatt-Nielsen mechanism, in contrast to the FN mechanism in SM where the scalar sector has to be extended This is interesting since the 331-models can explain the number of fermion families. The scalar sector in those models is quite complicated, since the generation of masses to all of the charged fermions at tree-level requires three scalar triplets and one scalar sextet These models contain particles with exotic electric charges, such as doubly charged bosons and quarks with electric charges ±5/3 and ±4/3. The FN331-model employs the FN mechanism for the generation of the Yukawa couplings and the form of the fermion diagonalization matrices is known This allows us to study the flavour violating Yukawa couplings of quarks in great detail.

Particle content
Fermion representations
Scalar sector
Gauge sector The covariant derivative for triplet is
Scalar masses
CP-even scalars
CP-odd scalars
Charged scalars
Froggatt-Nielsen mechanism
Review of the original Froggatt-Nielsen framework
The Froggatt-Nielsen mechanism in the 331-framework
Yukawa couplings and fermion masses
Charged lepton Yukawa couplings and masses
Neutrino Yukawa couplings and masses
Up-type quark Yukawa couplings and masses
Down-type quark Yukawa couplings and masses
The scalar FCNCs
FCNC’s mediated by Higgs
Suppression of FCNCs by FN mechanism
Higgs mediated neutral meson mixing
Tree-level
Numerical examples
Example 1
Example 2
Example 3
Conclusion
Neutral gauge bosons
B Charged currents
C Additional contributions to the quark Yukawa-interactions
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