Phenomenology of a three-family model with gauge symmetry SU(3)_c X SU(4)_L X U(1)_X

Abstract

We study an extension of the gauge group SU(3)_c X SU(2)_L X U(1)_Y of the standard model to the symmetry group SU(3)_c X SU(4)_L X U(1)_X (3-4-1 for short). This extension provides an interesting attempt to answer the question of family replication in the sense that models for the electroweak interaction can be constructed so that anomaly cancellation is achieved by an interplay between generations, all of them under the condition that the number of families must be divisible by the number of colours of SU(3)_c. This method of anomaly cancellation requires a family of quarks transforming differently from the other two, thus leading to tree-level flavour changing neutral currents (FCNC) transmitted by the two extra neutral gauge bosons $Z^{\prime }$ and $Z^{\prime \prime }$ predicted by the model. In a version of the 3-4-1 extension, which does not contain particles with exotic electric charges, we study the fermion mass spectrum and some aspects of the phenomenology of the neutral gauge boson sector. In particular, we impose limits on the $Z-Z^{\prime }$ mixing angle and on the mass scale of the corresponding physical new neutral gauge boson $Z_2$, and establish a lower bound on the mass of the additional new neutral gauge boson $Z^{\prime \prime }\equiv Z_3$. For the analysis we use updated precision electroweak data at the Z-pole from the CERN LEP and SLAC Linear Collider, and atomic parity violation data. The mass scale of the additional new neutral gauge boson $Z_3$ is constrained by using updated experimental inputs from neutral meson mixing in the analysis of the sources of FCNC in the model. The data constrain the $Z-Z^{\prime }$ mixing angle to a very small value of O(0.001), and the lower bounds on $M_{Z_2}$ and on $M_{Z_3}$ are found to be of O(1 TeV) and of O(7 TeV), repectively.

22 pages, 6 tables, 1 figure. To appear in J. Phys. G: Nuclear and Particle Physics

References in corpus (14)

• Observation of Bs-Bsbar Oscillations
• Direct Limits on the Bs Oscillation Frequency
• Rare and CP-Violating K and B Decays in the Littlest Higgs Model with T-Parity
• D-Dbar mixing and new physics: general considerations and constraints on the MSSM
• Z' and the Appelquist-Carrazzone decoupling
• Flavor Changing Neutral Current Effects and CP Violation in the Minimal 3-3-1 Model
• Systematic study of the SU(3)_c X SU(4)_L X U(1)_X gauge symmetry
• Charm as a domain wall fermion in quenched lattice QCD
• $S{U}_L(4)\times U(1)$ model for electroweak unification and sterile neutrinos
• SU(4)_L X U(1)_X three-family model for the electroweak interaction
• The Electric Charge Assignment in $SU(4{)}_L\otimes U(1{)}_Y$ Gauge Models
• Boson mass spectrum in $SU(4{)}_L\otimes U(1{)}_Y$ model with exotic electric charges
• Effects of quark family nonuniversality in SU(3)_c X SU(4)_L X U(1)_x models
• A supersymmetric 3-4-1 model

Cited by in corpus (8)

• The electroweak theory based on SU(4)_L X U(1)_X gauge group
• Dimension-five effective operators in electro-weak SU(4)xU(1) gauge models
• FCNC, CP violation and implications for some rare decays in an SU(4)_L X U(1)_X extension of the standard model
• Electric charge quantization in SU(3)XSU(4)XU(1) models
• Implementing inverse seesaw mechanism in SU(3)xSU(4)xU(1) gauge models
• $SU(5{)}_L\times U(1{)}_Y$ electroweak unification
• Weak charges in $SU(5{)}_L\times U(1{)}_Y$ gauge models
• Weak charges quantization in $SU(3{)}_c\otimes SU(n{)}_L\otimes U(1{)}_Y$ gauge models