English

$SU(3)_C\times SU(3)_L\times U(1)_X$ model from $SU(6)$

High Energy Physics - Phenomenology 2020-11-23 v3

Abstract

We propose the SU(3)C×SU(3)L×U(1)XSU(3)_C\times SU(3)_L\times U(1)_X model arising from SU(6)SU(6) breaking. One family of the Standard Model (SM) fermions arises from two 6ˉ\bar{6} representations and one 1515 representation of SU(6)SU(6) gauge symmetry. To break the SU(3)C×SU(3)L×U(1)XSU(3)_C\times SU(3)_L\times U(1)_X gauge symmetry down to the SM, we introduce three SU(3)LSU(3)_L triplet Higgs fields, where two of them come from the 6ˉ\bar{6} representation while the other one from the 1515 representation. We study the gauge boson masses and Higgs boson mass in detail, and find that the vacuum expectation value (VEV) of the Higgs field for SU(3)L×U(1)XSU(3)_L\times U(1)_X gauge symmetry breaking is around 10 TeV. The neutrino masses and mixing can be generated via the littlest inverse seesaw mechanism. In particular, we have normal hierarchy for neutrino masses and the lightest active neutrino is massless. Also, we consider constraints from the charged lepton flavor changing decays as well. Furthermore, introducing two SU(3)LSU(3)_L adjoint fermions, one SU(3)CSU(3)_C adjoint scalar, and one SU(3)LSU(3)_L triplet scalar, we can achieve gauge coupling unification within 1\%. These extra particles can provide a dark matter candidate as well.

Keywords

Cite

@article{arxiv.1911.09551,
  title  = {$SU(3)_C\times SU(3)_L\times U(1)_X$ model from $SU(6)$},
  author = {Tianjun Li and Junle Pei and Fangzhou Xu and Wenxing Zhang},
  journal= {arXiv preprint arXiv:1911.09551},
  year   = {2020}
}