Abstract
The flipped trinification, a framework for unifying the 3-3-1 and left-right symmetries, has recently been proposed in order to solve profound questions, the weak parity violation and the number of families, besides the implication for neutrino mass generation and dark matter stability. In this work, we argue that this gauge-completion naturally provides flavor-changing neutral currents in both quark and lepton sectors. The quark flavor changing happens at the tree-level due to the nonuniversal couplings of $Z'_{L,R}$, while the lepton flavor changing $l\rightarrow l'\gamma$ starts from the one loop level contributed significantly by the new charged currents of $Y_{L,R}$, which couple ordinary to exotic leptons. These effects disappear in the minimal left-right model, but are present in the framework characterizing a flipped trinification symmetry.
Highlights
The experiments of neutrino oscillations caused by nonzero small neutrino masses and flavor mixing have provided the most important evidence that proves the new physics beyond the standard model [1]
The compelling way to address the neutrino masses is to introduce right-handed neutrinos into the standard model, by which the neutrino mass generation is done by seesaw mechanisms [2]
The pioneering model that recognizes the seesaw mechanisms is the minimal left-right symmetric model [3], in which the neutrino masses were predicted before the experimental confirmations
Summary
The experiments of neutrino oscillations caused by nonzero small neutrino masses and flavor mixing have provided the most important evidence that proves the new physics beyond the standard model [1]. As the minimal left-right gauge symmetry is enlarged to trinification, the model predicts new non-Hermitian gauge bosons YL;R that couple charged leptons to new heavy leptons. This is the main source for charged LFV processes l → l0γ that are mediated by YL;R in one-loop corrections, since the new leptons mix. The flipped trinification has scalar fields that couple both charged leptons and flavor change This leads to tree-level charged LFV processes such as τ → 3μð3eÞ, μ → 3e, and so forth.
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