Abstract
We present a minimal left-right symmetric flavor model and analyze the predictions for the neutrino sector. In this scenario, the Yukawa sector is shaped by the dihedral $D_4$ symmetry which leads to correlations for the neutrino mixing parameters. We end up with four possible solutions within this model. We further analyzed the impact of the upcoming long-baseline neutrino oscillation experiment DUNE. Due to its high sensitivity, DUNE will be able to rule out two of the solutions. Finally, the prediction for the neutrinoless double beta decay for the model has also been examined.
Highlights
A number of phenomenal experimental evidences over the past two decades have established the fact that neutrinos oscillate through their propagation path [1,2,3,4], which implies nonzero neutrino masses and mixings
The Yukawa sector is shaped by the dihedral D4 symmetry which leads to correlations for the neutrino mixing parameters
We study the effects of combining a non-Abelian discrete flavor symmetry group D4 with the LR symmetry
Summary
A number of phenomenal experimental evidences over the past two decades have established the fact that neutrinos oscillate through their propagation path [1,2,3,4], which implies nonzero neutrino masses and mixings. The simplest LR symmetric model is dictated by the gauge symmetry group SUð3ÞC ⊗ SUð2ÞL ⊗ SUð2ÞR ⊗ Uð1ÞB−L In this case, the fermion fields have the following charge assignments [18], 1Note here that the neutrino oscillation experiments are sensitive to ðmassÞ2- differences and the possibility of a massless neutrino is not excluded. If the LR breaking scale and the masses of the new scalar fields are of OðTeVÞ, this minimal setup produces sizeable contributions to the lepton flavor violating (LFV) decays, lepton number violation as well as CP violating processes [19,20,21,22,23,24,25] This scenario turns out to be very appealing for the experimental searches among the low-energy LFV processes [26]. Appendix A summarizes the D4 algebra, whereas the necessary equations for the LFV processes are given in Appendix B
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