Quasi-Dirac neutrinos in a model with local<i>B</i>−<i>L</i>symmetry

Abstract

In a model with $B-L$ gauge symmetry, right-handed neutrinos may have exotic\nlocal $B-L$ charge assignment: two of them with $B-L=-4$ and the other one\nhaving $B-L=5$. Then, it is natural to accommodate the right-handed neutrinos\nwith the same $B-L$ charge in a doublet of the discrete $S_3$ symmetry, and the\nthird one in a singlet. If the Yukawa interactions involving right-handed\nneutrinos are invariant under $S_3$, the quasi-Dirac neutrino scheme arise\nnaturally in this model. However, we will show how in this scheme it is\npossible to give a value for $\\theta_{13}$ in agreement with the Daya Bay\nresults. For example the $S_3$ symmetry has to be broken in the Yukawa\ninteractions involving right-handed charged lepton.\n