Right-handed currents produced by mixing inE6theories

We explore the possibility that leptonic right-handed currents (RHC’s) can arise in ${\mathrm{E}}_6$ theories with Dirac neutrinos due to mixing between the ordinary fermions and new, exotic fermions in the 27 representation. These RHC’s can lead to an additional, potentially large, contribution to the electron and muon anomalous magnetic moments (g-2), and can produce a large magnetic moment (κ) for Dirac ${\nu }_e$ and ${\nu }_{\mu }$, as well as new phenomenology. The constraints on the existence of RHC’s from μ decay and the size of g-2 in addition to reactor accelerator, and astrophysical constraints on κ can be used to tightly constrain the model parameters.