The most recent measurement of the fine structure constant leads to a $2.4\ensuremath{\sigma}$ deviation in the electron anomalous magnetic moment ${g}_{e}\ensuremath{-}2$, while the muon anomalous magnetic moment ${g}_{\ensuremath{\mu}}\ensuremath{-}2$ has a… Click to show full abstract
The most recent measurement of the fine structure constant leads to a $2.4\ensuremath{\sigma}$ deviation in the electron anomalous magnetic moment ${g}_{e}\ensuremath{-}2$, while the muon anomalous magnetic moment ${g}_{\ensuremath{\mu}}\ensuremath{-}2$ has a long-standing $3.7\ensuremath{\sigma}$ deviation in the opposite direction. We show that these deviations can be explained in a three-loop neutrino mass model based on an ${E}_{6}$ Grand Unified Theory. We also study the impact such a model can have on the anomalous events observed by the ANITA experiment and find an insufficient enhancement of the event rate.
               
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