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(g−2)μ,e and the ANITA anomalous events in a three-loop neutrino mass model

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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.

Keywords: anomalous events; ensuremath; three loop; loop neutrino; mass model; neutrino mass

Journal Title: Physical Review D
Year Published: 2019

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