The Muon Magnetic Moment in the TeV Scale Seesaw Models

Abstract

The reported discrepancy of the muon abnormal magnetic moment $a_μ^{}$ has impacts on the low energy phenomenology. In this paper we calculate the corrections to $a_μ$ in the standard model extended by the TeV scale seesaw models. We show that the correction induced by the type-I seesaw model is negative and of the order ${\cal O} (10^{-11})$, which can be neglected compared with $a_μ^{\rm SM}$. The correction induced by the type-II seesaw model, which depends on the mass of the Higgs triplet $m_Δ$ and the Yukawa coupling $Y_Δ$, can be of the order ${\cal O}(10^{-10})$ and compensate for the discrepancy between $a_μ^{\rm SM}$ and $a_μ^{\rm exp}$. The correction induced by the type-III seesaw model is also negative and can be of the order ${\cal O}(10^{-10})$.