The Muon Magnetic Moment in the TeV Scale Seesaw Models

Abstract

The reported discrepancy of the muon abnormal magnetic moment $a_{\mu }^{}$ has impacts on the low energy phenomenology. In this paper we calculate the corrections to $a_{\mu }$ 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 $\mathcal{O}(10^{-11})$, which can be neglected compared with $a_{\mu }^{\mathrm{SM}}$. The correction induced by the type-II seesaw model, which depends on the mass of the Higgs triplet $m_{\Delta }$ and the Yukawa coupling $Y_{\Delta }$, can be of the order $\mathcal{O}(10^{-10})$ and compensate for the discrepancy between $a_{\mu }^{\mathrm{SM}}$ and $a_{\mu }^{\exp }$. The correction induced by the type-III seesaw model is also negative and can be of the order $\mathcal{O}(10^{-10})$.

12 pages, 3 figures

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