Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2008-06-05
Physics
High Energy Physics
High Energy Physics - Phenomenology
12 pages, 3 figures
Scientific paper
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 ${\cal O} (10^{-11})$, which can be neglected compared with $a_\mu^{\rm SM}$. 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 ${\cal O}(10^{-10})$ and compensate for the discrepancy between $a_\mu^{\rm SM}$ and $a_{\mu}^{\rm exp}$. The correction induced by the type-III seesaw model is also negative and can be of the order ${\cal O}(10^{-10})$.
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