\begin{document}$ g-2 $\end{document}) that introduces several \begin{document}$ S U(2)_L $\end{document} multiplet fields without any additional symmetries. The neutrino mass matrix is simply induced via a type-II seesaw scenario in terms of \begin{document}$ S U(2)_L $\end{document} triplet Higgs with \begin{document}$ U(1)_Y $\end{document} hypercharge 1. In addition, we introduce an \begin{document}$ S U(2)_L $\end{document} quartet vector-like fermion with hypercharge \begin{document}$ 1/2 $\end{document} and scalar with hypercharge \begin{document}$ 3/2 $\end{document}. The quartet fermion plays a crucial role in explaining muon \begin{document}$ g-2 $\end{document} causing the chiral flip inside a loop diagram with the mixing of triplet and quartet scalar bosons via the standard model Higgs. We conduct a numerical analysis and search for the allowed region in our parameter space and demonstrate the collider physics."> Muon <i>g</i> − 2 with <i>SU</i>(2)<sub><i>L</i></sub> multiplets -
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