An $SU(2)_L$ Septet Scalar Linking to Radiative Neutrino Model

We study a radiative neutrino model with a SU(2) septet scalar with hypercharge $Y=2$ where active neutrino mass is induced at a one-loop level. Calculating a one-loop diagram, mass matrices for active neutrino is derived. We also analyze lepton flavor violations, anomalous magnetic moment of muon and the flavor violating Higgs decay $h \to \mu \tau$. Then sizable muon $g-2$ and $\sim 1 \%$ of $BR(h \to \mu \tau)$ could be obtained in our set up. Furthermore, the collider signature of the septet is discussed where we focus on quadratically charged scalar at the LHC 14 TeV. We find that it could be discovered up to $1.5$ TeV mass by searching multi charged lepton signal events.