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

TL;DR

This paper proposes a radiative neutrino mass model involving an SU(2) septet scalar, analyzing its implications for neutrino masses, lepton flavor violations, muon g-2, Higgs decays, and collider signatures at the LHC.

Contribution

Introduction of a novel SU(2) septet scalar model that explains neutrino masses and predicts observable collider signatures and lepton flavor violation effects.

Findings

Sizable muon g-2 explained by the model

Approximately 1% branching ratio for h → μτ predicted

Potential discovery of quadratically charged scalars up to 1.5 TeV at LHC

Abstract

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.