Exploring Dimuon Higgs Decay in an Extended Scotogenic Model

Abstract

We investigate the dimuon Higgs decay $h\to {\mu }^{+}{\mu }^{-}$ in the context of an extended Scotogenic model. The model introduces a singlet complex scalar in addition to the standard Scotogenic scalar doublet and singlet fermions, charged under a dark ${\mathbb{Z}}_2$ symmetry. By exploring the one-loop contributions, we show that the model allows for sizable deviations in the Higgs dimuon decay rate, quantified by the quotient $R_{\mu \mu }=\text{Br}(h\to {\mu }^{+}{\mu }^{-})/\text{Br}(h\to {\mu }^{+}{\mu }^{-}{)}_{\text{SM}}$. Crucially, these deviations comply with experimental limits, including those on $\text{Br}({\mu }^{+}\to e^{+}\gamma )$ and $\text{Br}(h\to \gamma \gamma )$. Such deviations can be tested and constrained by future precision measurements at the LHC.

Comments: 47 pages, 10 figures