Exploring Dimuon Higgs Decay in an Extended Scotogenic Model

Abstract

We investigate the dimuon Higgs decay $h\to \hat{I}{¼}^{+}\hat{I}{¼}^{-}$ 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 $R_{\hat{I}¼\hat{I}¼}=\text{Br}(h\to \hat{I}{¼}^{+}\hat{I}{¼}^{-})/\text{Br}(h\to \hat{I}{¼}^{+}\hat{I}{¼}^{-}{)}_{\text{SM}}$. Crucially, these deviations comply with experimental limits, including those on $\text{Br}(\hat{I}{¼}^{+}\to e^{+}{\hat{I}}^3)$ and $\text{Br}(h\to {\hat{I}}^3{\hat{I}}^3)$. Such deviations can be tested and constrained by future precision measurements at the LHC.

47 pages, 10 figures