The Higgs boson decay $h \to bs$ in the Generational Three-Higgs-Doublet Model

Abstract

The Generational Three-Higgs-Doublet Model (G3HDM) extends the Standard Model (SM) by three Higgs doublets, which couple separately to different generations of quarks and charged leptons, and consequently make significant contributions to the neutral flavor-changing processes. Considering the latest experimental constraints on $125\mathrm{GeV}$ Higgs signals, electroweak precision observables, neutral-meson mixing, and the rare decay processes $B\to X_s\gamma$ and $B_s^0\to\mu^+\mu^-$, we perform a systematic analysis of the processes $h \to bs$ predicted in the G3HDM. This process is strongly suppressed by the loop factor in the SM, hence any observation of $h \to bs$ in the near future provides a sensitive probe of physics beyond the SM. Finally, the constraints on the parameter space and the experimental testability of G3HDM through observation $h \to bs$ are presented.