Abstract
We investigate the possible size of $h\to bs$ in two-Higgs-doublet models with generic Yukawa couplings. Even though the corresponding rates are in general expected to be small due to the indirect constraints from $B_s\to\mu^{+}\mu^{-}$ and $B_s$--$\overline{B}_s$ mixing, we find regions in parameter space where $h\to bs$ can have a sizable branching ratio well above 10\%. This requires a tuning of the neutral scalar masses and their couplings to muons, but then all additional constraints such as $B\to X_s \gamma$, $(g-2)_\mu$, and $h\to\mu^{+}\mu^{-}$ are satisfied. In this case, $h\to bs$ can be a relevant background in $h\to b\bar{b}$ searches and vice versa due to the imperfect $b$-tagging purity. Furthermore, if $h\to bs$ is sizeable, one expects two more scalar resonances in the proximity of $m_h$. We briefly comment on other flavour violating Higgs decays and on the 95 GeV $\gamma\gamma$ resonance within generic two-Higgs-doublet models.
Highlights
The possibility of flavor-changing decays of the BroutEnglert-Higgs boson h (Higgs boson in the following) has been discussed for a long time as a possible signal for physics beyond the standard model (SM) [1,2,3,4,5,6,7]
The indirect constraints from flavor-changing neutral currents and rare decays are inherently model dependent and can be decoupled from Higgs decays. This generically involves fine-tuning of the mass spectrum and couplings of the additional states, but opens the way for some new channels to look for physics beyond the SM
The rate can be obtained from Eq (31) via Vts → Vtb, so this channel is enhanced by jVtb/Vtsj2 ≃ 580 compared to the previous one
Summary
The possibility of flavor-changing decays of the BroutEnglert-Higgs boson h (Higgs boson in the following) has been discussed for a long time as a possible signal for physics beyond the standard model (SM) [1,2,3,4,5,6,7]. In many analyses one follows an effective-field-theory approach in which one assumes that only the couplings of the SM-like Higgs to fermions are modified and derives constraints on these couplings from low-energy processes [6,7] This leads one to conclude that no flavor-changing Higgs decays can be observable at the LHC, with the possible exception of h → τe and h → τμ [6,7]. The indirect constraints from flavor-changing neutral currents and rare decays are inherently model dependent and can be decoupled from Higgs decays This generically involves fine-tuning of the mass spectrum and couplings of the additional states, but opens the way for some new channels to look for physics beyond the SM. Appendix provides one-loop formulas relevant for b → sγ
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