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The stringent constraints from the direct searches for exotic scalars at the LHC as well as indirect bounds from flavour physics measurements have imposed severe restrictions on the parameter space of new physics models featuring extended Higgs sectors. In the Type-II 2HDM, this implies a lower bound on the charged Higgs masses of $\mathcal{O}$(600 GeV). In this work we analyse the phenomenology of a Z3HDM in the alignment limit focusing on the impact of flavour physics constraints on its parameter space. We show that the couplings of the two charged Higgs bosons in this model feature an additional suppression factor compared to Type-II 2HDM. This gives rise to a significant relaxation of the flavour physics constraints in this model, allowing the charged Higgs masses to be as low as $\mathcal{O}$(200 GeV). We also consider the constraints coming from precision electroweak observables and the observed diphoton decay rate of the 125 GeV Higgs boson at the LHC. The bounds coming from the direct searches of nonstandard Higgs bosons at the LHC, particularly those from resonance searches in the ditau channel, prove to be very effective in constraining this scenario further.
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