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In this article, we have considered an extension of the inert Higgs doubletmodel with $SU(2)_L$ singlet vector like fermions. Our model is capable ofaddressing some interesting anomalous results in $b\to s\ell^+\ell^-$ decays(like $R(K^{(*)})$) and in muon $(g-2)$. Apart from explaining these anomalies,and being consistent with other flavour data, the model satisfies relevantconstraints in the dark matter sector, while remaining within the reach ofongoing direct detection experiments. The model also produces signatures at thelarge hadron collider (LHC) with final states comprised of dilepton, dijet andmissing energy, providing signals to be probed at higher luminosity.

Correlating the anomalous results in $b \to s$ decays with inert Higgs doublet dark matter and muon $(g-2)$