Search for a light charged Higgs boson decaying to a W boson and a CP-odd Higgs boson in final states with e$\mu\mu$ or $\mu\mu\mu$ in proton-proton collisions at $\sqrt{s}=$ 13 TeV
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Abstract (data abstract)
A search for a light charged Higgs boson ($\mathrm{H^{+}}$) decaying to a W boson and a CP-odd Higgs boson (A) in final states with $\mathrm{e}\mu\mu$ or $\mu\mu\mu$ is performed using data from pp collisions at $\sqrt{s}=13$ TeV, recorded by the CMS detector at the LHC and corresponding to an integrated luminosity of 35.9 fb$^{-1}$. In this search, it is assumed that the $\mathrm{H}^{+}$ boson is produced in decays of top quarks, and the A boson decays to two opposite-charge muons. The presence of signals for $\mathrm{H}^{+}$ boson masses between 100 and 160 GeV and A boson masses between 15 and 75 GeV is investigated. No evidence for the production of the $\mathrm{H^{+}}$ boson is found. Assuming branching fractions $\mathcal{B}(\mathrm{H^{+}}\to\mathrm{W^{+}A})=1$ and $\mathcal{B}(\mathrm{A}\to\mu^{+}\mu^{-})=3\times10^{-4}$, upper limits at 95% confidence level on the branching fraction of the top quark, $\mathcal{B}(\mathrm{t}\to\mathrm{bH^{+}})$, of 0.63 to 2.9% are obtained, depending on the masses of the $\mathrm{H^{+}}$ and A bosons. These are the first limits on $\mathcal{B}(\mathrm{t}\to\mathrm{bH^{+}})$ in the decay mode of the $\mathrm{H^{+}}$ boson: $\mathrm{H^{+}}\to\mathrm{W^{+}A}\to\mathrm{W^{+}}\mu^{+}\mu^{-}$.

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