Abstract: A search for a light charged Higgs boson (H+) decaying to a W boson and a CP-odd Higgs boson (A) in final states with e?? or ??? is performed using data from pp collisions at ?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 H+ boson is produced in decays of top quarks, and the A boson decays to two oppositely charged muons. The presence of signals for 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 H+ boson is found. Upper limits at 95% confidence level are obtained on the combined branching fraction for the decay chain, t?bH+?bW+A?bW+?+??, of 1.9×10?6 to 8.6×10?6, depending on the masses of the H+ and A bosons. These are the first limits for these decay modes of the H+ and A bosons

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