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We study the excesses of $R(D^{(*)})$ and muon $g-2$ in the framework of atwo-Higgs-doublet model with top quark flavor-changing neutral-current (FCNC)couplings. Considering the relevant theoretical and experimental constraints,we find that the $R(D^{(*)})$ and muon $g-2$ excesses can be simultaneouslyexplained in a parameter space allowed by the constraints. In such a parameterspace the pseudoscalar ($A$) has a mass between 20 GeV and 150 GeV so that itcan be produced from the top quark FCNC decay $t\to A c$. Focusing on itsdominant decay $A\to \tau\bar{\tau}$, we perform a detailed simulation on$pp\to t\bar{t}\to Wb Ac\to jjbc\tau\bar{\tau}$ and find that the $2\sigma$upper limits from a data set of 30 (100) fb$^{-1}$ at the 13 TeV LHC can mostly(entirely) exclude such a parameter space.

Probing a pseudoscalar at the LHC in light of $R(D^{(*)})$ and muon g-2 excesses