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Models beyond the Standard Model with extra scalars have been highlymotivated by the recent discovery of a Higgs boson. The Two Higgs Doublet ModelType III considers the most general case for the scalar potential, allowingmixing between neutral CP-even and CP-odd scalar fields. This work presents theresults of the study on the $t\rightarrow c\gamma$ decay at one loop level ifneutral flavor changing is generated by top-charm-Higgs coupling given by theYukawa matrix. For instance, a value for the branching ratio $Br(t\rightarrowc\gamma)\sim 10^{-6}$ for $\tan\beta=2.5$ and general neutral Higgs mixingparameters, $1.16\leq\alpha_1\leq1.5$, $-0.48\leq\alpha_2\leq-0.1$. The numberof events for the $t\rightarrow c \gamma$ decay with an integrated luminosityof 300 $fb^{-1}$ is estimated as $10\lesssim N_{Eff}\lesssim 100$ for theparameters of the model constrained by experimental data.

Rare top decay $t \rightarrow c \gamma$ with flavor changing neutral scalar interactions in two Higgs doublet model