Rare top decay $t \rightarrow c \gamma$ with flavor changing neutral scalar interactions in THDM

Models beyond the Standard Model with extra scalars are highly motivated by the recent discovery of scalar Higgs boson. The Two Higgs Doublet Model Type III considers the most general case for the scalar potential, allowing mixing between neutral CP-even and CP-odd scalar fields. In the present work, we study the decay $t\rightarrow c\gamma$ at one loop level where neutral flavor changing is generated by top-charm-Higgs coupling giving by the Yukawa term. We obtain $Br(t\rightarrow c\gamma)$ of the order of $10^{-6}$ for $\tan\beta=2.5$ and general neutral Higgs mixing parameters $1.16\leq\alpha_1\leq1.5$, $-0.48\leq\alpha_2\leq-0.1$. Finally, 700 events are estimated for the decay $t\rightarrow c\gamma$ in $pp$ collisions at LHC by assuming an integrated luminosity of $300\,\textrm{fb}^{-1}$.