The rare decay $t \to c γ$ in the General 2HDM type III

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We consider the branching ratio for the process $t \to c γ$ in the context of the General Two Higgs Doublet Model type III. We find that taking into account reasonable values for the parameter $\tan β$ is possible to get values of this branching ratio up to orders of magnitude lying in the range of sensitivity of near future top quark experiments. For values of $B(t \to c γ) \sim 1-9 \times 10^{-5}$, values between 8-15 for $\tan β$ are allowed.
12 pages, 3 eps figures, RevTex4

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