B -> Xsγconstraints on the top quark anomalous t-> cγcoupling

Observation of top quark flavor changing neutral process $t\to c +γ$ at the LHC would be the signal of physics beyond the Standard Model. If anomalous $t\to cγ$ coupling exists, it will affect the precisely measured $\mathcal{B}(\bar{B} \to X_s γ)$. In this paper, we study the effects of a dimension 5 anomalous $tc γ$ operator in $\bar{B} \to X_s γ$ decay to derive constraints on its possible strength. It is found that, for real anomalous $t\to cγ$ coupling $κ_{\rm{tcR}}^γ$, the constraints correspond to the upper bounds $\mathcal B (t \to c + γ)<6.54 \times 10^{-5}$ (for $κ_{\rm{tcR}}^γ>0$) and $\mathcal B (t \to c + γ)<8.52 \times 10^{-5}$ (for $κ_{\rm{tcR}}^γ<0$), respectively, which are about the same order as the $5σ$ discovery potential of ATLAS ($9.4\times 10^{-5}$) and slightly lower than that of CMS ($4.1\times 10^{-4}$) with $10 \ \rm{fb}^{-1}$ integrated luminosity operating at $\sqrt{s} =14$ TeV.

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