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Following the experimental results from LHCb on the rare decay $B^+_c \toK^-K^+\pi^+$, we investigate the possibility where this process is dominated bya double charm rescattering. The $B_c$ decay to double charm channels have aweak topology that is favoured in comparison with the direct production of$K^-K^+\pi^+$ in the final state, suppressed by quark annihilation. The decayamplitude for $B^+_c \to K^-K^+\pi^+$ with $B_c$ decaying first to double charmchannels is described by a charm penguin diagram, represented by charm hadronictriangle loops, which reach the final state of interest after $D\bar{D}\toK\bar{K}$ or $ D^+ D^-_s \to \pi^+ K^-$ transitions. We show that theseprocesses give rise to non-resonant amplitudes with a clear signature in theDalitz plot. In a near future, the new data from LHCb run II will be able toconfirme if the main hypotheses of this work is correct and the dominantmechanism to produce $K^+K^+\pi^-$ from the decay of $B^+_c$ is through charmrescattering.

Charm rescattering contribution in rare $B^+_c \to K^+ K^- \pi^+$ decay