Search for the suppressed decays $B^{+}\to K^{+}{K}^{+}{\pi }^{-}$ and $B^{+}\to {\pi }^{+}{\pi }^{+}{K}^{-}$

A search is made for the highly-suppressed B meson decays $B^{+}\rightarrow K^{+}K^{+}\pi^{-}$and$B^{+}\rightarrow \pi^{+}\pi^{+}K^{-}$ using a data sample corresponding to an integrated luminosity of 3.0 $f{b}^{-1}$ collected by the LHCb experiment in proton-proton collisions at centre-of-mass energies of 7 and 8 TeV. No evidence is found for the decays, and upper limits at 90% confidence level are determined to be $$\mathcal{B}$(B^{+}\rightarrow K^{+}K^{+}\pi^{-}) < 1.1\times 10^{-8}$and$$\mathcal{B}$(B^{+}\rightarrow \pi^{+}\pi^{+}K^{-}) < 4.6\times 10^{-8}$.