Measurement of CP violation in the phase space of $B^{\pm} \rightarrow K^{+} K^{-} π^{\pm}$ and $B^{\pm} \rightarrow π^{+} π^{-} π^{\pm}$ decays

The charmless decays $B^{\pm} \rightarrow K^{+}K^{-}π^{\pm}$ and $B^{\pm} \rightarrow π^{+}π^{-}π^{\pm}$ are reconstructed in a data set, corresponding to an integrated luminosity of 1.0 fb$^{-1}$ of pp collisions at a center-of-mass energy of 7 TeV, collected by LHCb in 2011. The inclusive charge asymmetries of these modes are measured to be $A_{CP}(B^{\pm} \rightarrow K^{+}K^{-}π^{\pm}) =-0.141 \pm 0.040 (stat) \pm 0.018 (syst) \pm 0.007 (J/ψK^{\pm})$ and $A_{CP}(B^{\pm} \rightarrow π^{+}π^{-}π^{\pm}) = 0.117 \pm 0.021 (stat) \pm 0.009 (syst) \pm 0.007 (J/ψK^{\pm})$, where the third uncertainty is due to the CP asymmetry of the $B^{\pm} \rightarrow J/ψK^{\pm}$ reference mode. In addition to the inclusive CP asymmetries, larger asymmetries are observed in localized regions of phase space.