Evidence for large direct CP violation in B+/- --> rho(770)0K+/- from analysis of three-body charmless B+/- --> K+/-pi+/-pi+/- decays.

We report results on a Dalitz analysis of three-body charmless B+-=>K+-pi+-pi-+ decay including searches for direct CP violation. We report the first observation of the decay B+=>f_2(1270)K+ with a statistical significance above 6sigma. We also observe 3.9sigma evidence for large direct CP violation in the B+-=>rho(770)0K+- channel. This is the first evidence for CP violation in a charged meson decay. The results are obtained with a data sample that contains 386 million BBbar pairs collected at the Y(4S) resonance with the Belle detector at the KEKB asymmetric-energy e+e- collider.