Enhanced direct CP violation in Β±,0→π+π-Κ±,0 -: art. no. 096008

We investigate in a phenomenological way direct CP violation in the hadronic decays B-+/-,B-0-->pi(+)pi(-)K(+/-,0) where the effect of rho-omega mixing is included. If N-c(eff) (the effective parameter associated with factorization) is constrained using the most recent experimental branching ratios (to rho(0)K(0), rho(+/-)K(-/+), rho(+/-)K(0), rho(0)K(+/-) and omegaK(+/-)) from the BABAR, BELLE and CLEO Collaborations, we get a maximum CP violating asymmetry a(max) in the range -25% to +49% for B--->pi(+)pi(-)K(-) and -24% to +55% for (B) over bar (0)-->pi(+)pi(-)(K) over bar (0). We also find that CP violation is strongly dependent on the Cabibbo-Kobayashi-Maskawa matrix elements. Finally, we show that the sign of sin delta is always positive in the allowed range of N-c(eff) and hence, a measurement of direct CP violation in B-+/-,B-0-->pi(+)pi(-)K(+/-,0) would remove the mod(pi) ambiguity in arg[-VtsVtbstar/VusVubstar].