CP violation in $B^{\pm }\to {\pi }^{\pm }{\pi }^{+}{\pi }^{-}$ in the region with low invariant mass of one ${\pi }^{+}{\pi }^{-}$ pair

Abstract

Recently, the large CP asymmetries in $B^{\pm }\to {\pi }^{\pm }{\pi }^{+}{\pi }^{-}$ decays were found by the LHCb Collaboration to localize in the region $m_{{\pi }^{+}{\pi }^{-}}^2<0.4{\text{GeV}}^2$. We find such large localized CP asymmetries may be due to the interference between a light scalar and ${\rho }^0(770)$ intermediate resonances. Consequently, we argue that the distribution of CP asymmetries in the Dalitz plots of three-body B decays could be very helpful for identifying the presence of the scalar resonance.

Comments: 5 pages, 1 figure, 1 table, to be published on Physical Review D