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.

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

Cited by in corpus (11)

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• The S-wave resonance contributions in the $B_s^0$ decays into $\psi (2S,3S)$ plus pion pair
• Quasi-two-body decays $B_{(s)}\to D(\rho (1450),\rho (1700))\to D\pi \pi$ in the perturbative QCD factorization approach
• Quasi-two-body decays $B_{(s)}\to P{D}_0^{\ast }(2400)\to PD\pi$ in the perturbative QCD approach
• Quasi-two-body decays $B\to {\eta }_c(1S,2S)[\rho (770),\rho (1450),\rho (1700)\to ]\pi \pi$ in the perturbative QCD approach
• Quasi-two-body decays $B_c\to D_{(s)}[\rho (770),\rho (1450),\rho (1700)\to ]\pi \pi$ in the perturbative QCD factorization approach
• Recent Developments on the CKM Matrix
• Charmless B decays at LHCb
• Probing the mass degeneracy of particles with different spins