Analysis of localized CP asymmetry in B̅_s^0→π ^+π ^-π ^0(K^0)
The European Physical Journal C(2023)
Abstract
n investigation about localized CP asymmetries for the processes of B̅_s^0→π ^+π ^-π ^0 (K^0) is presented in this paper. The innovation of this paper is that there is a consideration of three-particle ρ ^0(770) , ω (782) and ϕ (1020) interferences effect. Generally, ω (782) and ϕ (1020) both can decay into π ^+π ^- pair where can cause extremely small contribution from isospin symmetry breaking. Nevertheless, our analysis shows that B̅_s^0→π ^+π ^-π ^0(K^0) decay process can bring differential CP asymmetry about 65% ( 36% ) because of isospin symmetry breaking. To be better compared with the data from experimental in the future, we integrate CP asymmetry over the invariant mass and obtain localized CP asymmetry value for the decay B̅_s^0→π ^+π ^-π ^0 (K^0) . We find that there is an evident signal about CP asymmetry at invariant mass value m(π ^+π ^-) below the mass of ρ ^0(770) with the decay B̅_s^0→π ^+π ^-π ^0 .
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