Analysis of localized CP asymmetry in $${\bar{B}}_{s}^{0} \rightarrow \pi ^+\pi ^-\pi ^{0}(K^{0})$$ B ¯ s 0 → π + π - π 0 ( K 0 )
Abstract An investigation about localized CP asymmetries for the processes of $${\bar{B}}_{s}^{0} \rightarrow \pi ^{+}\pi ^{-}\pi ^{0} (K^{0})$$ B ¯ 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 $$\rho ^0(770)$$...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-04-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-023-11478-y |
| _version_ | 1797822672441180160 |
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| author | De-Sen Shi Gang Lü Yan-Lin Zhao Na-Wang Xin-Heng Guo |
| author_facet | De-Sen Shi Gang Lü Yan-Lin Zhao Na-Wang Xin-Heng Guo |
| author_sort | De-Sen Shi |
| collection | DOAJ |
| description | Abstract An investigation about localized CP asymmetries for the processes of $${\bar{B}}_{s}^{0} \rightarrow \pi ^{+}\pi ^{-}\pi ^{0} (K^{0})$$ B ¯ 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 $$\rho ^0(770)$$ ρ 0 ( 770 ) , $$\omega (782)$$ ω ( 782 ) and $$\phi (1020)$$ ϕ ( 1020 ) interferences effect. Generally, $$\omega (782)$$ ω ( 782 ) and $$\phi (1020)$$ ϕ ( 1020 ) both can decay into $$\pi ^+\pi ^-$$ π + π - pair where can cause extremely small contribution from isospin symmetry breaking. Nevertheless, our analysis shows that $${\bar{B}}_{s}^{0} \rightarrow \pi ^+\pi ^-\pi ^{0}(K^{0})$$ B ¯ 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 $${\bar{B}}_{s}^{0} \rightarrow \pi ^+\pi ^-\pi ^{0} (K^{0})$$ B ¯ s 0 → π + π - π 0 ( K 0 ) . We find that there is an evident signal about CP asymmetry at invariant mass value $$m(\pi ^{+}\pi ^{-})$$ m ( π + π - ) below the mass of $$\rho ^{0}(770)$$ ρ 0 ( 770 ) with the decay $${\bar{B}}_{s}^{0} \rightarrow \pi ^+\pi ^{-}\pi ^{0}$$ B ¯ s 0 → π + π - π 0 . |
| first_indexed | 2024-03-13T10:12:34Z |
| format | Article |
| id | doaj.art-69b10cc98d604e77ada59b961df39ba0 |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-03-13T10:12:34Z |
| publishDate | 2023-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-69b10cc98d604e77ada59b961df39ba02023-05-21T11:25:05ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-04-0183411010.1140/epjc/s10052-023-11478-yAnalysis of localized CP asymmetry in $${\bar{B}}_{s}^{0} \rightarrow \pi ^+\pi ^-\pi ^{0}(K^{0})$$ B ¯ s 0 → π + π - π 0 ( K 0 )De-Sen Shi0Gang Lü1Yan-Lin Zhao2Na-Wang3Xin-Heng Guo4Institute of Theoretical Physics, School of Sciences, Henan University of TechnologyInstitute of Theoretical Physics, School of Sciences, Henan University of TechnologyInstitute of Theoretical Physics, School of Sciences, Henan University of TechnologyInstitute of Theoretical Physics, School of Sciences, Henan University of TechnologyCollege of Nuclear Science and Technology, Beijing Normal UniversityAbstract An investigation about localized CP asymmetries for the processes of $${\bar{B}}_{s}^{0} \rightarrow \pi ^{+}\pi ^{-}\pi ^{0} (K^{0})$$ B ¯ 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 $$\rho ^0(770)$$ ρ 0 ( 770 ) , $$\omega (782)$$ ω ( 782 ) and $$\phi (1020)$$ ϕ ( 1020 ) interferences effect. Generally, $$\omega (782)$$ ω ( 782 ) and $$\phi (1020)$$ ϕ ( 1020 ) both can decay into $$\pi ^+\pi ^-$$ π + π - pair where can cause extremely small contribution from isospin symmetry breaking. Nevertheless, our analysis shows that $${\bar{B}}_{s}^{0} \rightarrow \pi ^+\pi ^-\pi ^{0}(K^{0})$$ B ¯ 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 $${\bar{B}}_{s}^{0} \rightarrow \pi ^+\pi ^-\pi ^{0} (K^{0})$$ B ¯ s 0 → π + π - π 0 ( K 0 ) . We find that there is an evident signal about CP asymmetry at invariant mass value $$m(\pi ^{+}\pi ^{-})$$ m ( π + π - ) below the mass of $$\rho ^{0}(770)$$ ρ 0 ( 770 ) with the decay $${\bar{B}}_{s}^{0} \rightarrow \pi ^+\pi ^{-}\pi ^{0}$$ B ¯ s 0 → π + π - π 0 .https://doi.org/10.1140/epjc/s10052-023-11478-y |
| spellingShingle | De-Sen Shi Gang Lü Yan-Lin Zhao Na-Wang Xin-Heng Guo Analysis of localized CP asymmetry in $${\bar{B}}_{s}^{0} \rightarrow \pi ^+\pi ^-\pi ^{0}(K^{0})$$ B ¯ s 0 → π + π - π 0 ( K 0 ) European Physical Journal C: Particles and Fields |
| title | Analysis of localized CP asymmetry in $${\bar{B}}_{s}^{0} \rightarrow \pi ^+\pi ^-\pi ^{0}(K^{0})$$ B ¯ s 0 → π + π - π 0 ( K 0 ) |
| title_full | Analysis of localized CP asymmetry in $${\bar{B}}_{s}^{0} \rightarrow \pi ^+\pi ^-\pi ^{0}(K^{0})$$ B ¯ s 0 → π + π - π 0 ( K 0 ) |
| title_fullStr | Analysis of localized CP asymmetry in $${\bar{B}}_{s}^{0} \rightarrow \pi ^+\pi ^-\pi ^{0}(K^{0})$$ B ¯ s 0 → π + π - π 0 ( K 0 ) |
| title_full_unstemmed | Analysis of localized CP asymmetry in $${\bar{B}}_{s}^{0} \rightarrow \pi ^+\pi ^-\pi ^{0}(K^{0})$$ B ¯ s 0 → π + π - π 0 ( K 0 ) |
| title_short | Analysis of localized CP asymmetry in $${\bar{B}}_{s}^{0} \rightarrow \pi ^+\pi ^-\pi ^{0}(K^{0})$$ B ¯ s 0 → π + π - π 0 ( K 0 ) |
| title_sort | analysis of localized cp asymmetry in bar b s 0 rightarrow pi pi pi 0 k 0 b ¯ s 0 π π π 0 k 0 |
| url | https://doi.org/10.1140/epjc/s10052-023-11478-y |
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