Double-mixing CP violation in B decays
Abstract We study a long-overlooked CP violation observable, termed double-mixing CP violation, which arises from the interference between two neutral meson oscillating paths involved in a decay chain. The double-mixing CP violation is beneficial for the precise test of the Standard Model CKM mechan...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-10-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-024-13350-z |
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| author | Wen-Jie Song Yin-Fa Shen Qin Qin |
| author_facet | Wen-Jie Song Yin-Fa Shen Qin Qin |
| author_sort | Wen-Jie Song |
| collection | DOAJ |
| description | Abstract We study a long-overlooked CP violation observable, termed double-mixing CP violation, which arises from the interference between two neutral meson oscillating paths involved in a decay chain. The double-mixing CP violation is beneficial for the precise test of the Standard Model CKM mechanism, as it offers the potential to extract weak phases without pollution from strong dynamics. To provide a comprehensive understanding of the double-mixing CP violation, we perform phenomenological analyses on the cascade decays of the $$B^0_d$$ B d 0 and $$B^0_s$$ B s 0 mesons. Our results show that the double-mixing CP violation can be very significant in certain decay channels, such as $$B^0_d \rightarrow J/\psi K \rightarrow J/\psi (\pi ^+\ell ^-{\bar{\nu }}_\ell )$$ B d 0 → J / ψ K → J / ψ ( π + ℓ - ν ¯ ℓ ) , where the total CP violation arises almost entirely from the double-mixing CP violation. In addition, we employ the decay process $$B^0_d \rightarrow D^0 K \rightarrow (K^-\pi ^+)(\pi \ell \nu )$$ B d 0 → D 0 K → ( K - π + ) ( π ℓ ν ) to demonstrate that the involved strong and weak phases can be directly determined from the experimental data without any theoretical inputs. Specifically, the overall weak phase of this process is $$2\beta +\gamma $$ 2 β + γ , which is of significant importance for extracting the CKM phase angles. We also use $$B^0_s \rightarrow \rho ^0 K \rightarrow \rho ^0(\pi ^-\ell ^+\nu _\ell )$$ B s 0 → ρ 0 K → ρ 0 ( π - ℓ + ν ℓ ) to illustrate and discuss the significant importance of $$K^0_S - K^0_L$$ K S 0 - K L 0 interference. |
| format | Article |
| id | doaj-art-3402eea76f3448748d67245be3f6e2cb |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-3402eea76f3448748d67245be3f6e2cb2024-12-08T12:42:42ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-10-01841012610.1140/epjc/s10052-024-13350-zDouble-mixing CP violation in B decaysWen-Jie Song0Yin-Fa Shen1Qin Qin2School of Physics, Huazhong University of Science and TechnologySchool of Physics, Huazhong University of Science and TechnologySchool of Physics, Huazhong University of Science and TechnologyAbstract We study a long-overlooked CP violation observable, termed double-mixing CP violation, which arises from the interference between two neutral meson oscillating paths involved in a decay chain. The double-mixing CP violation is beneficial for the precise test of the Standard Model CKM mechanism, as it offers the potential to extract weak phases without pollution from strong dynamics. To provide a comprehensive understanding of the double-mixing CP violation, we perform phenomenological analyses on the cascade decays of the $$B^0_d$$ B d 0 and $$B^0_s$$ B s 0 mesons. Our results show that the double-mixing CP violation can be very significant in certain decay channels, such as $$B^0_d \rightarrow J/\psi K \rightarrow J/\psi (\pi ^+\ell ^-{\bar{\nu }}_\ell )$$ B d 0 → J / ψ K → J / ψ ( π + ℓ - ν ¯ ℓ ) , where the total CP violation arises almost entirely from the double-mixing CP violation. In addition, we employ the decay process $$B^0_d \rightarrow D^0 K \rightarrow (K^-\pi ^+)(\pi \ell \nu )$$ B d 0 → D 0 K → ( K - π + ) ( π ℓ ν ) to demonstrate that the involved strong and weak phases can be directly determined from the experimental data without any theoretical inputs. Specifically, the overall weak phase of this process is $$2\beta +\gamma $$ 2 β + γ , which is of significant importance for extracting the CKM phase angles. We also use $$B^0_s \rightarrow \rho ^0 K \rightarrow \rho ^0(\pi ^-\ell ^+\nu _\ell )$$ B s 0 → ρ 0 K → ρ 0 ( π - ℓ + ν ℓ ) to illustrate and discuss the significant importance of $$K^0_S - K^0_L$$ K S 0 - K L 0 interference.https://doi.org/10.1140/epjc/s10052-024-13350-z |
| spellingShingle | Wen-Jie Song Yin-Fa Shen Qin Qin Double-mixing CP violation in B decays European Physical Journal C: Particles and Fields |
| title | Double-mixing CP violation in B decays |
| title_full | Double-mixing CP violation in B decays |
| title_fullStr | Double-mixing CP violation in B decays |
| title_full_unstemmed | Double-mixing CP violation in B decays |
| title_short | Double-mixing CP violation in B decays |
| title_sort | double mixing cp violation in b decays |
| url | https://doi.org/10.1140/epjc/s10052-024-13350-z |
| work_keys_str_mv | AT wenjiesong doublemixingcpviolationinbdecays AT yinfashen doublemixingcpviolationinbdecays AT qinqin doublemixingcpviolationinbdecays |