Revisiting $$B_s \rightarrow PP$$ B s → P P and PV decays with contributions from $${\phi }_{B2}$$ ϕ B 2 with the perturbative QCD approach
Abstract The $$B_s \rightarrow PP$$ B s → P P and PV decay modes are revisited at leading order within the perturbative QCD (pQCD) approach, incorporating the $$B_s$$ B s mesonic wave function (WF) $${\phi }_{B2}$$ ϕ B 2 . Here, P represents the pseudoscalar mesons $${\pi }$$ π and K, while V denote...
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2025-05-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-14172-3 |
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| author | Yueling Yang Zhao-Jie Lü Su-Ping Jin Junfeng Sun |
| author_facet | Yueling Yang Zhao-Jie Lü Su-Ping Jin Junfeng Sun |
| author_sort | Yueling Yang |
| collection | DOAJ |
| description | Abstract The $$B_s \rightarrow PP$$ B s → P P and PV decay modes are revisited at leading order within the perturbative QCD (pQCD) approach, incorporating the $$B_s$$ B s mesonic wave function (WF) $${\phi }_{B2}$$ ϕ B 2 . Here, P represents the pseudoscalar mesons $${\pi }$$ π and K, while V denotes the ground-state vector mesons. The investigation incorporates two key refinements: the contribution of the subleading-twist WF $$\phi _{B2}$$ ϕ B 2 of the $$B_s$$ B s meson and the effects of higher-order terms in the distribution amplitudes (DAs) of the final-state mesons. We emphasize that $$\phi _{B2}$$ ϕ B 2 is not merely a numerical correction, but a necessary ingredient to preserve gauge invariance. Employing the minimum $$\chi ^2$$ χ 2 method, we optimize the shape parameter $$\omega _{B_s}$$ ω B s of the $$B_s$$ B s meson WF and systematically calculate the branching ratios and CP violation parameters for these decay modes. Our results demonstrate that the inclusion of $$\phi _{B2}$$ ϕ B 2 significantly impacts both the branching ratios and CP asymmetries, resulting in better agreement with existing experimental data for specific channels. This underscores the need to account for $$\phi _{B2}$$ ϕ B 2 in theoretical studies of $$B_s$$ B s weak decays. While the higher-order corrections in the final-state meson DAs yield comparatively smaller effects, they still enhance the theoretical predictions. These findings highlight the importance of refining both WF modeling and higher-order contributions in pQCD calculations. Future high-precision experimental measurements will further test these predictions, while continued theoretical efforts are essential for exploring additional interaction mechanisms and systematic uncertainties. The interplay between experimental advancements and theoretical improvements remains critical for a deeper understanding of $$B_s$$ B s meson decay dynamics. |
| format | Article |
| id | doaj-art-ae1110ba9d094564a4777eb8d6d3ecc5 |
| institution | OA Journals |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | SpringerOpen |
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| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-ae1110ba9d094564a4777eb8d6d3ecc52025-08-20T02:25:11ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-05-0185511810.1140/epjc/s10052-025-14172-3Revisiting $$B_s \rightarrow PP$$ B s → P P and PV decays with contributions from $${\phi }_{B2}$$ ϕ B 2 with the perturbative QCD approachYueling Yang0Zhao-Jie Lü1Su-Ping Jin2Junfeng Sun3Institute of Particle and Nuclear Physics, Henan Normal UniversityInstitute of Particle and Nuclear Physics, Henan Normal UniversityInstitute of Particle and Nuclear Physics, Henan Normal UniversityInstitute of Particle and Nuclear Physics, Henan Normal UniversityAbstract The $$B_s \rightarrow PP$$ B s → P P and PV decay modes are revisited at leading order within the perturbative QCD (pQCD) approach, incorporating the $$B_s$$ B s mesonic wave function (WF) $${\phi }_{B2}$$ ϕ B 2 . Here, P represents the pseudoscalar mesons $${\pi }$$ π and K, while V denotes the ground-state vector mesons. The investigation incorporates two key refinements: the contribution of the subleading-twist WF $$\phi _{B2}$$ ϕ B 2 of the $$B_s$$ B s meson and the effects of higher-order terms in the distribution amplitudes (DAs) of the final-state mesons. We emphasize that $$\phi _{B2}$$ ϕ B 2 is not merely a numerical correction, but a necessary ingredient to preserve gauge invariance. Employing the minimum $$\chi ^2$$ χ 2 method, we optimize the shape parameter $$\omega _{B_s}$$ ω B s of the $$B_s$$ B s meson WF and systematically calculate the branching ratios and CP violation parameters for these decay modes. Our results demonstrate that the inclusion of $$\phi _{B2}$$ ϕ B 2 significantly impacts both the branching ratios and CP asymmetries, resulting in better agreement with existing experimental data for specific channels. This underscores the need to account for $$\phi _{B2}$$ ϕ B 2 in theoretical studies of $$B_s$$ B s weak decays. While the higher-order corrections in the final-state meson DAs yield comparatively smaller effects, they still enhance the theoretical predictions. These findings highlight the importance of refining both WF modeling and higher-order contributions in pQCD calculations. Future high-precision experimental measurements will further test these predictions, while continued theoretical efforts are essential for exploring additional interaction mechanisms and systematic uncertainties. The interplay between experimental advancements and theoretical improvements remains critical for a deeper understanding of $$B_s$$ B s meson decay dynamics.https://doi.org/10.1140/epjc/s10052-025-14172-3 |
| spellingShingle | Yueling Yang Zhao-Jie Lü Su-Ping Jin Junfeng Sun Revisiting $$B_s \rightarrow PP$$ B s → P P and PV decays with contributions from $${\phi }_{B2}$$ ϕ B 2 with the perturbative QCD approach European Physical Journal C: Particles and Fields |
| title | Revisiting $$B_s \rightarrow PP$$ B s → P P and PV decays with contributions from $${\phi }_{B2}$$ ϕ B 2 with the perturbative QCD approach |
| title_full | Revisiting $$B_s \rightarrow PP$$ B s → P P and PV decays with contributions from $${\phi }_{B2}$$ ϕ B 2 with the perturbative QCD approach |
| title_fullStr | Revisiting $$B_s \rightarrow PP$$ B s → P P and PV decays with contributions from $${\phi }_{B2}$$ ϕ B 2 with the perturbative QCD approach |
| title_full_unstemmed | Revisiting $$B_s \rightarrow PP$$ B s → P P and PV decays with contributions from $${\phi }_{B2}$$ ϕ B 2 with the perturbative QCD approach |
| title_short | Revisiting $$B_s \rightarrow PP$$ B s → P P and PV decays with contributions from $${\phi }_{B2}$$ ϕ B 2 with the perturbative QCD approach |
| title_sort | revisiting b s rightarrow pp b s p p and pv decays with contributions from phi b2 ϕ b 2 with the perturbative qcd approach |
| url | https://doi.org/10.1140/epjc/s10052-025-14172-3 |
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