Contributions of interference and non-interference components to CP asymmetries in heavy meson decays
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arXiv
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| Autori principali: | , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914602530373632 |
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| author | Qi, Jing-Juan Zhao, Yi-Fan Liu, Jin-Xia Zhang, Zhen-Hua Guo, Xin-Heng Wang, Zhen-Yang |
| author_facet | Qi, Jing-Juan Zhao, Yi-Fan Liu, Jin-Xia Zhang, Zhen-Hua Guo, Xin-Heng Wang, Zhen-Yang |
| contents | In multi-body decays of heavy mesons, conventional CP asymmetry observables obtained by integrating over the full phase space are insensitive to the higher-order wave expansion contributions in the decay amplitude squared, and consequently fail to retain information on interference effects among different resonances. To overcome this limitation, one can introduce a phase-space partitioning scheme based on the zeros of Legendre polynomials, supplemented by a sign-function weighting procedure. On such a basis, two observables are defined, namely an asymmetry observable $\mathcal{A}_{\pm}^{\mathrm{asy},l}$, and the corresponding CP asymmetry $\mathcal{A}_{\mathrm{CP}}^{\mathrm{asy},l}$. We further separate the observables into interference and non-interference parts and analyze their respective roles. As an application, the decay channel $B^\pm\rightarrowπ^\pmπ^+π^-$ are analyzed in the region near the $ρ^0(1450)$ resonance. Using the LHCb data, the results show that odd-$l$
schemes are particularly effective in isolating interference contributions, while even-$l$ schemes are more sensitive to non-interference terms. This new assignment scheme has the potential to be extended to other decay processes, thus enriching the available physical observables. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_26480 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Contributions of interference and non-interference components to CP asymmetries in heavy meson decays Qi, Jing-Juan Zhao, Yi-Fan Liu, Jin-Xia Zhang, Zhen-Hua Guo, Xin-Heng Wang, Zhen-Yang High Energy Physics - Phenomenology In multi-body decays of heavy mesons, conventional CP asymmetry observables obtained by integrating over the full phase space are insensitive to the higher-order wave expansion contributions in the decay amplitude squared, and consequently fail to retain information on interference effects among different resonances. To overcome this limitation, one can introduce a phase-space partitioning scheme based on the zeros of Legendre polynomials, supplemented by a sign-function weighting procedure. On such a basis, two observables are defined, namely an asymmetry observable $\mathcal{A}_{\pm}^{\mathrm{asy},l}$, and the corresponding CP asymmetry $\mathcal{A}_{\mathrm{CP}}^{\mathrm{asy},l}$. We further separate the observables into interference and non-interference parts and analyze their respective roles. As an application, the decay channel $B^\pm\rightarrowπ^\pmπ^+π^-$ are analyzed in the region near the $ρ^0(1450)$ resonance. Using the LHCb data, the results show that odd-$l$ schemes are particularly effective in isolating interference contributions, while even-$l$ schemes are more sensitive to non-interference terms. This new assignment scheme has the potential to be extended to other decay processes, thus enriching the available physical observables. |
| title | Contributions of interference and non-interference components to CP asymmetries in heavy meson decays |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2605.26480 |