Implications of recent LHCb data on CPV in b-baryon four body decays
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| Format: | Preprint |
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2025
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| _version_ | 1866909846602776576 |
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| author | Chen, Qi Wu, Xin Xing, Zhi-Peng Zhu, Ruilin |
| author_facet | Chen, Qi Wu, Xin Xing, Zhi-Peng Zhu, Ruilin |
| contents | Motivated by the recent CPV observation, we investigate the CPV of b-baryon charmless four body decays under the U-spin symmetry. However, we find that only U-spin symmetry cannot provide effective predictions, particularly for $Λ_b$ decays. For giving more useful predictions, we also give a simple dynamic analysis. By counting the power($λ=\sqrt{\frac{Λ_{QCD}}{m_b}}$) of each topological diagram, we find that for the specific decay $B_b^2\to R(B_1^2 M^2 M^{\bar 2})M^2$, only one U-spin amplitude can contribute in the leading power, while for $B_b^2\to R(B_1^2 M^2)R( M^{\bar 2}M^2)$, only two U-spin amplitudes can contribute in this leading power. Then the most effective prediction can be given as \begin{align}
&A_{CP}^{dir}(Λ_b^0 \to R( p π^- π^+ )π^-) = (-12.99 \pm 2.83\pm2.59\pm0.65)\%,\notag \end{align} Considering the $Λ_b$ can effectively produced in LHCb, we strongly encourage a more precise experimental investigation of it. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_01853 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Implications of recent LHCb data on CPV in b-baryon four body decays Chen, Qi Wu, Xin Xing, Zhi-Peng Zhu, Ruilin High Energy Physics - Phenomenology Motivated by the recent CPV observation, we investigate the CPV of b-baryon charmless four body decays under the U-spin symmetry. However, we find that only U-spin symmetry cannot provide effective predictions, particularly for $Λ_b$ decays. For giving more useful predictions, we also give a simple dynamic analysis. By counting the power($λ=\sqrt{\frac{Λ_{QCD}}{m_b}}$) of each topological diagram, we find that for the specific decay $B_b^2\to R(B_1^2 M^2 M^{\bar 2})M^2$, only one U-spin amplitude can contribute in the leading power, while for $B_b^2\to R(B_1^2 M^2)R( M^{\bar 2}M^2)$, only two U-spin amplitudes can contribute in this leading power. Then the most effective prediction can be given as \begin{align} &A_{CP}^{dir}(Λ_b^0 \to R( p π^- π^+ )π^-) = (-12.99 \pm 2.83\pm2.59\pm0.65)\%,\notag \end{align} Considering the $Λ_b$ can effectively produced in LHCb, we strongly encourage a more precise experimental investigation of it. |
| title | Implications of recent LHCb data on CPV in b-baryon four body decays |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2504.01853 |