Transition form factors of the $Λ_b \rightarrow Λ(1520)$ in QCD light-cone sum rules
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| Format: | Preprint |
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2024
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| _version_ | 1866915055029714944 |
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| author | Huang, Ke-Sheng Jiang, Hua-Yu Yu, Fu-Sheng |
| author_facet | Huang, Ke-Sheng Jiang, Hua-Yu Yu, Fu-Sheng |
| contents | In this work, we investigate the transition form factors for $Λ_b\rightarrow{Λ(1520)}$ within the framework of light-cone sum rules (LCSR), using the light-cone distribution amplitudes (LCDAs) of the $Λ_b$-baryon. In the hadronic representation of the correlation function, we carefully select the appropriate Lorentz structures and isolate the contributions from both the $Λ(1520)(J^P=(3/2)^-)$ and the $Λ(1890)(J^P=(3/2)^+)$, ensuring that the form factors for $Λ_b\rightarrow{Λ(1520)}$ can be calculated unambiguously. We also provide predictions for various physical observables in the decay $Λ_b\rightarrow{Λ(1520)}l^+l^-$, including the differential branching fraction, the lepton-side forward-backward asymmetry, the longitudinal polarization fraction, and the CP-averaged normalized angular observable. Our prediction for the differential branching fraction of $Λ_b\rightarrow{Λ(1520)}μ^+μ^-$ is in good agreement with the LHCb measurement within the uncertainties. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_06515 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Transition form factors of the $Λ_b \rightarrow Λ(1520)$ in QCD light-cone sum rules Huang, Ke-Sheng Jiang, Hua-Yu Yu, Fu-Sheng High Energy Physics - Phenomenology In this work, we investigate the transition form factors for $Λ_b\rightarrow{Λ(1520)}$ within the framework of light-cone sum rules (LCSR), using the light-cone distribution amplitudes (LCDAs) of the $Λ_b$-baryon. In the hadronic representation of the correlation function, we carefully select the appropriate Lorentz structures and isolate the contributions from both the $Λ(1520)(J^P=(3/2)^-)$ and the $Λ(1890)(J^P=(3/2)^+)$, ensuring that the form factors for $Λ_b\rightarrow{Λ(1520)}$ can be calculated unambiguously. We also provide predictions for various physical observables in the decay $Λ_b\rightarrow{Λ(1520)}l^+l^-$, including the differential branching fraction, the lepton-side forward-backward asymmetry, the longitudinal polarization fraction, and the CP-averaged normalized angular observable. Our prediction for the differential branching fraction of $Λ_b\rightarrow{Λ(1520)}μ^+μ^-$ is in good agreement with the LHCb measurement within the uncertainties. |
| title | Transition form factors of the $Λ_b \rightarrow Λ(1520)$ in QCD light-cone sum rules |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2412.06515 |