Transition form factors of the $$\Lambda _b \rightarrow \Lambda (1520)$$ Λ b → Λ ( 1520 ) in QCD light-cone sum rules
Abstract In this work, we investigate the transition form factors for $$\Lambda _b\rightarrow {\Lambda (1520)}$$ Λ b → Λ ( 1520 ) within the framework of light-cone sum rules (LCSR), using the light-cone distribution amplitudes (LCDAs) of the $$\Lambda _b$$ Λ b -baryon. In the hadronic representatio...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-03-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-14033-z |
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| Summary: | Abstract In this work, we investigate the transition form factors for $$\Lambda _b\rightarrow {\Lambda (1520)}$$ Λ b → Λ ( 1520 ) within the framework of light-cone sum rules (LCSR), using the light-cone distribution amplitudes (LCDAs) of the $$\Lambda _b$$ 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 $$\Lambda (1520)(J^P=(3/2)^-)$$ Λ ( 1520 ) ( J P = ( 3 / 2 ) - ) and the $$\Lambda (1890)(J^P=(3/2)^+),$$ Λ ( 1890 ) ( J P = ( 3 / 2 ) + ) , ensuring that the form factors for $$\Lambda _b\rightarrow {\Lambda (1520)}$$ Λ b → Λ ( 1520 ) can be calculated unambiguously. We also provide predictions for various physical observables in the decay $$\Lambda _b\rightarrow {\Lambda (1520)}l^+l^-,$$ Λ b → 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 $$\Lambda _b\rightarrow {\Lambda (1520)}\mu ^+\mu ^-$$ Λ b → Λ ( 1520 ) μ + μ - is in good agreement with the LHCb measurement within the uncertainties. |
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| ISSN: | 1434-6052 |