Non-factorisable Contributions of Strong-Penguin Operators in $Λ_b \to Λ\ell^+\ell^-$ Decays
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866914748588621824 |
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| author | Feldmann, Thorsten Gubernari, Nico |
| author_facet | Feldmann, Thorsten Gubernari, Nico |
| contents | We investigate for the first time a certain class of non-factorisable contributions of the four-quark operators ${\cal O}_{3-6}$ in the weak effective Hamiltonian to the $Λ_b \to Λ\ell^+\ell^-$ decay amplitude. We focus on the case where a virtual photon is radiated from one of the light constituents of the $Λ_b$ baryon, in the kinematic situation of large hadronic recoil with an energetic $Λ$ baryon in the final state. The effect on the suitably defined ``non-local form factors'' is calculated using the light-cone sum rule approach for a correlator with an interpolating current for the light $Λ$ baryon. We find that this approach requires the introduction of new soft functions that generalise the standard light-cone distribution amplitudes (LCDAs) for the heavy $Λ_b$ baryon. We give a heuristic discussion of their properties and a model that relates them to the standard LCDAs. Within this framework, we provide numerical results for the size of the non-local form factors considered. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_14146 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Non-factorisable Contributions of Strong-Penguin Operators in $Λ_b \to Λ\ell^+\ell^-$ Decays Feldmann, Thorsten Gubernari, Nico High Energy Physics - Phenomenology We investigate for the first time a certain class of non-factorisable contributions of the four-quark operators ${\cal O}_{3-6}$ in the weak effective Hamiltonian to the $Λ_b \to Λ\ell^+\ell^-$ decay amplitude. We focus on the case where a virtual photon is radiated from one of the light constituents of the $Λ_b$ baryon, in the kinematic situation of large hadronic recoil with an energetic $Λ$ baryon in the final state. The effect on the suitably defined ``non-local form factors'' is calculated using the light-cone sum rule approach for a correlator with an interpolating current for the light $Λ$ baryon. We find that this approach requires the introduction of new soft functions that generalise the standard light-cone distribution amplitudes (LCDAs) for the heavy $Λ_b$ baryon. We give a heuristic discussion of their properties and a model that relates them to the standard LCDAs. Within this framework, we provide numerical results for the size of the non-local form factors considered. |
| title | Non-factorisable Contributions of Strong-Penguin Operators in $Λ_b \to Λ\ell^+\ell^-$ Decays |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2312.14146 |