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Article
Report number arXiv:2208.08937 ; CERN-TH-2022-130 ; TUM-HEP-1422/22 ; EOS-2022-03
Title Dispersive analysis of Λ$_{b}$ → Λ(1520) local form factors
Author(s) Amhis, Yasmine (IJCLab, Orsay) ; Bordone, Marzia (CERN) ; Reboud, Méril (Munich, Tech. U.)
Publication 2023-02-01
Imprint 27 Jul 2022
Number of pages 21
Note 21 pages, 4 figures, 1 ancillary file, v2: correction of typos, v3: version accepted in JHEP
In: JHEP 2302 (2023) 010
DOI 10.1007/JHEP02(2023)010
Subject category Nuclear Physics - Theory ; Particle Physics - Phenomenology ; Particle Physics - Experiment
Abstract We perform an analysis of $\Lb\to\L(1520)$ local form factors. We use dispersive techniques to provide a model-independent parametrisation of the form factors that can be used in the whole kinematic region. We use lattice QCD data to constrain the free parameters in the form factors expansion, which is further constrained by endpoint relations, dispersive bounds, and SCET relations. We analyse different scenarios, where we expand the form factors up to different orders, and their viability. Finally, we use our results to obtain predictions for some observables in $\Lb\to\L(1520)\ell^+\ell^-$ decays, as the differential branching ratio, the forward-backwards lepton asymmetry and the branching ratio of $\Lambda_b\to\L(1520)\gamma$. Finally, we provide a python notebook based on the software \texttt{EOS} to reproduce our result.
Copyright/License publication: © 2023-2024 The Authors (License: CC-BY-4.0), sponsored by SCOAP³
preprint: (License: CC BY 4.0)



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 Record created 2022-07-27, last modified 2023-02-17


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