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Dispersive analysis of $\Lambda_b \to \Lambda(1520)$ local form factors
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abstract
We perform an analysis of $\Lambda_b\to\Lambda(1520)$ 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 $\Lambda_b\to\Lambda(1520)\ell^+\ell^-$ decays, as the differential branching ratio, the forward-backwards lepton asymmetry and the branching ratio of $\Lambda_b\to\Lambda(1520)\gamma$. Finally, we provide a python notebook based on the software EOS to reproduce our result.
Forward citations
Cited by 2 Pith papers
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New Strategies for New Physics Search with $\Lambda_b \to \Lambda \nu \bar\nu$ Decays
For longitudinally polarized Lambda_b at future Z-pole machines, Lambda_b -> Lambda nu nubar has a forward-backward asymmetry that is independent of new physics at its zero crossing and complements the branching ratio...
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Transition form factors of the $\Lambda_b \rightarrow \Lambda(1520)$ in QCD light-cone sum rules
First light-cone sum rule calculation of the Lambda_b to Lambda(1520) transition form factors, with rare decay predictions consistent with LHCb within large uncertainties.
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