Rare ${\Lambda }_b\to n{l}^{+}{l}^{-}$ decays in the relativistic quark-diquark picture

Abstract

The form factors of the rare ${\Lambda }_b\to n{l}^{+}{l}^{-}$ decays are calculated in the framework of the relativistic quark-diquark picture of baryons with the consistent account of the relativistic effects. Their momentum transfer squared dependence is determined explicitly in the whole accessible kinematical range. The decay branching fractions, forward-backward asymmetries and the fractions of longitudinally polarized dileptons are determined. The branching fraction of the rare ${\Lambda }_b\to n{\mu }^{+}{\mu }^{-}$ decay are found to be $\mathrm{Br}({\Lambda }_b\to n{\mu }^{+}{\mu }^{-})=(3.75\pm 0.38)\times 10^{-8}$ and thus could be measured at the LHC. Prediction for the branching fraction of the rare radiative ${\Lambda }_b\to n\gamma$ decay is also given.

arXiv comment7 pages, 4 figures

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Cited by in corpus (6)

• Studying ${\mathcal{B}}_1({\frac{1}{2}}^{+})\to {\mathcal{B}}_2({\frac{1}{2}}^{+}){\ell }^{+}{\ell }^{-}$ Semi-leptonic Weak Baryon Decays with the SU(3) Flavor Symmetry
• Weak Radiative Decays of Anti-triplet Bottomed Baryons in Light-Front Quark Model
• Rare ${\Lambda }_c\to p{\ell }^{+}{\ell }^{-}$ decay in the relativistic quark model
• FCNC transitions of ${\Lambda }_b$ to neutron in Bethe-Salpeter equation approach
• Rare ${\Lambda }_c$ decays and new physics effects
• Form factors for the rare $Λ_{b}(Λ_{b}^*)\rar N\ell^+\ell^- $ decays in light cone QCD sum rules