Rare ${\Lambda }_b\to \Lambda l^{+}{l}^{-}$ and ${\Lambda }_b\to \Lambda \gamma$ decays in the relativistic quark model

Abstract

Rare ${\Lambda }_b\to \Lambda l^{+}{l}^{-}$ and ${\Lambda }_b\to \Lambda \gamma$ decays are investigated in the relativistic quark model based on the quark-diquark picture of baryons. The decay form factors are calculated with the account of all relativistic effects including relativistic transformations of baryon wave functions from rest to moving reference frame and the contribution of the intermediate negative energy states. The momentum transfer squared dependence of the form factors is explicitly determined in the whole accessible kinematical range. The calculated decay branching fractions, various forward-backward asymmetries for the rare decay ${\Lambda }_b\to \Lambda {\mu }^{+}{\mu }^{-}$ are found to be consistent with recent detailed measurements by the LHCb Collaboration. Predictions for the ${\Lambda }_b\to \Lambda {\tau }^{+}{\tau }^{-}$ decay observables are given.

26 pages, 9 figures, published version

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Cited by in corpus (18)

• First observation of the radiative decay ${\Lambda }_b^0\to \Lambda \gamma$
• On the angular distribution of ${\Lambda }_b\to \Lambda (\to N\pi ){\tau }^{+}{\tau }^{-}$ decay
• Lepton mass effects and angular observables in ${\Lambda }_b\to \Lambda (\to p\pi ){\ell }^{+}{\ell }^{-}$
• 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 ${\Lambda }_b\to \Lambda l^{+}{l}^{-}$ decay in the Bethe-Salpeter equation approach
• Rare ${\Lambda }_c$ decays and new physics effects
• Studying Radiative Baryon Decays with the SU(3) Flavor Symmetry
• Form factors for the rare $Λ_{b}(Λ_{b}^*)\rar N\ell^+\ell^- $ decays in light cone QCD sum rules
• Rare radiative ${\Xi }_b^{-}\to {\Xi }^{-}\gamma$ decay in the relativistic quark model
• The ${\Lambda }_b\to \Lambda (\to p{\pi }^{-}){\mu }^{+}{\mu }^{-}$ decay in the ${\text{RS}}_c$ model
• ${\Lambda }_b\to \Lambda (\to p{\pi }^{-}){\ell }^{+}{\ell }^{-}$ as probe of CP-violating New Physics
• Baryons and baryoniums in the perspective of QCD sum rules
• Forward-backward asymmetries in ${\Lambda }_b\to \Lambda l^{+}{l}^{-}$ in Bethe-Salpeter equation approach
• ${\Xi }_b\to \Xi$ form factors from lattice QCD and Standard-Model predictions for ${\Xi }_b\to \Xi {\mu }^{+}{\mu }^{-}$ and ${\Xi }_b\to \Xi \gamma$ decays
• Semileptonic neutral current decays of ${\Xi }_b$ with dileptons or dineutrinos in the final state