Rare ${\Lambda }_c$ decays and new physics effects

Abstract

Recent experimental progress on baryonic rare decays has spurred a deeper investigation on flavor-changing neutral current transitions in the baryon sector. Within the framework of QCD sum rules, we derive a complete set of form factors for the ${\Lambda }_c\to p$ process in the large recoil region and use the $z$-series parametrization to extrapolate them across the full physical range. Employing these form factors and flavor symmetries, we compute branching fractions for the decays ${\Lambda }_c\to p{e}^{+}{e}^{-}$ and ${\Lambda }_c\to p{\mu }^{+}{\mu }^{-}$, as well as for rare ${\Xi }_c$ decay modes. We examine as well the new physics effects through specific angular observables such as the lepton forward-backward asymmetry and the fraction of longitudinally polarized dileptons. Results indicate that new physics models may be testified in baryonic rare decays, with immense data collected in running and future colliders.

22 pages, 4 figures

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