Rare <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi mathvariant="normal">Λ</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:math> decays and new physics effects

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 <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:msub><a:mi mathvariant="normal">Λ</a:mi><a:mi>c</a:mi></a:msub><a:mo stretchy="false">→</a:mo><a:mi>p</a:mi></a:math> process in the large recoil region and use the <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:mi>z</e:mi></e:math>-series parametrization to extrapolate them across the full physical range. Employing these form factors and flavor symmetries, we compute branching fractions for the decays <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:msub><g:mi mathvariant="normal">Λ</g:mi><g:mi>c</g:mi></g:msub><g:mo stretchy="false">→</g:mo><g:mi>p</g:mi><g:msup><g:mi>e</g:mi><g:mo>+</g:mo></g:msup><g:msup><g:mi>e</g:mi><g:mo>−</g:mo></g:msup></g:math> and <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"><k:msub><k:mi mathvariant="normal">Λ</k:mi><k:mi>c</k:mi></k:msub><k:mo stretchy="false">→</k:mo><k:mi>p</k:mi><k:msup><k:mi>μ</k:mi><k:mo>+</k:mo></k:msup><k:msup><k:mi>μ</k:mi><k:mo>−</k:mo></k:msup></k:math>, as well as for rare <o:math xmlns:o="http://www.w3.org/1998/Math/MathML" display="inline"><o:msub><o:mi mathvariant="normal">Ξ</o:mi><o:mi>c</o:mi></o:msub></o:math> 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. Published by the American Physical Society 2024