Searching for lepton number violating <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="normal">Λ</mml:mi></mml:math> baryon decays mediated by a GeV-scale Majorana neutrino with LHCb
Searching for lepton number violating <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="normal">Λ</mml:mi></mml:math> baryon decays mediated by a GeV-scale Majorana neutrino with LHCb
We consider the lepton-number-violating processes in ${\mathrm{\ensuremath{\Lambda}}}_{b}/{\mathrm{\ensuremath{\Lambda}}}_{c}$ decays mediated by on-shell GeV-scale sterile neutrino. We calculate the branching ratio for the following processes: ${\mathrm{\ensuremath{\Lambda}}}_{b}^{0}\ensuremath{\rightarrow}{\mathcal{B}}^{+}{\ensuremath{\mu}}^{\ensuremath{-}}{\ensuremath{\mu}}^{\ensuremath{-}}{\ensuremath{\pi}}^{+}$, where ${\mathcal{B}}^{+}$ is ${\mathrm{\ensuremath{\Lambda}}}_{c}^{+}$ or proton, and ${\mathrm{\ensuremath{\Lambda}}}_{c}^{+}\ensuremath{\rightarrow}\mathrm{\ensuremath{\Lambda}}{\ensuremath{\mu}}^{+}{\ensuremath{\mu}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$ as function of the mass of the sterile neutrino ${m}_{N}$ and the heavy-light mixing coefficient of the extended …