Unveiling the Heavy Neutrino Nature at LHCb

Abstract

In this work, we study the lepton number violating Bc meson decays via one intermediate on-shell heavy neutrino. The specific studied process is $B_c^{+}\to {\mu }^{+}N\to {\mu }^{+}{\mu }^{+}{\tau }^{-}\nu$ which could allow distinguishing the nature of the heavy neutrino nature (Dirac or Majorana) by studying the tau lepton energy spectrum in the LHCb experiment. The result suggests that this signature could be observed in the collected data during the HL-LHCb lifetime.