Discovering heavy neutrino oscillations in rare Bc meson decays at HL-LHCb

Abstract

In this work, we study the lepton flavor and lepton number violating $B_c$ meson decays via two intermediate on-shell Majorana neutrinos $N_j$ into two charged leptons and a charged pion $B_c^{\pm }\to {\mu }^{\pm }{N}_j\to {\mu }^{\pm }{\tau }^{\pm }{\pi }^{\mp }$. We evaluated the possibility to measure the modulation of the decay width along the detector length produced as a consequence of the lepton flavor violating process, in a scenario where the heavy neutrinos masses range between $2.0$ GeV $\le M_N\le 6.0$ GeV. We study some realistic conditions which could lead to the observation of this phenomenon at futures $B$ factories such HL-LHCb.

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Cited by in corpus (4)

• Testing electroweak scale seesaw models at $e^{-}\gamma$ and $\gamma \gamma$ colliders
• Probe the Mixing Parameter $|V_{\tau N}{|}^2$ for Heavy Neutrinos
• CP violation in the rare Higgs decays via exchange of on-shell almost degenerate Majorana neutrinos, $H\to {\nu }_k{N}_j\to {\nu }_k{\ell }^{-}U\bar{D}$ and $H\to {\nu }_k{N}_j\to {\nu }_k{\ell }^{+}\bar{U}D$
• Constraints on Heavy Neutral Leptons interacting with a singlet scalar