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 $\leq M_N \leq 6.0$ GeV. We study some realistic conditions which could lead to the observation of this phenomenon at futures $B$ factories such HL-LHCb.
Highlights
The first indications of physics beyond the standard model (SM) come from the baryonic asymmetry of the universe (BAU), dark matter (DM), and neutrino oscillations (NOs)
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 ≤ MN ≤ 6.0 GeV
In a previous article [15], we have described the effects of heavy neutrino oscillations (HNOs) in the so-called rare lepton number violating (LNV) and lepton flavor violating (LFV) pseudoscalar B meson decays, via two almost degenerate heavy on-shell Majorana neutrinos (MNi ∼ 1 GeV), which can oscillate among themselves
Summary
The first indications of physics beyond the standard model (SM) come from the baryonic asymmetry of the universe (BAU), dark matter (DM), and neutrino oscillations (NOs). The SSM introduces a new heavy Majorana particle (singlet under SUð2ÞL symmetry group), commonly called heavy neutrino (HN), which by means of inducing a dimension-five operator [5] leads to a very light active Majorana neutrino. These newly introduced HNs have a highly suppressed interaction with gauge bosons (Z, WÆ) and leptons (e, μ, τ), making its detection a challenging task. In a previous article [15], we have described the effects of heavy neutrino oscillations (HNOs) in the so-called rare lepton number violating (LNV) and lepton flavor violating (LFV) pseudoscalar B meson decays, via two almost degenerate heavy on-shell Majorana neutrinos (MNi ∼ 1 GeV), which can oscillate among themselves.
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