Oscillation of heavy sterile neutrino in decay of $B \to μe π$

Cvetic G, Kim CS, Kögerler R, Zamora-Saa J. Oscillation of heavy sterile neutrino in decay of $B \to μe π$. Physical Review D. 2015;92(1): 13015.In a scenario with two almost mass degenerate heavy sterile Majorananeutrinos with a mass $\sim 1$ GeV, we present the semileptonic decay widths ofheavy charged pseudoscalars such as $B$ mesons, either lepton-number-violating(LNV: $B^{\pm} \to \mu^{\pm} e^{\pm} \pi^{\mp}$), or lepton-number-conserving(LNC: $B^{\pm} \to \mu^{\pm} e^{\mp} \pi^{\pm}$), mediated by such on-shellneutrinos. It had been explained in the literature that such decays may beeventually detected, and that they can present even detectable CP violationeffects. In this work we point out that, in addition, such decays may presentdetectable effects of heavy neutrino oscillation, allowing us to extract theoscillation length and thus the heavy neutrino mass difference $\Delta M_N$, aswell as a CP-violating Majorana phase