Exploring CP-violation, via heavy neutrino oscillations, in rare B meson decays at Belle II

In this article we study the rare B-meson decay via two on-shell almost-degenerate Majorana Heavy Neutrinos, into two charged leptons and two pseudoscalar mesons ( $$B^{\pm } \rightarrow D^0 \ell ^{\pm }_1 \ell ^{\pm }_2 \pi ^{\mp }$$ ). We consider the scenario where the heavy neutrino masses are $$\sim 2$$ GeV and the heavy-light mixing coefficients are $$|B_{\ell N}|^2 \sim 10^{-5}$$ , and evaluate the possibility to measure the CP-asymmetry at Belle II. We present some realistic conditions under which the asymmetry could be detected.