In view of the projected high number of produced B mesons in the Belle II experiment (∼1010 per year), in addition to the ongoing LHC-b, we calculate the rate of decay for the rare decays of B mesons via a sterile on-shell neutrino N, which subsequently may decay leptonically or semileptonically within the detector: B→(D(∗))1±N, then N→1±2 ν or N→±π . Here, 1≠2 in order to avoid serious QED background. We account for the possible effects of the neutrino lifetime on the observability of the rare decays. If no charmed mesons [D(∗)] are produced at the first vertex of the sterile neutrino, a strong Cabibbo-Kobayashi-Maskawa (CKM) suppression becomes effective; this is not true if we consider instead the decays of Bc mesons, which can be produced copiously in LHC-b. The production of charmed mesons D(∗) at the first vertex offers an attractive possibility because it avoids strong CKM suppression. Such rare decays of B mesons could be detected at the Belle II experiment, with the N neutrino either decaying within the detector or manifesting itself as a massive missing momentum.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy (miscellaneous)