Probing sterile neutrino in $B$ ($D$) meson decays at Belle II (BESIII)

Abstract

We present, how a systematic study of $B\to D\ell N$ ($D\to K\ell N$) decays with $\ell =\mu ,\tau$, at Belle II (BESIII) can provide unambiguous signature of a heavy neutrino $N$ and/or constrain its mixing with active neutrinos ${\nu }_{\ell }$, which is parameterized by $|U_{\ell N}{|}^2$. Our constraint on $|U_{\mu N}{|}^2$ that can be achieved from the full Belle II data is comparable with what can be obtained from the much larger data set of the upgraded LHCb. Additionally, our method offers better constraint on $|U_{\mu N}{|}^2$ for mass of sterile neutrino $m_N<2$ GeV. We can also probe the Dirac and Majorana nature of $N$ by observing the sequential decay of $N$, including suppression from observation of a displaced vertex as well as helicity flip, for Majorana $N$.

9 pages, 6 figures. This is a pre-print of an article published in European Physical Journal C. The final authenticated version is available online at https://doi.org/10.1140/epjc/s10052-020-8310-2

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• The study of two quasi-degenerate heavy sterile neutrinos in rare meson decays
• $\Delta$L=2 hyperon decays induced by Majorana neutrinos and doubly-charged scalars
• CP violation with GeV-scale Majorana neutrino in ${\Lambda }_b\to ({\Lambda }_c^{+},p^{+}){\pi }^{+}{\mu }^{-}{\mu }^{-}$ decays
• Sterile neutrinos in ${\Lambda }_b^0\to ({\Lambda }_c^{+},p^{+}){\ell }_1^{-}{\ell }_2^{-}{\ell }_3^{+}\nu$ decays
• Dirac-Majorana neutrinos distinction in four-body decays
• Probing charged lepton flavor violation with axion-like particles at Belle II