Four-body decays of $B$ meson with lepton number violation

Abstract

This paper is designed to calculate the branching ratio of four-body decays of $B$ meson with lepton number changed by 2. With the new experimental data limit to lepton-number violation processes, we update the upper limits of mixing parameters between heavy Majorana neutrino and charged leptons. Afterwards, we calculate the branching ratio of $B^0(P)\to D^{\ast -}(P_1){\ell }_1^{+}(P_2){\ell }_2^{+}(P_3)M_2^{-}(P_4)$ using the updated parameters. It is found that the most hopeful decay channel is $B^0(P)\to D^{\ast -}(P_1)e_1^{+}(P_2)e_2^{+}(P_3){\rho }^{-}(P_4)$ or $B^0(P)\to D^{\ast -}(P_1)e(\mu {)}_1^{+}(P_2)\mu (e{)}_2^{+}(P_3){\rho }^{-}(P_4)$, whose branching ratio can reach about $10^{-4}$ with heavy Majorana neutrino mass range around $2\mathrm{GeV}$.

19 pages,10 figures