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We study the $B_C$ meson rare decay in order to search for the Majorananeutrino signal. It is found that the the corresponding decay rate is sensitiveto the Majorana neutrino mass and mixing angles. The signal of $B_C^\pm\tol_1^\pm l_2^\pm M^\mp $ induced by the Majorana neutrino within the mass region$m_\pi<m_n<m_B$ may be observed at LHCb.

Search for Majorana Neutrino Signal in $B_c$ Meson Rare Decay