Search for the lepton number violating decays $B^{+}\to π^- μ^+ μ^+$ and $B^{+}\to K^- μ^+ μ^+$

Abstract

A search is performed for the lepton number violating decay $B^{+}\to h^- μ^+ μ^+$, where $h^-$ represents a $K^-$ or a $π^-$, using data from the LHCb detector corresponding to an integrated luminosity of $36pb^{-1}$. The decay is forbidden in the Standard Model but allowed in models with a Majorana neutrino. No signal is observed in either channel and limits of $B(B^{+} \to K^- μ^+ μ^+) < 5.4\times 10^{-8}$ and $B(B^{+} \to π^- μ^+ μ^+) < 5.8\times 10^{-8}$ are set at the 95% confidence level. These improve the previous best limits by factors of 40 and 30, respectively.