Search for Lepton-Flavor-Violating τ Decays to a Lepton and an Invisible Boson at Belle II
We search for lepton-flavor-violating $τ^– \rightarrow e^–α$ $τ^– \rightarrow μ^–α$ decays, where α is an invisible spin-0 boson. The search uses electron-positron collisions at 10.58 GeV center-of-mass energy with an integrated luminosity of 62.8 fb –1 , produced by the SuperKEKB collider and collected with the Belle II detector. We search for an excess in the lepton-energy spectrum of the known $τ^–\rightarrow e^–\bar{v}_{e}v_τ$ decays. We report 95% confidence-level upper limits on the branching-fraction ratio $\mathscr{B}(τ^–\rightarrow e^–α) \ / \mathscr{B}(τ^–\rightarrow e^– \bar{v}_{e}v_τ)$ in the range (1.1-9.7) × 10 –3 and on $\mathscr{B}(τ^–\rightarrow μ^–α) \ / \mathscr{B}(τ^–\rightarrow μ^– \bar{v}_{μ}v_τ)$ in the range (0.7-12.2)×10 –3 for α masses between 0 and 1.6 GeV/c 2 . These results provide the most stringent bounds on invisible boson production from τ decays.