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Search for Trilepton Nucleon Decay via $p \rightarrow e^+ νν$ and $p \rightarrow μ^+ νν$ in the Super-Kamiokande Experiment

The trilepton nucleon decay modes $p \rightarrow e^+ νν$ and $p \rightarrow μ^+ νν$ violate $|Δ(B - L)|$ by two units. Using data from a 273.4 kiloton year exposure of Super-Kamiokande a search for these decays yields a fit consistent with no signal. Accordingly, lower limits on the partial lifetimes of $τ_{p \rightarrow e^+ νν} > 1.7 \times 10^{32}$ years and $τ_{p \rightarrow μ^+ νν} > 2.2 \times 10^{32}$ years at a $90 \% $ confidence level are obtained. These limits can constrain Grand Unified Theories which allow for such processes.