Search for Dinucleon Decay into Kaons in Super-Kamiokande

A search for the dinucleon decay $pp\ensuremath{\rightarrow}{K}^{+}{K}^{+}$ has been performed using $91.6\text{ }\text{ }\mathrm{kton}\ifmmode\cdot\else\textperiodcentered\fi{}\text{yr}$ data from Super-Kamiokande-I. This decay provides a sensitive probe of the $R$-parity-violating parameter ${{\ensuremath{\lambda}}_{112}}^{\ensuremath{'}\ensuremath{'}}$. A boosted decision tree analysis found no signal candidates in the data. The expected background was $0.28\ifmmode\pm\else\textpm\fi{}0.19$ atmospheric neutrino induced events and the estimated signal detection efficiency was $12.6%\ifmmode\pm\else\textpm\fi{}3.2%$. A lower limit of $1.7\ifmmode\times\else\texttimes\fi{}{10}^{32}\text{ }\text{ }\text{years}$ has been placed on the partial lifetime of the decay $^{16}\mathrm{O}\ensuremath{\rightarrow}^{14}\mathrm{C}{K}^{+}{K}^{+}$ at 90% C.L. A corresponding upper limit of $7.8\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}9}$ has been placed on the parameter ${{\ensuremath{\lambda}}_{112}}^{\ensuremath{'}\ensuremath{'}}$.