Lepton nonconservation at supercollider energies

The lepton-nonconserving rare process $\mathrm{pp}\to {\left(\mathrm{jet}\right)}_1{\left(\mathrm{jet}\right)}_2{e}^{+}{e}^{+}$, without missing $p_T$, is the high-energy analog of neutrinoless nuclear double-$\beta$ decay. It is shown to be a possible signal to search for a heavy Majorana electronlike neutrino $N_e$ in the mass intervals 150-1400 GeV and 450-1700 GeV at the CERN Large Hadron Collider (LHC) and the Superconducting Super Collider, respectively, with event rates of a few per year. However, standard-model backgrounds probably preclude seeing this process at the LHC.