Dilepton production in deep inelastic lepton-proton scattering: effect of interference of heavy majorana neutrinos

A cross section of the deep inelastic production of lepton pairs $e^+p\to\bar{\nu}_e\ell^+\ell'^+X$ ($\ell,\ell'=e,\mu,\tau$) with nonconservation of the lepton number due to exchange of heavy Majorana neutrinos is calculated. The contribution of two neutrino mass states is considered, and the effect of their interference is studied. The results are extended to the case of a larger number of neutrinos. The possibilities of observation of the above process at future lepton—proton supercolliders are discussed.