Pair Production and Correlated Decay of Heavy Majorana Neutrinos in $e^{+}{e}^{-}$ Collisions

Abstract

We consider the process $e^{+}{e}^{-}\to N_1{N}_2$, where $N_1$ and $N_2$ are heavy Majorana particles, with relative $CP$ given by ${\eta }_{CP}=+1$ or $-1$, decaying subsequently via $N_1,N_2\to W^{\pm }{e}^{\mp }$. We derive the energy and angle correlation of the dilepton final state, both for like-sign ($e^{\mp }{e}^{\mp }$) and unlike-sign ($e^{-}{e}^{+}$) configurations. Interesting differences are found between the cases ${\eta }_{CP}=+1$ and $-1$. The characteristics of unlike-sign $e^{+}{e}^{-}$ dileptons originating from a Majorana pair $N_1{N}_2$ are contrasted with those arising from the reaction $e^{+}{e}^{-}\to N\bar{N}\to W^{+}{e}^{-}{W}^{-}{e}^{+}$, where $N\bar{N}$ is a Dirac particle-antiparticle pair.

Comments: 24 pages, RevTeX, 12 eps figures, uses epsf.sty