Pair production and correlated decay of heavy Majorana neutrinos in $e^{+} e^{-}$ collisions

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

η_{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

η_{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.

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Pair production and correlated decay of heavy Majorana neutrinos ine+e−collisions