Muon and Electron Number Nonconservation in a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>V</mml:mi><mml:mo>−</mml:mo><mml:mi>A</mml:mi></mml:math>Gauge Model

Abstract

We analyze muon and electron lepton-number nonconservation in a pure $V\ensuremath{-}A$ gauge model. The rates for $\ensuremath{\mu}\ensuremath{\rightarrow}e\ensuremath{\gamma}$, $\ensuremath{\mu}\ensuremath{\rightarrow}\mathrm{ee}\overline{e}$, and ${K}_{L}\ensuremath{\rightarrow}\ensuremath{\mu}\overline{e}$ are computed for this model. We find that for a reasonable range of neutral heavy-lepton mass these rates are in accord with, but not extremely small compared to, present experimental bounds. We comment on the nonorthogonality of ${\ensuremath{\nu}}_{e}$ and ${\ensuremath{\nu}}_{\ensuremath{\mu}}$, and interesting features of the ${L}^{\ensuremath{-}}$ decays.