Testing the Muon-Number Conservation Law inν¯μ+e−Interactions at High Energies

Abstract

We propose to test the validity of the multiplicative muon-number conservation law by comparing the quasielastic reactions ${\overline{\nu }}_{\mu }+e^{-}\to {\mu }^{-}+{\overline{\nu }}_e$ and ${\nu }_{\mu }+e^{-}\to {\mu }^{-}+{\nu }_e$ at ≳400 GeV. We note that the measured electron spectrum in muon decay places strong constraints on the effective Lagrangian for the ${\overline{\nu }}_{\mu }$-induced process.