Limit on the electric charge-nonconserving ${\mu }^{+}\to invisible$ decay

Abstract

The first limit on the branching ratio of the electric charge-nonconserving invisible muon decay $Br({\mu }^{+}\to invisible)<5.2\times 10^{-3}$ is obtained from the recently reported results on new determination of the Fermi constant from muon decays. The results of a feasibility study of a new proposed experiment for a sensitive search for this decay mode at the level of a few parts in 10^{11} are presented. Constrains on the $\tau \to invisible$ decay rate are discussed. These leptonic charge-nonconserving processes may hold in four-dimensional world in models with infinite extra dimensions, thus making their searches complementary to collider experiments probing new physics.

5 pages, 2 Figure, to appear in PRD

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• An Improved Limit on Invisible Decays of Positronium
• Polarized Light Propagating in a Magnetic Field as a Probe of Millicharged Fermions
• Search for millicharged particles in reactor neutrino experiments: a probe of the PVLAS anomaly