Of Course Muons Can Oscillate

TL;DR

This paper argues that muons can oscillate and discusses how muon oscillations could be used to probe neutrino properties, challenging recent claims and emphasizing the persistence of oscillations in decay vertices.

Contribution

It demonstrates that muons can oscillate and explores their potential as a tool for studying neutrino mass and mixing parameters, countering recent theoretical assertions.

Findings

Muons exhibit joint oscillating spatial distributions when produced with neutrinos.

Muon oscillations persist in decay vertices after summing over neutrino states.

Potential use of muon oscillations as a probe for neutrino properties.

Abstract

Recent theoretical claims not withstanding, muons can and do oscillate. Muons produced in association with neutrinos (if masses and mixing angles are nonzero) exhibit a joint oscillating spatial distribution. The possible use of muon oscillations as a probe of neutrino mass and mixing parameters is discussed using very simple physical arguments. Space-time oscillations in the secondary decay vertices of muons (produced by pion decay) persist after summing over all undetected neutrinos.