On the effects at colliding mu-meson beams

TL;DR

This paper explores how weak interactions, including neutral and charged currents, could influence muon-antimuon scattering and conversion to electron-positron pairs, potentially revealing neutral currents and explaining mass differences.

Contribution

It provides calculations indicating that observing P-odd effects in these processes could confirm the existence of neutral currents and shed light on muon-electron mass differences.

Findings

P-odd effects could indicate neutral currents presence

Calculations support weak interaction influence on muon processes

Potential explanation for muon-electron mass difference

Abstract

Possible influence of the weak interaction on the $\mu^+ + \mu^- \to \mu^+ + \mu^- $ scattering and the $\mu^+ + \mu^- \to e^+ + e^- $ reaction, both through the neutral lepton currents and the charged ones (in the second order on weak constant), are considered. The calculations show that $P$ - odd effects in the mentioned processes would prove the existence of the neutral currents which, in their turn, give the principal basis for explanation of the mass difference of a muon and an electron from the point of view of Ref. [1].