Time-reversal symmetry violation in several Lepton-Flavor-Violating processes

TL;DR

This paper investigates time-reversal symmetry violation in lepton-flavor-violating processes, deriving simple relations involving CP phases, and explores how these correlations can distinguish different Left-Right symmetric models.

Contribution

It provides a new method to analyze T-odd correlations in muon decay and conversion, linking them to CP phases and using them to differentiate Left-Right symmetry types.

Findings

Derived simple expressions for T-odd correlations in terms of CP phases.

Showed that these correlations can distinguish between Parity and Charge-conjugation symmetries.

Identified conditions under which the correlations are experimentally observable.

Abstract

We compute a T-odd triple vector correlation for the $\mu\rightarrow e\gamma $ decay and the $\mu\rightarrow e$ conversion process. We find simple results in terms of the CP violating phases of the effective Hamiltonians. Then we focus on the minimal Left-Right symmetric extension of the Standard Model, which can lead to an appreciable correlation. We show that under rather general assumptions, this correlation can be used to discriminate between Parity or Charge-conjugation as the discrete Left-Right symmetry.