A Test of CPT Symmetry in K^0 vs \bar{K}^0 to \pi^+\pi^-\pi^0 Decays

TL;DR

This paper proposes a method to test CPT symmetry by comparing CP-violating asymmetries in specific neutral kaon decays, highlighting a potential way to detect CPT violation in K^0-ar{K}^0 mixing at future experiments.

Contribution

It introduces a novel test of CPT symmetry using decay asymmetries in K^0 and ar{K}^0 decays, distinct from traditional measurements.

Findings

The CP-violating asymmetry in K^0 vs ar{K}^0 o ext{pions} differs if CPT is violated.

Measurement at a super flavor factory can robustly test CPT symmetry.

The approach provides a new avenue for CPT violation detection in the neutral kaon system.

Abstract

I show that the CP-violating asymmetry in K^0 vs \bar{K}^0 \to \pi^+\pi^-\pi^0 decays differs from that in K_L \to \pi^+\pi^-, K_L \to \pi^0\pi^0 or the semileptonic K_L transitions, if there exists CPT violation in K^0-\bar{K}^0 mixing. A delicate measurement of this difference at a super flavor factory (e.g., the \phi factory) will provide us with a robust test of CPT symmetry in the neutral kaon system.