On testing violations of Bose and $CPT$ symmetries via Dalitz plots and Dalitz `prism'

Abstract

Bose symmetry and $CPT$ symmetry are two very fundamental symmetries of Nature. However, the validity of these symmetries in diverse phenomena must be verified by experiments. We propose new techniques to probe these two fundamental symmetries in the realm of mesons by using the Dalitz plot of a few three-body meson decays. Since these symmetries are very fundamental in nature, their violations, if any, are expected to be extremely small. Hence observing their violations requires study of a huge data sample. In this context we introduce a new three-dimensional plot which we refer to as the Dalitz 'prism'. This provides an innovative means for acquiring the huge statistics required for such studies. Using the Dalitz plots and the Dalitz prisms we chart out the way to probe the violations of Bose and $CPT$ symmetries in a significant manner. Since mesons are unstable and composite particles, testing the validity of Bose symmetry and the $CPT$ symmetry in these cases are of paramount importance for fundamental physics.

5 pages, 2 figures; previous version was not the latest draft, had many references missing

References in corpus (7)

• Precise Measurements of Direct CP Violation, CPT Symmetry, and Other Parameters in the Neutral Kaon System
• Laboratory tests of Lorentz and CPT symmetry with muons
• CPT violation and B-meson oscillations
• Tests of CPT and Lorentz symmetry from muon anomalous magnetic dipole moment
• Testing CPT Symmetry with Current and Future CMB Measurements
• Spin-Statistics Violations in Superstring Theory
• Spin-Statistics Violations from Heterotic String Worldsheet Instantons

Cited by in corpus (1)

• A model independent method for quantitative estimation of $SU(3)$ flavor symmetry breaking using Dalitz plot