Particle-antiparticle asymmetry in a relativistic deformed kinematics

TL;DR

This paper investigates how relativistic deformed kinematics, with non-commutative momentum addition, can lead to particle-antiparticle asymmetry and CPT violation, affecting muon decay lifetimes.

Contribution

It introduces a novel ordering prescription in deformed kinematics that generates particle-antiparticle asymmetry and explores its impact on CPT symmetry and muon decay.

Findings

Demonstrates CPT violation due to non-commutative momentum addition.

Predicts measurable differences in muon and antimuon lifetimes.

Links high-energy scale parameters to observable asymmetries.

Abstract

Relativistic deformed kinematics are usually considered as a way to capture residual effects of a fundamental quantum gravity theory. These kinematics present a non-commutative addition law for the momenta, so that the total momentum of a multi-particle system depends on the specific ordering in which the momenta are composed. We explore in the present work how this property may be used to generate an asymmetry between particles and antiparticles through a particular ordering prescription, resulting in a violation of CPT symmetry. We study its consequences for muon decay, obtaining a difference in the lifetimes of the particle and the antiparticle as a function the new high-energy scale parameterizing such a relativistic deformed kinematics.