Bounds on Plack-scale deformation of CPT from lifetimes and interference

TL;DR

This paper explores how quantum gravity-induced deformations of relativistic symmetries could cause measurable effects on particle lifetimes and oscillations, providing bounds on the deformation scale using current and future collider data.

Contribution

It derives bounds on the quantum gravity deformation parameter ppa from experimental measurements of particle lifetimes and interference phenomena, linking theoretical models to observable consequences.

Findings

Muon lifetime measurements constrain ppa > 10^{14} GeV at LHC energies.

Future colliders could improve this bound to ppa > 10^{16} GeV.

Interference effects in neutral mesons set weaker bounds on ppa, e.g., > 10^{8} GeV for B_s mesons.

Abstract

Deformed relativistic kinematics, expected to emerge in a flat-spacetime limit of quantum gravity, predicts violation of discrete symmetries at energy scale in the vicinity of the Planck mass. Momentum-dependent deformations of the C, P and T invariance are derived from the \k{appa}-deformed Poincar\'e algebra. Deformation of the CPT symmetry leads to a subtle violation of Lorentz symmetry. This entails some small but measurable phenomenological consequences, as corrections to characteristics of time evolution: particle lifetimes or frequency of flavour oscillations in two-particle states at high energy. We argue here that using current experimental precisions on the muon lifetime one can bound the deformation parameter \k{appa} > 10^14 GeV at LHC energy and move this limit even to 10^16 GeV at Future Circular Collider, planned at CERN. Weaker limits on deformation can be also obtained from interference of neutral mesons. In case of B0s from {\Upsilon} decay it amounts to \k{appa} > 10^8 GeV at confidence level 99%.