Lifetime of flying particles in canonical Doubly Special Relativity

TL;DR

This paper investigates how doubly special relativity models modify the predicted lifetime of unstable particles, considering invariant speed of light and altered phase space transformations.

Contribution

It introduces a framework for analyzing lifetime corrections in doubly special relativity with invariant phase space structures.

Findings

Lifetime corrections depend on the specific doubly special relativity model.

The invariance of phase space influences particle decay predictions.

Results suggest measurable deviations from standard relativity in high-energy regimes.

Abstract

We discuss the corrections to the lifetime of unstable elementary particles in some models of doubly special relativity. We assume that the speed of light is invariant and that the position coordinates transform in such a way to ensure the invariance of the deformed symplectic structure of phase space.