Non-universal relativistic kinematics

TL;DR

This paper systematically derives constraints imposed by the relativity principle on deformed relativistic kinematics, generalizing previous results to particle-dependent cases with potential phenomenological applications.

Contribution

It introduces a generalized framework for particle-dependent relativistic kinematics, extending prior work to include new phenomenological scenarios.

Findings

Derived constraints between kinematic coefficients

Generalized to particle-dependent kinematics

Explored phenomenological implications

Abstract

We present a systematic derivation of the constraints that the relativity principle imposes between coefficients of a deformed (but rotational invariant) momentum composition law, dispersion relation, and momentum transformation laws, at first order in a power expansion of an ultraviolet energy scale. This work generalizes previous results to the case of particle-dependent relativistic kinematics, which can have interesting phenomenological applications that we explore in the second part of the manuscript.