Gravitational and electromagnetic Cherenkov radiation constraints in modified dispersion relations

TL;DR

This paper investigates how modified dispersion relations, inspired by quantum gravity, can lead to vacuum Cherenkov radiation, providing constraints on Lorentz invariance violation parameters using ultra high energy cosmic ray data.

Contribution

It introduces a class of Lorentz invariance violating dispersion relations for different particles and analyzes their implications for vacuum Cherenkov radiation and related constraints.

Findings

Identified kinematic regions for vacuum Cherenkov radiation.

Computed energy loss rates due to electromagnetic and gravitational Cherenkov radiation.

Estimated bounds on Lorentz violation parameters from cosmic ray observations.

Abstract

Motivated by different approaches to quantum gravity, one could consider that Lorentz invariance is not an exact symmetry of nature at all energy scales. Following this spirit, modified dispersion relations have been used to encapsulate quantum gravity phenomenology. In the present work, we propose a class of Lorentz invariance violating phenomenological dispersion relations, which could be different for each particle species, to study the generalized vacuum Cherenkov radiation process. We identify the kinematic regions where the process is allowed and then compute the energy loss rate due to the emission of vacuum electromagnetic and gravitational Cherenkov radiation. Furthermore, we estimate constraints for the Lorentz invariance breaking parameters of protons and gravitons taking into account the existence (or absence) of vacuum gravitational Cherenkov radiation using ultra high energy cosmic ray detections.