Constraints on modified dispersion relations

TL;DR

This paper investigates how observational data constrain modifications to the standard dispersion relations of electrons and photons, focusing on high-momentum deviations and their parametric limitations.

Contribution

It demonstrates that observational constraints restrict the parameter space for high-power momentum modifications similarly across different theoretical forms.

Findings

Constraints limit the parameter space for high-power dispersion modifications.

The shape of the constrained region is similar to previous models with cubic momentum dependence.

Observational data effectively restrict deviations from standard dispersion relations.

Abstract

Deviation from standard dispersion relations for electrons and photons in the form of an extra term proportional to an arbitrarily high power of momentum is studied. It is shown that observational constraints lead to a region in the parametric space that is similar in shape to the region obtained earlier in a theory in which the extra term was proportional to third power of momentum.