# New constraints on Lorentz Invariance violation from Crab Nebula spectrum beyond $100$ TeV

## TL;DR

This paper uses recent gamma-ray observations of the Crab Nebula beyond 100 TeV to set new constraints on Lorentz Invariance violation parameters in quantum electrodynamics, improving limits on the Lorentz violating mass scale.

## Contribution

It provides the first two-sided constraints on Lorentz violation parameters using Crab Nebula gamma-ray data beyond 100 TeV, covering both superluminal and subluminal cases.

## Key findings

- Limits on Lorentz violating mass scale for photon splitting: 4.1×10^{14} GeV
- Limits for photon decay: 1.9×10^{13} GeV
- Limits for suppression of shower formation: 1.4×10^{12} GeV

## Abstract

Recently two collaborations, Tibet and HAWC, presented new measurements of gamma-ray spectrum from Crab Nebula \cite{Amenomori:2019rjd},\cite{Abeysekara:2019edl} which continues beyond $100$ TeV. We use these data to establish two-sided constraints on parameters of Lorentz Invariance violation in quantum electrodynamics. The limits on Lorentz violating mass scale for quartic dispersion relation are $4.1\times 10^{14}\ \mbox{GeV}$ (photon splitting) and $1.9\times 10^{13}\ \mbox{GeV}$ (photon decay) for superluminal case, and $1.4\times 10^{12}$ GeV (suppression of shower formation) for subluminal case.