Threshold anomalies of ultra-high energy cosmic photons due to Lorentz invariance violation
Hao Li, Bo-Qiang Ma

TL;DR
This paper explores how Lorentz invariance violation could alter the expected behavior of ultra-high energy cosmic photons, potentially explaining recent observations and predicting new phenomena like optical transparency and threshold reappearance.
Contribution
It identifies novel threshold anomalies caused by LIV that could explain recent PeV photon detections and suggests future observations to test LIV effects.
Findings
LIV can cause optical transparency for ultra-high energy photons.
Threshold reduction and reappearance phenomena are predicted.
Recent PeV photon events support the need to consider LIV effects.
Abstract
From special relativity, photon annihilation process \HepProcess{{\Pgg}{\Pgg}{\to}{\Pep}{\Pem}} prevents cosmic photons with energies above a threshold to propagate a long distance in cosmic space due to their annihilation with low energy cosmic background photons. However, modifications of the photon dispersion relation from Lorentz invariance violation~(LIV) can cause novel phenomena beyond special relativity to happen. In this paper, we point out that these phenomena include optical transparency, threshold reduction and reappearance of ultra-high energy photons in cosmic space. The recent observation of near and above PeV photon events by the LHAASO Collaboration reveals the necessity to consider the threshold anomalies. Future observations of above threshold photons from extragalactic sources can testify LIV properties of photons.
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