https://doi.org/10.1140/epjp/s13360-022-02920-3
Regular Article
Modification of the mean free path of very high-energy photons due to a relativistic deformed kinematics
1
Departamento de Física Teórica, Universidad de Zaragoza, 50009, Zaragoza, Spain
2
Centro de Astropartículas y Física de Altas Energías (CAPA), Universidad de Zaragoza, 50009, Zaragoza, Spain
3
Dipartimento di Fisica “Ettore Pancini”, Università di Napoli Federico II, 80125, Napoli, Italy
4
INFN, Sezione di Napoli, 80125, Naples, Italy
5
Departamento de Física, Universidad de Burgos, 09001, Burgos, Spain
Received:
1
December
2021
Accepted:
5
June
2022
Published online:
4
July
2022
Ultra-high-energy physics is about to enter a new era thanks to the impressive results of experiments such as the Large High Altitude Air Shower Observatory, detecting photons of up to 
eV (PeV scale). These new results could be used to test deviations with respect to special relativity. While this has been already explored within the approach of Lorentz Invariance Violation theories, in this work we consider, for the first time, modifications due to a relativistic deformed kinematics (which appear in Doubly Special Relativity, or DSR, theories). In particular, we study the mean free path of very high-energy photons due to electron-positron pair creation when interacting with low-energy photons of the cosmic microwave background. Depending on the energy scale of the relativistic deformed kinematics, present (or near future) experiments can be sensitive enough to be able to identify deviations from special relativity.
© The Author(s) 2022
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