Modification of the mean free path of very high energy photons due to a relativistic deformed kinematics

Abstract

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" (LHAASO), detecting photons of up to $1.4\times 10^{15}$ 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 (LIV) 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.

12 pages, 5 figures, v2: Substantial changes. Accepted version to appear in European Physics Journal Plus

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Cited by in corpus (7)

• White Paper and Roadmap for Quantum Gravity Phenomenology in the Multi-Messenger Era
• Time delays, choice of energy-momentum variables and relative locality in doubly special relativity
• A new perspective on Doubly Special Relativity
• Relativistic deformed kinematics: from flat to curved spacetimes
• Cosmic Neutrinos as a Window to Departures from Special Relativity
• Experimental Bounds on Deformed Muon Lifetime Dilation
• Photon Absorption in a Doubly Special Relativity Model with Undeformed Free Propagation and Total Momentum Conservation