Bounds on Relativistic Deformed Kinematics from the Physics of the Universe Transparency

Abstract

We analyze the kinematics of electron-positron production in a photon-photon interaction when one has a modification of the special relativistic kinematics as a power expansion in the inverse of a new high-energy scale. We derive the equation for the threshold energy of this reaction to first order in this expansion, including the effects due to a modification of the energy-momentum conservation equation. In contrast with the Lorentz invariance violation case, a scale of the order of a few TeV is found to be compatible with the observations of very high-energy cosmic gamma rays in the case of a modification compatible with the relativity principle.

14 pages, paper published in Symmetry

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• Constraints on the deformation scale of a geometry in the cotangent bundle
• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• Two-body decays in deformed relativity
• Modification of the mean free path of very high energy photons due to a relativistic deformed kinematics
• 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