English

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

High Energy Physics - Phenomenology 2020-08-25 v1 High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.2008.10251,
  title  = {Bounds on Relativistic Deformed Kinematics from the Physics of the Universe Transparency},
  author = {J. M. Carmona and J. L. Cortés and L. Pereira and J. J. Relancio},
  journal= {arXiv preprint arXiv:2008.10251},
  year   = {2020}
}

Comments

14 pages, paper published in Symmetry