Journal
SYMMETRY-BASEL
Volume 12, Issue 8, Pages -Publisher
MDPI
DOI: 10.3390/sym12081298
Keywords
quantum gravity; deformed kinematics; DSR; high-energy gamma-rays; pair production
Categories
Funding
- Spanish grants (FEDER/Agencia estatal de investigacion) [PGC2018-095328-B-I00]
- DGAFSE grant [E21-20R]
- COST Action [CA18108]
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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.
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