Absorption of TeV Photons and κ-Deformation of Relativistic Symmetries

It is shown how the increase of classical threshold for hard photon absorption on far infrared background can be achieved with the use of deformed kinematics, described by κ-deformation of Poincaré symmetries in bicrossproduct basis. We consider the dependence of absorption threshold on the scattering angles for ingoing photons as well as outgoing e − e pair. We discuss in detail the threshold values for head-on collision of incoming photons under the assumption of equipartition of energy between outgoing e−e pair. It appears that the absorption takes only place for finite range of hard photon energies E0 ≤ E ≤ Emax, and for soft photon energies ε > εmin. In particular the effect of considering the deformed addition law for threemomenta is taken into account and discussed. PACS numbers:11.30.Cp, 95.85.Gn, 98.70.Vc.