We consider the process of collision between a hard photon and a soft photon producing an electron-positron pair, under the assumption that the kinematics be described according to the $\kappa$-deformation of the D=4 Poincar\'{ e} algebra. We emphasize the relevance of this analysis for the understanding of the puzzling observations of multi-TeV photons from Markarian 501. We find a significant effect of the $\kappa$-deformation for processes above threshold, while, in agreement with a previous study, we find that there is no leading-order deformation of the threshold condition.
Categories: hep-th astro-ph gr-qc