Constraints on TeV Emission from GRBs from the GeV Extragalactic Diffuse Gamma-Ray Flux

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Abstract
TeV gamma rays emitted by GRBs are converted into electron‐positron pairs through absorption processes off the extragalactic infrared radiation fields. In turn the pairs produced, whose trajectories are randomized by magnetic fields, inverse Compton scatter off the cosmic microwave background photons. The beamed TeV gamma ray flux from GRBs is thus transformed into a GeV energy isotropic flux, which contributes to the total extragalactic gamma‐ray background emission. Assuming a model for the extragalactic radiation fields, for the GRB redshift distribution and for the GRB luminosity function, we use the measured GRB flux in MeV range to set upper limits on the GRB emission in the TeV energy range that is predicted in several models.

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