  Gamma-ray bursts (GRBs) are among the most luminous sources in the universe.
The nature of their emission at TeV energies is one of the most relevant open
issues related to these events. The temporal and spectral features inferred
from the early and late emissions usually known as prompt and afterglow,
respectively, can be interpreted within the context of the fireball model. The
synchrotron self-Compton process is expected during the afterglow phase. We
explain how the theoretical SSC light curves can be compared with hypothetical
upper limit located at z=0.3. We show the allowed parameter space of the
microphysical parameters and density of the circumburst medium. The most
restrictive results are obtained when the SSC process lies in the fast cooling
regime
