The early high-energy afterglow emission from short GRBs

We calculate the high energy afterglow emission from short Gamma-Ray Bursts (SGRBs) in the external shock model. There are two possible components contributing to the high energy afterglow: electron synchrotron emission and synchrotron self-Compton (SSC) emission. We find that for typical parameter values of SGRBs, the early high-energy afterglow emission in 10 MeV-10 GeV is dominated by synchrotron emission. For a burst occurring at redshift z = 0.1, the high-energy emission can be detectable by Fermi LAT if the blast wave has energy E ? 10⁵¹ ergs and the fraction of electron energy ? _e ? 0.1. This provides a possible explanation for the high energy tail of SGRB 081024B.