High-Energy Neutrinos from Gamma Ray Bursts

We treat high-energy neutrino production in gamma ray bursts (GRBs). Detailed calculations of photomeson neutrino production are presented for the collapsar model, where internal nonthermal synchrotron radiation is the primary target photon field, and the supranova model, where external pulsar-wind synchrotron radiation provides important additional target photons. Detection of $\gtrsim 10\mathrm{T}\mathrm{e}\mathrm{V}$ neutrinos from GRBs with Doppler factors $\gtrsim 200$, inferred from $\gamma$-ray observations, would support the supranova model. Detection of $\lesssim 10\mathrm{T}\mathrm{e}\mathrm{V}$ neutrinos is possible for neutrinos formed from nuclear production. Only the most powerful bursts at fluence levels $\gtrsim 3\times {10}^{-4}\mathrm{e}\mathrm{r}\mathrm{g}\mathrm{c}{\mathrm{m}}^{\mathrm{-}\mathrm{2}}$ offer a realistic prospect for detection of ${\nu }_{\mu }$.