On the detection of TeV gamma-rays from GRB with km-cube neutrino telescopes --- I. Muon event rate from single GRBs

Abstract

This is a preliminary study to examine the prospect of detecting TeV photons from $\gamma$-ray bursts (GRB) using km-size neutrino telescopes, specifically for the ANTARES neutrino telescope. Although optimized to detect upgoing neutrino-induced muons, neutrino telescopes nevertheless have a potential to detect high-energy photons by detecting downgoing muons from the electromagnetic cascade induced by the interaction of TeV photons with the Earth's atmosphere. The photon energy spectrum of a GRB is modeled by a simple power law and is normalized by simple energy considerations. Taking into account the absorption of TeV photons by cosmic infrared backgrounds, an optical depth table calculated from a model by \cite{fin10} is used and the arriving number of photons on top of the Earth atmosphere is determined. Muon production in the atmosphere is determined by considering two main channels of muon production: Pion photoproduction and direct muon pair production. The muon energy loss during their traverse from the surface to the bottom of the sea is determined using the standard muon energy loss formula. Assuming different detector sizes, the number of detectable muons from single GRB events located at different redshifts and zenith distances is determined. The background is calculated assuming it consists primarily of cosmic ray-induced downgoing muons. The detection significance is calculated and it can be concluded that to obtain at least $3\sigma$ detection significance, a typical GRB has to be located at redshift $z\lesssim 0.07$ if the detector's muon effective area is $A_{\mathrm{eff}}^{\mu }\sim 10^{-2}{\mathrm{km}}^2$, or redshift $z\lesssim 0.15$, if the muon effective area is $A_{\mathrm{eff}}^{\mu }\sim 1{\mathrm{km}}^2$.

Thirteen pages, 14 figures. Accepted for publication in MNRAS

References in corpus (11)

• Very-High-Energy Gamma Rays from a Distant Quasar: How Transparent Is the Universe?
• A Complete Catalog of Swift GRB Spectra and Durations: Demise of a Physical Origin for Pre-Swift High-Energy Correlations
• A Comprehensive Analysis of Fermi Gamma-Ray Burst Data. I. Spectral Components and Their Possible Physical Origins of LAT/GBM GRBs
• Fermi Large Area Telescope Constraints on the Gamma-ray Opacity of the Universe
• MAGIC upper limits on the very high energy emission from GRBs
• Confirming the gamma-ray burst spectral-energy correlations in the era of multiple time breaks
• The redshift distribution of gamma-ray bursts revisited
• Prompt GeV-TeV Emission of Gamma-Ray Bursts Due to High-Energy Protons, Muons and Electron-Positron Pairs
• Broadband Spectral Properties of Bright High-Energy Gamma-Ray Bursts Observed with BATSE and EGRET
• Very High Energy Observations of Gamma-Ray Burst Locations with the Whipple Telescope
• Gamma-ray Astronomy with Muons: Sensitivity of IceCube to PeVatrons in the Southern Sky