Sensitivity of the IceCube detector to astrophysical sources of high energy muon neutrinos

We present results of a Monte Carlo study of the sensitivity of the planned IceCube detector to predicted fluxes of muon neutrinos at TeV to PeV energies. A complete simulation of the detector and data analysis is used to study the detector's capability to search for muon neutrinos from potential sources such as active galaxies and gamma-ray bursts (GRBs). We study the effective area and the angular resolution of the detector as a function of muon energy and angle of incidence. We present detailed calculations of the sensitivity of the detector to both diffuse and pointlike neutrino fluxes, including an assessment of the sensitivity to neutrinos detected in coincidence with GRB observations. After three years of data taking, lceCube will be able to detect a point-source flux of E-v(2) x dN(v)/dE(v) = 7 x 10(-9) cm(-2) s(-1) GeV at a 5sigma significance, or, in the absence of a signal, place a 90% c.l. limit at a level of E-v(2) x dN(v)/dE(v) = 2 x 10(-9) cm(-2) s(-1) GeV. A diffuse E-2 flux would be detectable at a minimum strength of E-v(2) x dN(v)/dE(v) = 10(-8) cm(-2) s(-1) sr(-1) GeV. A GRB model following the formulation of Waxman and Bahcall would result in a 5sigma effect after the observation of 200 bursts in coincidence with satellite observations of the gamma rays. (C) 2003 Elsevier B.V. All rights reserved.