Identifying Galactic PeVatrons with neutrinos

We perform a realistic evaluation of the potential of IceCube, a kilometer-scale neutrino detector under construction at the South Pole, to detect neutrinos in the direction of the potential accelerators of the Galactic cosmic rays. We take fully account of the fact that the measurement of the energy of the secondary muons at the detector can be used to further discriminate between the signal and the background of atmospheric neutrinos. A PeVatron is defined as the accelerator of cosmic rays with energies of several PeV, the knee in the spectrum; it has a hard energy spectrum and produces secondary photons of hundreds of GeV on the interstellar medium. Assuming that the Milagro sources are PeVatrons, an IceCube analysis combining the information from the different sources can reveal them as such at the 3σ level in one year and at the 5σ level in three years. We discuss the dependence of these expectations on the considerable ambiguities associated with the source spectra.