On the cosmic-ray energy scale of the LOFAR radio telescope

Cosmic rays are routinely measured at LOFAR, both with a dense array of antennas and an array of plastic scintillators. We compare the reconstruction of cosmic-ray energy using radio and particle techniques and show that they are in good agreement. We also present the radiation energy of air showers measured at LOFAR. This value scales quadratically with the electromagnetic energy in an air shower, which can in turn be related to the energy of the primary particle. Once the local magnetic field is accounted for, the radiation energy allows for a direct comparison between the LOFAR energy scale and that of the Pierre Auger Observatory, which are shown to be in agreement. This technique demonstrates the potential to cross-calibrate the energy scales of different experiments using radiation energy.