Determining neutrino absorption spectra at ultra-high energies

A very efficient method for measuring the flux of ultra-high energy ( UHE) neutrinos is through the detection of radio waves which are emitted by the particle shower in the lunar regolith. The highest acceptance is reached for radio waves in the frequency band of 100 - 200 MHz which can be measured with modern radio telescopes. In this work we investigate the sensitivity of this detection method to structures in the UHE neutrino spectrum caused by their absorption on the low energy relic anti-neutrino background through the Z boson resonance. The position of the absorption peak is sensitive to the neutrino mass and the redshift of the source. A new generation of low frequency digital radio telescopes will provide excellent detection capabilities for measuring these radio pulses, thus making our consideration here very timely.