A Relational Argument for a $\sim$PeV Neutrino Energy Cutoff

Understand

We present a relationship, E_\nu^{max} = m_{\nu} M_{Planck}/M_{weak}, among the highest observed neutrino energy (~PeV) and the neutrino mass, the weak scale, and the Planck energy.

• We then discuss some tests of this relationship, and present some theoretical constructs which motivate the relationship.
• It is possible that all massive particles are subject to maximum energies given by similar relationships, although only the neutrino seems able to offer interesting phenomenology.
• We discuss implications which include no neutrino detections at energies greater than PeV, and changes in expectations for the highest energy cosmic rays.