Stronger neutrino interactions at extremely high energies and the muon anomalous magnetic moment

A specific model of parity-conserving lepton substructure is considered. We show that a positive-definite contribution to the muon at the possible level of about can be related to a significant increase in the interaction cross section for cosmic-ray neutrinos with energies above about eV. The additional cross section at eV is calculated to be cm, which is about 100 times the standard weak-interaction cross section. The model involves an extremely massive, neutral lepton, with GeV fixed by the new contribution to . Received: 28 May 2001 / Revised version: 13 November 2001 / Published online: 11 January 2002