New physics beyond the electroweak scale may increase weak interaction cros
s sections beyond the standard model predictions. Such cross sections can b
e expected within theories that solve the hierarchy problem of known intera
ctions with a unification scale in the TeV range. We derive constraints on
these cross sections from the Hus of neutrinos expected from cosmic ray int
eractions with the microwave background and the non-observation of horizont
al air showers. We also discuss how this limit can be improved by upcoming
cosmic ray ansi neutrino experiments, and how the energy dependence of the
new interactions can be probed by these experiments.