  By combining the color dipole model of the nucleon with the assumption that
cross sections behave asymptotically as $\ln^2(s)$, we are able to describe the
data for photon, neutrino and hadron interactions with protons at all energies,
$s$ is the center-of-mass energy of the interacting particles. Specifically, we
extrapolate the perturbative QCD calculations into the regime of small
fractional parton momenta $x$ using a color dipole description of the proton
target that guarantees an asymptotic $\ln^2(s)$ behavior of all cross sections.
The ambiguity of introducing a parametrization associated with the dipole
approximation is mitigated by the requirement that the saturation of the
small-$x$ structure functions produces $\ln^2(s)$-behaved asymptotic cross
sections, in agreement with the data. The same formalism allows us to calculate
the cross section for the hadronic pair production of charm particles. The
results, in particular those for the high-energy neutrino and charm cross
sections, are relevant for evaluating the sensitivity as well as the background
in neutrino telescopes.
