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

The High-Energy Behavior of Photon, Neutrino and Proton Cross Sections