Scale dependence of the UHECR neutrino flux in extra-dimension models

Ultra high energy cosmic ray (UHECR) neutrino fluxes measured in a fixed target detector can have a scale dependence. In the usual standard model or any extensions of this model (which are renormalizable), the effect is observationally very small. However, this need not be the case in models with extra-spatial dimensions, where the neutrino mass parameter can receive large corrections due to a power-law running. Hence, the scale dependence may lead to a measurable deviation from the standard prediction for the neutrino flux ratio.