Constraining low scale gravity with ultrahigh energy neutrinos

Abstract

We show that LSG model predictions of event ratios are clearly distinguished from those of the SM. This is true in all models of ultrahigh energy (UHE) neutrino sources, in both $\nu_e:\nu_{\mu}:\nu_{\tau} = 1:1:1$ and $\nu_e:\nu_{\mu}:\nu_{\tau} = 1:2:0$ scenarios for the flux incident on earth. In particular the ratios of upward $\mu$ events to upward shower events and the ratios of up events to down events are different by a factor of 2 to an order of magnitude in the comparisons between SM and LSG. $\nu_{\tau}$ rates are low but show high sensitivity to SM vs LSG interaction physics.