SUSY Renormalization Group Effects in Ultra High Energy Neutrinos

Abstract

We have explored the question of whether the renormalization group running of the neutrino mixing parameters in the Minimal Supersymmetric Standard Model is detectable with ultra-high energy neutrinos from active galactic nuclei (AGN). We use as observables the ratios of neutrino fluxes produced at the AGN, focusing on four different neutrino production models: $({\Phi }_{{\nu }_e+{\bar{\nu }}_e}^0:{\Phi }_{{\nu }_{\mu }+{\bar{\nu }}_{\mu }}^0:{\Phi }_{{\nu }_{\tau }+{\bar{\nu }}_{\tau }}^0)$ = (1:2:0), (0:1:0), (1:0:0), and (1:1:0). The prospects for observing deviations experimentally are taken into consideration, and we find out that it is necessary to impose a cut-off on the transferred momentum of $Q^2\ge 10^7$ GeV${}^2$. However, this condition, together with the expected low value of the diffuse AGN neutrino flux, yields a negligible event rate at a km-scale Cherenkov detector such as IceCube.

Comments: 26 pages, 9 figures. Version accepted for publication in JHEP