Bound on a flux of ultra-high energy neutrinos in a scenario with extra dimensions

TL;DR

This paper derives an upper limit on ultra-high energy neutrino flux within extra-dimensional models and estimates the expected neutrino detection rate at the Pierre Auger Observatory.

Contribution

It introduces a method to constrain neutrino flux in ADD models based on flux assumptions and detector capabilities.

Findings

Upper bounds on neutrino flux parameter k for various extra dimensions and gravity scales.

Estimated neutrino-induced event rates at Pierre Auger Observatory.

Constraints inform future searches for extra-dimensional effects in neutrino observations.

Abstract

Assuming that a single-flavor diffuse neutrino flux dN_nu/dE_nu is equal to k*E_nu^(-2) in the energy range 10^(17) eV - 2.5*10^(19) eV, an upper bound on k is calculated in the ADD model as a function of the number of extra dimensions n and gravity scale M_D. An expected number of neutrino induced events at the Surface Detector array of the Pierre Auger Observatory is estimated.