Bound on a diffuse flux of ultra-high energy neutrinos in the ADD model

TL;DR

This paper derives upper bounds on ultra-high energy neutrino fluxes within the ADD model with extra dimensions, using Pierre Auger Observatory data and assuming a specific flux energy dependence.

Contribution

It provides new constraints on neutrino fluxes in the ADD model, improving previous bounds based on non-detection data from PAO.

Findings

Upper bounds on neutrino flux parameter k are established.

Bounds depend on the number of extra dimensions n and the gravity scale M_D.

Results can surpass existing bounds from the Pierre Auger Collaboration.

Abstract

The search for ultra-high energy downward-going and Earth-skimming cosmic neutrinos by the Surface Detector array of the Pierre Auger Observatory (PAO) is analyzed in the ADD model with n extra flat spatial dimensions. We assumed that the diffuse neutrino flux dN_nu/dE_nu$ is equal to k E_nu^(-20) in the energy range 10^(17) eV - 2.5 10^(19) eV. Taking into account that no neutrino events where found by the PAO, we have estimated an upper bound on a value of k. It is shown that this bound can be stronger than the upper bound on k recently obtained by the Pierre Auger Collaboration, depending on n and (n+4)-dimensional gravity scale M_D.