Gravity effects in inclined air showers induced by cosmic neutrino

TL;DR

This paper investigates how gravity effects from a specific extra-dimensional model influence ultra-high energy cosmic neutrino interactions, predicting detectable air shower signatures at the Auger Observatory.

Contribution

It introduces calculations of neutrino-nucleon cross sections within the Randall-Sundrum model with small curvature and predicts observable effects in inclined air showers.

Findings

Massive graviton excitations affect neutrino interactions.

Detectable signals in inclined air showers are predicted.

Number of air showers depends on model parameters.

Abstract

The Randall-Sundrum model with a small curvature is considered in which five-dimensional Planck scale lies in the TeV region, and a spectrum of Kaluza-Klein gravitons reminds that in one flat extra dimension. The cross sections for interactions of ultra-high energy cosmic neutrinos with nucleons are calculated. It is shown that effects related with massive graviton excitations can be detected in deeply penetrating inclined air showers induced by these neutrinos. The expected number of air showers at the Auger Observatory is estimated as a function of two parameters of the model.