Warped extra dimension and inclined events at Pierre Auger Observatory

TL;DR

This paper derives a symmetric, periodic warp factor solution in Randall-Sundrum models and uses it to predict neutrino-induced inclined event rates at Pierre Auger Observatory, setting bounds on fundamental gravity scales.

Contribution

It introduces a new symmetric, periodic warp factor solution in Randall-Sundrum models and applies it to neutrino event rate predictions at Auger Observatory.

Findings

Lower bound on the fundamental gravity scale M_5 derived from Auger data

Estimated ratio of Earth-skimming to downward-going neutrino events as a function of M_5

Predicted event rates for neutrino-induced inclined events in the context of warped extra dimensions

Abstract

The generalized solution for the warp factor of the Randall-Sundrum metric is presented which is symmetric with respect to both branes and explicitly periodic in extra variable. Given that the curvature of the 5-dimensional space-time is small, the expected rate of neutrino-induced inclined events at the Surface Detector of the Pierre Auger Observatory is calculated. Both the "downward-going" (DG) and "Earth-skimming" (ES) neutrinos are considered. By comparing the expected event rate with the recent Auger data on searching for neutrino candidates, the lower bound on the fundamental gravity scale M_5 is obtained. The ratio of the number of the ES air showers to the number of the DG showers is estimated as a function of M_5.