Cosmic neutrinos at IceCube: $\theta_{13}$, $\delta$ and initial flavor composition

TL;DR

This paper explores how cosmic neutrino observations at IceCube can help determine neutrino mixing parameters $ heta_{13}$ and $ ext{delta}$, and assess initial flavor composition deviations, considering measurement uncertainties.

Contribution

It proposes using the ratio of muon-track to shower events to extract neutrino mixing parameters and initial flavor composition from cosmic neutrino data.

Findings

Potential to measure $ heta_{13}$ and $ ext{delta}$ from cosmic neutrino data.

Assessment of initial flavor composition deviations possible with neutrino telescopes.

Analysis of uncertainties affecting parameter extraction.

Abstract

We discuss the prospect of extracting the values of the mixing parameters $\delta$ and $\theta_{13}$ through the detection of cosmic neutrinos in the planned and forthcoming neutrino telescopes. We take the ratio of the muon-track to shower-like events, R, as the realistic quantity that can be measured in the neutrino telescopes. We take into account several sources of uncertainties that enter the analysis. We then examine to what extent the deviation of the initial flavor composition from w_e:w_\mu:w_\tau=1:2:0 can be tested.