Some constraints on new physics by atmospheric neutrinos

TL;DR

This paper analyzes how atmospheric neutrino oscillation data constrains possible new physics effects in neutrino propagation, focusing on specific parameters that should be small.

Contribution

It provides analytic arguments showing certain new physics parameters in neutrino oscillations must be small based on atmospheric neutrino data.

Findings

Constraints on |_{e}| and |_{}| are established.

The parameter |_{} - |_{e}|^2/(1+_{ee}) is constrained to be small.

Analytic expressions relate new physics parameters to observable oscillation probabilities.

Abstract

From the analytic oscillation probability for high energy atmospheric neutrinos in the presence of new physics in propagation, it is argued that the components $|\epsilon_{e\mu}|$ and $|\epsilon_{\mu\tau}|$ as well as the quantity $|\epsilon_{\tau\tau}-|\epsilon_{e\tau}|^2/(1+\epsilon_{ee})|$ should be small.