Analytic formulae for T violation in neutrino oscillations

TL;DR

This paper derives analytical formulas for T violation in neutrino oscillations, considering standard, nonstandard, and unitarity-violating scenarios, and suggests energy spectrum analysis as a probe for new physics.

Contribution

It provides the first comprehensive analytical expressions for T violation across multiple neutrino oscillation frameworks, including new physics scenarios.

Findings

Analytical formulas for T violation in three-flavor neutrino oscillations.

Extension of formulas to nonstandard interactions and unitarity violation.

Energy spectrum analysis as a tool to probe new physics effects.

Abstract

Recently, a concept known as $\mu$TRISTAN, which involves the acceleration of $\mu^+$, has been proposed. This initiative has led to considerations of a new design for a neutrino factory. Additionally, leveraging the polarization of $\mu^+$, measurements of T violation in neutrino oscillations are also being explored. In this paper, we present analytical expressions for T violation in neutrino oscillations within the framework of standard three flavor neutrino oscillations, a scenario involving nonstandard interactions, and a case of unitarity violation. We point out that examining the energy spectrum of T violation may be useful for probing new physics effects.