Comprehensive Analysis of Neutrinos in SK part I --Directions of the Incident Neutrinos and the Produced Leptons--

TL;DR

This paper critically examines the Super-Kamiokande assumption that the observed lepton's direction matches the incident neutrino's direction, revealing that this assumption is statistically invalid based on a stochastic analysis of physical processes.

Contribution

The study provides a theoretical evaluation demonstrating that the common assumption in neutrino oscillation analysis is not statistically justifiable.

Findings

The assumption does not hold even statistically.

Physical processes introduce significant deviations.

Implications for neutrino oscillation analysis accuracy.

Abstract

Super-Kamiokande collaboration assumes that the direction of every observed lepton coincides with the incoming direction of the incident neutrino, which is the fundamental basement throughout all their analysis on neutrino oscillation. We examine whether this assumption to explain the experimental results on neutrino oscillation is theoretically acceptable. Treating every physical process concerned stochastically, we have examined if this assumption just cited is acceptable. As the result of it, we have shown that this assumption does not hold even if statistically.