# The NP right-chiral $CC$ coupling constant estimation in neutrino oscillation experiments

## TL;DR

This paper evaluates the error probability in distinguishing the Standard Model with massive neutrinos from its new physics extension in muon neutrino oscillation experiments, demonstrating a very low error bound of about 2.3×10⁻⁶.

## Contribution

It introduces a method to estimate the NP right-chiral CC coupling constant in neutrino oscillation experiments and assesses the robustness and stability of this estimation.

## Key findings

- Error probability of model discrimination is approximately 2.3×10⁻⁶.
- Estimation of the NP coupling constant is stable and robust.
- Upper bound on misidentification error is significantly small.

## Abstract

The error probability of the discrimination of the Standard Model (SM) with massive neutrinos and its new physics (NP) model extension in experiments of the muon neutrino oscillation, following the pion decay $\pi^{+} \rightarrow \mu^{+} + \nu_{\mu}$, is calculated. The stability of the estimation of the NP charged current coupling constant $\varepsilon_{R}$ is analysed and the robustness of this estimation is checked. It is shown that the upper bound on the error probability of erroneous identification of the Standard Model with its NP model extension has reached the significantly small value of approximately $2.3 \times 10^{-6}$.