Studying the physics potential of long-baseline experiments in terms of new sensitivity parameters

TL;DR

This paper explores new parameters derived from neutrino oscillation probabilities to enhance the sensitivity of long-baseline experiments in constraining the leptonic CP-violation phase and determining the mass hierarchy.

Contribution

It introduces and analyzes two novel sensitivity parameters, $A^M$ and $A^{CP}$, for better understanding of $ heta_{13}$ and mass hierarchy in neutrino experiments.

Findings

Parameters $A^M$ and $A^{CP}$ vary with beam energy and baseline.

Sign of $A^{CP}$ indicates mass hierarchy in specific energy ranges.

Improved detection techniques are crucial for tighter bounds on $ heta_{13}$ and $ heta_{23}$.

Abstract

We investigate physics opportunities to constraint leptonic CP-violation phase $\delta_{CP}$ through numerical analysis of working neutrino oscillation probability parameters, in the context of long base line experiments. Numerical analysis of two parameters, the " transition probability $\delta_{CP}$ phase sensitivity parameter ($A^M$) " and " CP-violation probability $\delta_{CP}$ phase sensitivity parameter ($A^{CP}$) ", as function of beam energy and/or base line has been preferably carried out. It is an elegant technique to broadly analyze different experiments to constraint $\delta_{CP}$ phase and also to investigate mass hierarchy in the leptonic sector. The positive and negative values of parameter $A^{CP}$ corresponding to either of hierarchy in the specific beam energy ranges, could be a very promising way to explore mass hierarchy and $\delta_{CP}$ phase. The keys to more robust bounds on $\delta_{CP}$ phase are improvements of the involved detection techniques to explore bit low energy and relatively long base line regions with better experimental accuracy.