Probing Non-unitary $CP$ Violation effects in Neutrino Oscillation Experiments

In the present work, we have considered minimal unitarity violation(MUV) scheme, to obtain the general expression for $ν_μ\rightarrowν_τ$ oscillation probability, in vacuum. For this channel, we have investigated the sensitivities to non-unitary parameters $|ρ_{μτ}|$ and $ω_{μτ}$ with short baseline(SBL) experiments for normal as well as inverted hierarchical neutrino masses. We also check how the sensitivity to non-unitary parameters get modified for $θ_{23}$ above and below maximality. We find that the $3σ$ sensitivity towards $|ρ_{μτ}|$ is maximum for non-unitary phase $ω_{μτ}=0$, whereas it is minimum for $ω_{μτ}=\pmπ$ in case of normal hierarchy(NH). However, the sensitivity is minimum at $ω_{μτ}=0$ and maximum for $ω_{μτ}=\pmπ$ for inverted hierarchy(IH). We observe that for unitary $CP$ phase $δ=0$ and $δ=π/2$, the sensitivity to measure non-unitarity remains same in both the cases. We, also, explore wide range of $L/E$ to forecast, in principle, the possibilities to observe $CP$-violation due to unitary($δ$) and non-unitary($ω_{μτ}$) phases. We find that the both phases can be disentangled, in principle, from each other, for the $L/E$ range less than 200 km/GeV for $ν_μ\rightarrowν_τ$ channel.

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