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Non-Standard Interaction of atmospheric neutrino in future experiments

We show the prospects of probing neutral-current non-standard interaction (NSI) in the propagation of atmospheric neutrinos in future large-volume neutrino experiments including DUNE, HK, KNO, and ORCA. For DUNE, we utilize its ability of identifying the tau neutrino event and combine the $ν_τ$ appearance with the $ν_μ$ disappearance. Based on our simulated results, the ten years of data taking of the atmospheric neutrinos can enormously improve the bounds on the NSI parameters $\varepsilon_{μτ}, | \varepsilon_{μμ} - \varepsilon_{ττ} |$, $\varepsilon_{e μ}$, $\varepsilon_{e τ}$ and $| \varepsilon_{μμ} - \varepsilon_{e e} |$ by a couple of orders of magnitudes. In addition, we show the expected correlations between the CP-violation phase $δ_{CP}$ and the NSI parameters $\varepsilon_{eμ}, \varepsilon_{eτ}$, and $|\varepsilon_{ee} - \varepsilon_{μμ}|$ and confirm the potentials of DUNE, HK, KNO (combined with HK) in excluding the "No CP violation" hypothesis at 1$σ$, 2$σ$, and 3$σ$, respectively.