Abstract
We show the prospects of probing neutral-current nonstandard 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 ${\ensuremath{\nu}}_{\ensuremath{\tau}}$ appearance with the ${\ensuremath{\nu}}_{\ensuremath{\mu}}$ disappearance. Based on our simulated results, the 10 years of data taking of the atmospheric neutrinos can enormously improve the bounds on the NSI parameters ${ϵ}_{\ensuremath{\mu}\ensuremath{\tau}},|{ϵ}_{\ensuremath{\mu}\ensuremath{\mu}}\ensuremath{-}{ϵ}_{\ensuremath{\tau}\ensuremath{\tau}}|$, ${ϵ}_{e\ensuremath{\mu}}$, ${ϵ}_{e\ensuremath{\tau}}$ and $|{ϵ}_{\ensuremath{\mu}\ensuremath{\mu}}\ensuremath{-}{ϵ}_{ee}|$ by a couple of orders of magnitudes. In addition, we show the expected correlations between the $CP$-violation phase ${\ensuremath{\delta}}_{CP}$ and the NSI parameters ${ϵ}_{e\ensuremath{\mu}},{ϵ}_{e\ensuremath{\tau}}$, and $|{ϵ}_{ee}\ensuremath{-}{ϵ}_{\ensuremath{\mu}\ensuremath{\mu}}|$ and confirm the potentials of DUNE, HK, KNO (combined with HK) in excluding the ``No $CP$ violation'' hypothesis at $1\ensuremath{\sigma}$, $2\ensuremath{\sigma}$, and $3\ensuremath{\sigma}$, respectively.
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