Nonstandard interaction of atmospheric neutrino in future experiments

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