Distinguishing nonstandard interaction and Lorentz invariance violation at the Protvino to super-ORCA experiment

As the two phenomena nonstandard interaction (NSI) in neutrino propagation and Lorentz invariance violation (LIV) modify Hamiltonian of oscillation a similar fashion, it is very difficult to distinguish these effects. The only difference between them lies fact that NSI depends on matter density, whereas LIV independent earth effect. Therefore for fixed baseline experiment, where density constant, theories describing are exactly equivalent. However, as present future bounds parameters not equivalent, one can scenarios long-baseline experiments depending their statistics with respect parameters. In this paper, we attempt differentiate context DUNE P2SO, believed be sensitive strongest effect will have large statistics. Taking data theory, our results show indeed possible good discrimination NSI. best separation at $3\ensuremath{\sigma}\text{ }\text{ }\mathrm{C}.\mathrm{L}.$ achieved parameter ${a}_{\ensuremath{\mu}\ensuremath{\mu}}$ P2SO. case, value parameter, which possible, within its bound if considers constrained by experiments. Between latter has better sensitivity such discrimination.