  The effects of Lorentz Invariance Violation(LIV) operators up to dimension 6
in long baseline neutrino experiments are discussed, in specific for DUNE and
T2K. A phenomenological Lagrangian is proposed followed by a computation of the
effective Hamiltonian of neutrino propagation in matter for mass eigenstates.
It is shown that the simplest dimension 4 Lorentz violation parameter can
decrease DUNE sensitivity to neutrino mass hierarchy. Also, a $\chi^2$ analysis
is performed to obtain the expected long-baseline constraints to the LIV
operators up to dimension 6.
