Effect of sidereal variation on time-independent probability analysis in long-baseline experiments

Lorentz symmetry is deeply ingrained at the fundamental level in our best theories of nature such as Einstein's general relativity and the Standard Model (SM) of particle physics. Spontaneous violation of Lorentz symmetry can occur in mechanisms of String Theory. A maximum relative broadening is possible in the DUNE FD at the E of interest. Thus, a non-isotropic LIV component can affect the oscillation channels in DUNE to a maximum extent. Currently, we are working on the possible effect of this broadening in probability on the sensitivity of standard parameters in the above experiments