Search for Lorentz Invariance Violation with spectral lags of GRB 190114C using profile likelihood

We search for Lorentz Invariance Volation (LIV) by re-analyzing the spectral lag data for GRB 190114C from Fermi-GBM using frequentist analysis, where we deal with the astrophysical nuisance parameters using profile likelihood. For this use case, we find a global minima for the [Formula: see text] as a function of energy scale of LIV ([Formula: see text]), well below the Planck scale. The best-fit [Formula: see text] central intervals for [Formula: see text] are given by [Formula: see text] GeV and [Formula: see text] GeV for linear and quadratic LIV, respectively, and agree with the Bayesian estimates obtained so far in a previous work. Therefore, the results from frequentist analysis GRB 190114C agree with Bayesian analysis.