Constraints on Lorentz Invariance Violation from Gamma-ray Burst rest-frame spectral lags using Profile Likelihood

Abstract

We reanalyze the spectral lag data for 56 Gamma-Ray Bursts (GRBs) in the cosmological rest frame to search for Lorentz Invariance Violation (LIV) using frequentist inference. For this purpose, we use the technique of profile likelihood to deal with the nuisance parameters, corresponding to a constant time lag in the GRB rest frame and an unknown intrinsic scatter, while the parameter of interest is the energy scale for LIV ($E_{QG}$). With this method, we do not obtain a global minimum for ${\chi }^2$ as a function of $E_{QG}$ up to the Planck scale. Thus, we can obtain one-sided lower limits on $E_{QG}$ in a seamless manner. Therefore, the 95\% c.l. lower limits which we thus obtain on $E_{QG}$ are then given by: $E_{QG}\ge 2.07\times 10^{14}$ GeV and $E_{QG}\ge 3.71\times 10^5$ GeV, for linear and quadratic LIV, respectively.

9 pages, 6 figures. Accepted in Universe

References in corpus (6)

• Lorentz-violation-induced arrival delays of cosmological particles
• New constraint on Early Dark Energy from Planck and BOSS data using the profile likelihood
• Comparing the spectral lag of short and long gamma-ray bursts and its relation with the luminosity
• New constraint on the tensor-to-scalar ratio from the $Planck$ and BICEP/Keck Array data using the profile likelihood
• A Further Test of Lorentz Violation from the Rest-Frame Spectral Lags of Gamma-Ray Bursts
• Profile Likelihoods in Cosmology: When, Why and How illustrated with $\Lambda$CDM, Massive Neutrinos and Dark Energy

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