Bayesian model comparison of Lorentz Invariance Violation using Xiao et al GRB spectral lag catalog

Shantanu Desai, Rajdeep Agrawal, Haveesh Singirikonda

Published 2022-05-25Version 1

We use the spectral lag catalog of 46 short GRBs obtained by Xiao et al (2022), between two fixed energy intervals in the source frame, to carry out an independent search for Lorentz Invariance violation (LIV). For this purpose, we use a power-law model as a function of energy for the intrinsic astrophysical induced spectral lags. The expansion history of the universe needed for the evaluation of LIV was obtained in a non-parametric method using cosmic chronometers. We use Bayesian model comparison to determine if the aforementioned spectral lags show evidence for LIV as compared to only astrophysically induced lags. We do any find any evidence for LIV, and obtain 95\% c.l. lower limits for the energy scale of LIV to be $4 \times 10^{15}$ GeV and $6.8 \times 10^{9}$ GeV for the linear and quadratic LIV models respectively.