Statistical Significance of spectral lag transition in GRB 160625B

Abstract

Recently Wei et al (arXiv:1612.09425) have found evidence for a transition from positive time lags to negative time lags in the spectral lag data of GRB 160625B. They have fit these observed lags to a sum of two components: an assumed functional form for intrinsic time lag due to astrophysical mechanisms and an energy-dependent speed of light due to quadratic and linear Loren tz invariance violation (LIV) models. Here, we examine the statistical significance of the evidence for a transition to nega tive time lags. Such a transition, even if present in GRB 160625B, cannot be due to an energy dependent speed of light as th is would contradict previous limits by some 3-4 orders of magnitude, and must therefore be of intrinsic astrophysical origin . We use three different model comparison techniques: a frequentist test and two information based criteria (AIC and BIC). From the frequentist model comparison test, we find that the evidence for transition in the spectral lag data is favored at $3.05\sigma$ and $3.74\sigma$ for the linear and quadratic models respectively. We find that $\Delta$AIC and $\Delta$BIC have values $\gtrsim$ 10 for the spectral lag transition that was motivated as being due to quadratic Lorentz invariance vio lating model pointing to "decisive evidence". We note however that none of the three models (including the model of intr insic astrophysical emission) provide a good fit to the data.

arXiv comment6 pages, 1 figure

References in corpus (23)

• Planck 2015 results. XIII. Cosmological parameters
• Modern tests of Lorentz invariance
• Information criteria for astrophysical model selection
• Quantum Spacetime Phenomenology
• Testing Einstein's special relativity with Fermi's short hard gamma-ray burst GRB090510
• How many cosmological parameters?
• Constraints on Lorentz Invariance Violation from Fermi-Large Area Telescope Observations of Gamma-Ray Bursts
• Lorentz-violation-induced arrival delays of cosmological particles
• What Do We Know About Lorentz Invariance?
• Robust Limits on Lorentz Violation from Gamma-Ray Bursts
• Light speed variation from gamma-ray bursts
• Lorentz violation from gamma-ray bursts
• Light speed variation from gamma ray burst GRB 160509A
• A New Test of Lorentz Invariance Violation: the Spectral Lag Transition of GRB 160625B
• A comprehensive comparison of cosmological models from latest observational data
• Probes of Lorentz Violation
• Robust model comparison disfavors power law cosmology
• Classification of Gamma-Ray Burst durations using robust model-comparison techniques
• Constraining the Lorentz invariance violation from the continuous spectra of short gamma-ray bursts
• A search for evidence of solar rotation in Super-Kamiokande solar neutrino dataset
• Comment on "Bayesian Analysis of Pentaquark Signals from CLAS Data", with Response to the Reply by Ireland and Protopopsecu
• Frequentist model comparison tests of sinusoidal variations in measurements of Newton's gravitational constant
• Statistical Issues in Neutrino Physics Analyses

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