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

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Bibliographic Details
Title: Search for Lorentz Invariance Violation with spectral lags of GRB 190114C using profile likelihood.
Authors: Ramakrishnan, Vyaas1 (AUTHOR) vyaas3305@gmail.com, Desai, Shantanu1 (AUTHOR) shntn05@gmail.com
Source: International Journal of Modern Physics D: Gravitation, Astrophysics & Cosmology. Feb2026, Vol. 35 Issue 3, p1-9. 9p.
Subjects: Lorentz invariance, Frequentist statistics, Physical constants, Bayesian analysis, Planck scale, Gamma ray bursts, Maximum likelihood statistics
Abstract: 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 χ 2 as a function of energy scale of LIV ( E Q G ), well below the Planck scale. The best-fit 1 σ central intervals for E QG are given by 2. 8 1 − 0. 3 7 + 0. 5 0 × 1 0 1 4 GeV and 9. 8 5 − 0. 6 0 + 0. 8 4 × 1 0 5 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. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
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Abstract: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 χ 2 as a function of energy scale of LIV ( E Q G ), well below the Planck scale. The best-fit 1 σ central intervals for E QG are given by 2. 8 1 − 0. 3 7 + 0. 5 0 × 1 0 1 4 GeV and 9. 8 5 − 0. 6 0 + 0. 8 4 × 1 0 5 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. [ABSTRACT FROM AUTHOR]
ISSN:02182718
DOI:10.1142/S0218271825501019