Search for Lorentz Invariance Violation with spectral lags of GRB 190114C using profile likelihood
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| Natura: | Preprint |
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2025
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| _version_ | 1866910026263691264 |
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| author | Ramakrishnan, Vyaas Desai, Shantanu |
| author_facet | Ramakrishnan, Vyaas Desai, Shantanu |
| contents | We search for Lorentz invariance violation (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 ($E_{QG}$), well below the Planck scale. The best-fit $1σ$ central intervals for $E_{QG}$ are given by $2.81^{+0.50}_{-0.37}\times 10^{14}$ GeV and $9.85^{+0.84}_{-0.60}\times 10^{5}$ GeV for linear and quadratic LIV, respectively, and agree with the Bayesian estimates obtained so far in a previous work. Therefore, the results from the frequentist analysis of GRB 190114C agree with Bayesian analysis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_05737 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Search for Lorentz Invariance Violation with spectral lags of GRB 190114C using profile likelihood Ramakrishnan, Vyaas Desai, Shantanu High Energy Astrophysical Phenomena Instrumentation and Methods for Astrophysics We search for Lorentz invariance violation (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 ($E_{QG}$), well below the Planck scale. The best-fit $1σ$ central intervals for $E_{QG}$ are given by $2.81^{+0.50}_{-0.37}\times 10^{14}$ GeV and $9.85^{+0.84}_{-0.60}\times 10^{5}$ GeV for linear and quadratic LIV, respectively, and agree with the Bayesian estimates obtained so far in a previous work. Therefore, the results from the frequentist analysis of GRB 190114C agree with Bayesian analysis. |
| title | Search for Lorentz Invariance Violation with spectral lags of GRB 190114C using profile likelihood |
| topic | High Energy Astrophysical Phenomena Instrumentation and Methods for Astrophysics |
| url | https://arxiv.org/abs/2506.05737 |