Constraints on quantum gravity and the photon mass from gamma ray bursts
Abstract
Lorentz invariance violation in quantum gravity (QG) models or a nonzero photon mass, m_{γ}, would lead to an energydependent propagation speed for photons, such that photons of different energies from a distant source would arrive at different times, even if they were emitted simultaneously. By developing sourcebysource, Monte Carlobased forward models for such time delays from gamma ray bursts, and marginalizing over empirical noise models describing other contributions to the time delay, we derive constraints on m_{γ} and the QG length scale, ℓQ_{G}, using spectral lag data from the BATSE satellite. We find m_{γ}<4.0 ×10^{5} h eV /c^{2} and ℓ_{QG}<5.3 ×10^{18} h GeV^{−1} at 95% confidence, and demonstrate that these constraints are robust to the choice of noise model. The QG constraint is among the tightest from studies which consider multiple gamma ray bursts and the constraint on m_{γ}, although weaker than from using radio data, provides an independent constraint which is less sensitive to the effects of dispersion by electrons.
 Publication:

Physical Review D
 Pub Date:
 November 2021
 DOI:
 10.1103/PhysRevD.104.103516
 arXiv:
 arXiv:2109.07850
 Bibcode:
 2021PhRvD.104j3516B
 Keywords:

 General Relativity and Quantum Cosmology;
 Astrophysics  Cosmology and Nongalactic Astrophysics;
 Astrophysics  High Energy Astrophysical Phenomena;
 High Energy Physics  Phenomenology
 EPrint:
 6 pages, 1 figure, 1 table, accepted for publication in Physical Review D