Discriminating between different modified dispersion relations from gamma-ray observations

Abstract

The fact that the standard dispersion relation for photons in vacuum could be modified because of their interaction with the quantum nature of spacetime has been proposed more than two decades ago. A quantitative model [Jacob \& Piran, JCAP 01, 031 (2008)], has been tested extensively using distant highly energetic astrophysical sources, searching for energy-dependent time delays in photon arrival times. Since no delay was firmly measured, lower limits were set on the energy scale $\Lambda$ related to these effects. In recent years, however, different but equally well-grounded expressions beyond the Jacob \& Piran model were obtained for the photon dispersion relation, leading to different expressions for the dependence of lag versus redshift. This article introduces a general parameterization of modified dispersion relations in cosmological symmetry, which directly leads to a general parameterized lag versus redshift dependence encompassing both existing and new models. This parameterization could be used in the future to compare the predicted time lags of the different models and test them against observations. To investigate this possibility, realistic data sets are simulated, mimicking different types of extragalactic sources as detected by current and future instruments. When no lag is injected in the simulated data, each lag-redshift model leads, as expected, to a different value for the limit on $\Lambda$, and the Jacob \& Piran model gives the most stringent bound. When a lag at $\Lambda \sim E_P$ in the Jacob \& Piran model is injected, it is detected for all the other lag-redshift relations considered, although leading to different values. Finally, the possibility to discriminate between several lag-redshift models is investigated, emphasizing the importance of an evenly distributed sample of sources across a wide range of redshifts.

12 pages, 4 figures

References in corpus (35)

• The Large Area Telescope on the Fermi Gamma-ray Space Telescope Mission
• The Fermi Gamma-Ray Burst Monitor
• Nonstandard optics from quantum spacetime
• An Exceptional VHE Gamma-Ray Flare of PKS 2155-304
• Quantum Spacetime Phenomenology
• Testing Einstein's special relativity with Fermi's short hard gamma-ray burst GRB090510
• Variable VHE gamma-ray emission from Markarian 501
• The major upgrade of the MAGIC telescopes, Part II: A performance study using observations of the Crab Nebula
• Discreteness of Space from GUP II: Relativistic Wave Equations
• Teraelectronvolt emission from the $\gamma$-ray burst GRB 190114C
• Probing quantum gravity using photons from a flare of the active galactic nucleus Markarian 501 observed by the MAGIC telescope
• Observation of inverse Compton emission from a long $\gamma$-ray burst
• Constraints on Lorentz Invariance Violation from Fermi-Large Area Telescope Observations of Gamma-Ray Bursts
• Lorentz-violation-induced arrival delays of cosmological particles
• Robust Limits on Lorentz Violation from Gamma-Ray Bursts
• Quantum-Gravity Analysis of Gamma-Ray Bursts using Wavelets
• Derivation of a Vacuum Refractive Index in a Stringy Space-Time Foam Model
• Search for Lorentz Invariance breaking with a likelihood fit of the PKS 2155-304 flare data taken on MJD 53944
• Bounds on Lorentz invariance violation from MAGIC observation of GRB 190114C
• Hamilton geometry: Phase space geometry from modified dispersion relations
• Modified Dispersion Relations lead to a finite Zero Point Gravitational Energy
• Robust Constraint on Lorentz Violation Using Fermi-LAT Gamma-Ray Burst Data
• Planck-scale-modified dispersion relations in FRW spacetime
• Speed of particles and a relativity of locality in $\kappa$-Minkowski quantum spacetime
• A new method to study energy-dependent arrival delays on photons from astrophysical sources
• White Paper and Roadmap for Quantum Gravity Phenomenology in the Multi-Messenger Era
• Observations of the Crab Nebula and Pulsar with the Large-Sized Telescope Prototype of the Cherenkov Telescope Array
• Constraining Lorentz violations with Gamma Ray Bursts
• Redshift and lateshift from homogeneous and isotropic modified dispersion relations
• Planck-scale-modified dispersion relations in homogeneous and isotropic spacetimes
• Stringent Tests of Lorentz Invariance Violation from LHAASO Observations of GRB 221009A
• Probing Quantum Gravity with Imaging Atmospheric Cherenkov Telescopes
• First Combined Study on LIV from Observations of Energy-dependent Time Delays from Multiple-type Gamma-ray Sources -- Part I. Motivation, Method Description and Validation through Simulations of H.E.S.S., MAGIC and VERITAS Datasets
• Phenomenology of curvature-induced quantum-gravity effects
• Constraints on Lorentz invariance violation from the extraordinary Mrk 421 flare of 2014 using a novel analysis method

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