Constraining Lorentz invariance violation from the depth of air-shower maximum

arXiv:2608.05106 · astro-ph.HE, hep-ph · Submitted 2026-08-05 · Read on arXiv

Nickolay S. Martynenko, Grigory I. Rubtsov, Petr S. Satunin, Andrey K. Sharofeev, Sergey V. Troitsky

astro-ph.HE, hep-ph

Submitted: 2026-08-05

Comments: 16 pages, 4 figures. To be submitted to Phys. Rev. D

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Calibration — 14× in this paper · explained in 7 episodes
• Regularization — 9× in this paper · explained in 3 episodes
• Monte Carlo — 4× in this paper
• Accuracy — 2× in this paper · explained in 1 episode
• Effective Field Theory — 1× in this paper
• Effective Field Theory (EFT) — 1× in this paper · explained in 2 episodes
• Objective Function — 1× in this paper · explained in 2 episodes

Sources

• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• Lorentz-Violating Extension of the Standard Model
• Data Tables for Lorentz and CPT Violation
• Lorentz violation at high energy: concepts, phenomena and astrophysical constraints
• Testing effects of Lorentz invariance violation in the propagation of astroparticles with the Pierre Auger Observatory
• Bounds on Lorentz invariance violation from muon fluctuations at the Pierre Auger Observatory
• Lorentz Invariance Violation and the QED Formation Length
• On calculation of cross sections in Lorentz violating theories
• Lorentz Violation and Ultrahigh-Energy Photons
• Limits on the Lorentz Invariance Violation from UHECR astrophysics
• Improved limits on Lorentz invariance violation from astrophysical gamma-ray sources
• Constraints on violation of Lorentz invariance from atmospheric showers initiated by multi-TeV photons
• New constraints on Lorentz Invariance violation from Crab Nebula spectrum beyond $100$ TeV
• Two-sided constraints on Lorentz Invariance violation from Tibet-AS$\gamma$ and LHAASO Very-High-Energy photon observations
• Changes in extensive air showers from isotropic Lorentz violation in the photon sector
• Improved bound on isotropic Lorentz violation in the photon sector from extensive air showers
• Photon decay in UHE air showers: stringent bound on Lorentz violation
• A new bound on Lorentz violation based on the absence of vacuum Cherenkov radiation in ultra-high energy air showers
• Shower formation constraints on cubic Lorentz Invariance Violation parameters in quantum electrodynamics
• Depth of Maximum of Air-Shower Profiles above 10^17.7 eV Measured with the Fluorescence Detector of the Pierre Auger Observatory

Related papers

• Numerical Studies of Accretion Flows onto a Neutron Star Engulfed in a Massive Star
• Collisionless Accretion of Finite-Angular-Momentum Plasma onto a Spinning Black Hole
• Impact of Magnetic Field Topology on Electromagnetic and Gravitational Waves from Binary Neutron Star Merger Remnants
• XRISM Resolve Spectroscopy of GX 5-1: Constraints on Iron Spectral Features in a Luminous Neutron-Star Binary
• SN 1006: A Cosmic Laboratory for Investigating Shock Acceleration Physics
• Neutrino Spectral Pinching in 3D Core-Collapse Supernovae: Late-Time Convergence, Failed-Explosion Signatures, and Viewing-Angle Dispersion