Astroparticle Physics Tests of Lorentz Invariance Violation

Abstract

Testing Lorentz invariance is essential as it is one of the pillars of modern physics. Moreover, its violation is foreseen in several popular Quantum Gravity models. Several authors study the effects of Lorentz invariance violation (LIV) in the propagation of ultra-high energy cosmic rays. These particles are the most energetic events ever detected and therefore represent a promising framework to test LIV. In this work we present an analytic calculation of the in-elasticity for any $a+b\to c+d$ interaction using first order perturbation in the dispersion relation that violates Lorentz invariance. The inelasticity can be calculated by solving a third-order polynomial equation containing: a) the kinematics of the interaction, b) the LIV term for each particle and c) the geometry of the interaction. We use the inelasticity we calculate to investigate the proton propagation in the intergalactic media. The photopion production of the proton interaction with the CMB is taken into account using the inelasticity and the attenuation length in different LIV scenarios. We show how the allowed phase space for the photopion production changes when LIV is considered for the interaction. The calculations presented here are going to be extended in order to calculated the modified ultra-high energy cosmic rays spectrum and compare it to the data.

References in corpus (14)

• High-Energy Tests of Lorentz Invariance
• Modern tests of Lorentz invariance
• The Pierre Auger Cosmic Ray Observatory
• Probing The Structure of Space-Time with Cosmic Rays
• Transparency of the Universe to gamma rays
• Loop Quantum Gravity and Ultra High Energy Cosmic Rays
• Lorentz Invariance Violation and the Observed Spectrum of Ultrahigh Energy Cosmic Rays
• SimProp: a Simulation Code for Ultra High Energy Cosmic Ray Propagation
• Planck-scale Lorentz violation constrained by Ultra-High-Energy Cosmic Rays
• Lorentz Invariance Violation and the Spectrum and Source Power of Ultrahigh Energy Cosmic Rays
• Testing Lorentz Invariance with Ultra High Energy Cosmic Ray Spectrum
• Lorentz Invariance Violation and Chemical Composition of Ultra High Energy Cosmic Rays
• Cosmic Rays and the Search for a Lorentz Invariance Violation
• Testing Violations of Lorentz Invariance with Cosmic Rays

Cited by in corpus (3)

• Neutrino oscillations and Lorentz Invariance Violation in a Finslerian Geometrical model
• Constraints on Lorentz Invariance and CPT Violation using Optical Photometry and Polarimetry of Active Galaxies BL Lacertae and S5 B0716+714
• Improved Constraints on Anisotropic Birefringent Lorentz Invariance and CPT Violation from Broadband Optical Polarimetry of High Redshift Galaxies