Compton Scattering in the Presence of Lorentz and CPT Violation

Abstract

We examine the process of Compton scattering, in the presence of a Lorentz- and CPT-violating modification to the structure of the electron. We calculate the complete tree-level contribution to the cross section; our result is valid to all orders in the Lorentz-violating parameter. We find a cross section that differs qualitatively from the Klein-Nishina result at small frequencies, and we also encounter a previously undescribed complication that will arise in the calculation of many Lorentz-violation cross sections: The Lorentz violation breaks the spin degeneracy of the external states, so we cannot use a closure relation to calculate the unpolarized cross section.

arXiv comment11 pages

References in corpus (23)

• Lorentz-Violating Extension of the Standard Model
• CPT Violation and the Standard Model
• Stability, Causality, and Lorentz and CPT Violation
• Constraints on Lorentz violation from clock-comparison experiments
• Planck-scale deformation of Lorentz symmetry as a solution to the UHECR and the TeV-$\gamma$ paradoxes
• CPT and Lorentz Tests in Hydrogen and Antihydrogen
• Limit on Lorentz and CPT Violation of the Neutron Using a Two-Species Noble-Gas Maser
• CPT and Lorentz Tests in Penning Traps
• One-Loop Renormalization of Lorentz-Violating Electrodynamics
• Invariance Violation Extends the Cosmic Ray Horizon ?
• Testing CPT with Anomalous Magnetic Moments
• Probing The Structure of Space-Time with Cosmic Rays
• Cross Sections and Lorentz Violation
• Exact calculation of the radiatively-induced Lorentz and CPT violation in QED
• TeV Astrophysics Constraints on Planck Scale Lorentz Violation
• Past electron-positron g-2 experiments yielded sharpest bound on CPT violation for point particles
• Limit on Lorentz and CPT Violation of the Proton Using a Hydrogen Maser
• Is there evidence for cosmic anisotropy in the polarization of distant radio sources?
• Signals for CPT and Lorentz Violation in Neutral-Meson Oscillations
• Observational Limits on Quantum Geometry Effects
• Measurement of B0d - B0d-bar mixing rate from the time evolution of dilepton events at the Upsilon(4S)
• Radiatively-Induced Lorentz and CPT Violating Chern-Simons Term in QED
• On reaction thresholds in doubly special relativity

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• Parity-odd and CPT-even electrodynamics of the SME at Finite Temperature
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• Stars and quark stars in bumblebee gravity
• Aspects of Electrodynamics Modified by Some Dimension-five Lorentz Violating Interactions
• Ultrarelativistic Bose-Einstein Gas on Lorentz Symmetry Violation
• Tree-level processes in very special relativity
• Electrodynamics Modified by Some Dimension-five Lorentz Violating Interactions: Radiative Corrections
• Influence of Lorentz-violating terms on a two-level system
• Lorentz-violating nonminimal coupling contributions in mesonic hydrogen atoms and generation of photon higher-order derivative terms
• A dimension five Lorentz-violating nonminimal coupling for mesons in the KLZ model
• Testing Photons' Bose-Einstein Statistics With Compton Scattering
• Single-Particle Quantum Mechanics of the Free Klein-Gordon Equation with Lorentz Violation
• Dalitz Plot Kinematics for a Lorentz-Violating Three-Body Decay
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