Three- and Four-Point Functions in CPT-Even Lorentz-Violating Scalar QED
arXiv:2211.11399 · doi:10.1103/PhysRevD.107.045005
Abstract
The renormalization of quantum field theories usually assumes Lorentz and gauge symmetries, besides the general restrictions imposed by unitarity and causality. However, the set of renormalizable theories can be enlarged by relaxing some of these assumptions. In this work, we consider the particular case of a CPT-preserving but Lorentz-breaking extension of scalar QED. For this theory, we calculate the one-loop radiative corrections to the three- and four-point scalar-vector vertex functions, at the lowest order in the Lorentz violation parameters; and we explicitly verify that the resulting low-energy effective action is compatible with the usual gauge invariance requirements. With these results, we complete the one-loop renormalization of the model at the leading order in the Lorentz-violating parameters.
arXiv comment18 pages, matches published version
References in corpus (25)
- FeynRules 2.0 - A complete toolbox for tree-level phenomenology
- Lorentz-Violating Extension of the Standard Model
- Generating Feynman Diagrams and Amplitudes with FeynArts 3
- CPT Violation and the Standard Model
- Data Tables for Lorentz and CPT Violation
- Gravity, Lorentz Violation, and the Standard Model
- One-Loop Renormalization of Lorentz-Violating Electrodynamics
- Testing local Lorentz invariance with gravitational waves
- Constraints on Lorentz violation from gravitational Cherenkov radiation
- Proposed astrophysical test of Lorentz invariance
- Aether Compactification
- Searching for photon-sector Lorentz violation using gravitational-wave detectors
- Consistency in Regularizations of the Gauged NJL Model at One Loop Level
- Systematic Implementation of Implicit Regularization for Multi-Loop Feynman Diagrams
- Aspects of Quantum Corrections in a Lorentz-violating Extension of the Abelian Higgs Model
- Limits on Neutron Lorentz Violation from the Stability of Primary Cosmic Ray Protons
- Lorentz Violation and the Higgs Mechanism
- Lorentz symmetry breaking -- classical and quantum aspects
- Systematization of Basic Divergent Integrals in Perturbation Theory and Renormalization Group Functions
- Lorentz and CPT Violation in Scalar-Mediated Potentials
- Fermionic Lorentz violation and its implications for interferometric gravitational-wave detection
- On perturbative aspects of a nonminimal Lorentz-violating QED with CPT-odd dimension-5 terms
- Renormalization in a Lorentz-violating model and higher-order operators
- One-loop calculations in CPT-even Lorentz-breaking scalar QED
- Effective potential in Lorentz-breaking field theory models
Cited by in corpus (7)
- Nonminimal planar electrodynamics modified by higher-derivative terms
- One-loop radiative corrections in bumblebee-Stueckelberg model
- Perturbative Aspects of CPT-Even Lorentz-Violating Scalar Chromodynamics
- Modified Euler-Heisenberg effective action and Proper-Time Method in Lorentz-Violating Scalar QED
- Two-loop renormalization of the CPT-even Lorentz-violating Scalar QED
- Perturbative S-matrix unitarity and higher-order Lorentz violation
- One-loop contributions in Lorentz-violating scalar QED with nonminimal coupling