Lorentz and CPT Violation in the Higgs Sector

Abstract

Colladay and Kostelecky have proposed a framework for studying Lorentz and CPT violation in a natural extension of the Standard Model. Although numerous bounds exist on the Lorentz and CPT violating parameters in the gauge boson and fermion sectors, there are no published bounds on the parameters in the Higgs sector. We determine these bounds. The bounds on the CPT-even asymmetric coefficients arise from the one-loop contributions to the photon propagator, those from the CPT-even symmetric coefficients arise from the equivalent c_{μν} coefficients in the fermion sector, and those from the CPT-odd coefficient arise from bounds on the vacuum expectation value of the Z-boson.

17 pages, 1 figure, 1 table; Clarifications and changes to text, results unchanged. References added. Version to be published in Physical Review D

References in corpus (2)

• Gravity, Lorentz Violation, and the Standard Model
• Optical cavity tests of Lorentz invariance for the electron

Cited by in corpus (66)

• Data Tables for Lorentz and CPT Violation
• Modern tests of Lorentz invariance
• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• Signals for Lorentz Violation in Post-Newtonian Gravity
• Spontaneous Lorentz Violation, Nambu-Goldstone Modes, and Gravity
• Could dark energy be vector-like?
• Spontaneous Lorentz and Diffeomorphism Violation, Massive Modes, and Gravity
• What Do We Know About Lorentz Invariance?
• The Cherenkov effect in Lorentz-violating vacua
• Lorentz Violation and Short-Baseline Neutrino Experiments
• Overview of the SME: Implications and Phenomenology of Lorentz Violation
• Riemann-Finsler Geometry and Lorentz-Violating Scalar Fields
• Limits on isotropic Lorentz violation in QED from collider physics
• Massive photons and Lorentz violation
• Defect Structures in Lorentz and CPT Violating Scenarios
• Probing Lorentz violation with Doppler-shift experiments
• Time-delay and Doppler tests of the Lorentz symmetry of gravity
• Renormalization of Scalar and Yukawa Field Theories with Lorentz Violation
• The Casimir Force in a Lorentz Violating Theory
• Asymptotic states and renormalization in Lorentz-violating quantum field theory
• Astrophysical Limits on Lorentz Violation for All Charged Species
• A relativistic quantum oscillator subject to a Coulomb-type potential induced by effects of the violation of the Lorentz symmetry
• Lorentz Invariance Breakdown and Constraints from Big-Bang Nucleosynthesis
• On a relativistic scalar particle subject to a Coulomb-type potential given by Lorentz symmetry breaking effects
• Non-local on-shell field redefinition for the SME
• Geometric quantum phases from Lorentz symmetry breaking effects in the cosmic string spacetime
• Search for violation of Lorentz invariance in top quark pair production and decay
• The Higgs mechanism in Finsler spacetimes
• Radiative corrections and Lorentz violation
• Classical solutions for the Carroll-Field-Jackiw-Proca electrodynamics
• Limits on Lorentz violation from forbidden beta decays
• Lorentz Violation and the Yukawa Potential
• Lorentz Violation and the Higgs Mechanism
• Relativistic geometric quantum phases from the Lorentz symmetry violation effects in the CPT-even gauge sector of Standard Model Extension
• Contributions to Pion Decay from Lorentz Violation in the Weak Sector
• Gupta--Bleuler's quantization of the anisotropic parity-even and CPT-even electrodynamics of standard model extension
• Bounds on Lorentz and CPT Violation from the Earth-Ionosphere Cavity
• Lorentz Violation in the Higgs Sector and Noncommutative Standard Model
• Tests of Lorentz Violation in Atomic and Optical Physics
• Lorentz symmetry breaking effects on relativistic EPR correlations
• Lorentz violation and higher-derivative gravity
• Lorentz and CPT Violation in Scalar-Mediated Potentials
• Cavity tests of parity-odd Lorentz violations in electrodynamics
• Lorentz-violating extension of the spin-one Duffin-Kemmer-Petiau equation
• Mirrors and field sources in a Lorentz-violating scalar field theory
• One-loop renormalization of Lorentz/CPT violating scalar field theory in curved space-time
• One-loop structure of the photon propagator in the Standard Model Extension
• Relativistic scalar particle subject to a confining potential and Lorentz symmetry breaking effects in the cosmic string spacetime
• Bounds on Lorentz-violating Yukawa couplings via lepton electromagnetic moments
• The Integrability of Pauli System in Lorentz Violating Background
• On Lorentz invariant complex scalar fields
• Breaking of Lorentz Invariance in Electron-Proton Parity Violation
• Gravitational physics with antimatter
• The Bounds on Lorentz and CPT Violating Parameters in the Higgs Sector
• Effects of Lorentz violation in the Higgs sector of the Minimal Standard Model Extension
• He-McKellar-Wilkens-type effect from the Lorentz symmetry breaking effects
• Asymmetric particle-antiparticle Dirac equation: first quantization
• Atomic and optical tests of Lorentz symmetry
• Tests of Lorentz symmetry using antihydrogen
• Indications against dynamical CPT symmetry restoration in quantum gravity
• Probing Relativity using Space-Based Experiments
• Solution to the $\beta$-functions in Lorentz-violating theories as a decomposition into irreducible representations
• Dynamically broken Lorentz invariance from the Higgs sector?
• Exact Lorentz-violating $q$-deformed O($N$) universality class
• Higgs Field-Induced Triboluminescence in Binary Black Hole Mergers
• Regimes of $3D$ Yang--Mills theory in the presence of a constant vector background