Lorentz Violation in the Higgs Sector and Noncommutative Standard Model

Abstract

The noncommutative standard model apparently violates the Lorentz symmetry. We compare the Lorentz violating terms in the Higgs sector of the noncommutative standard model with their counterparts in the standard model extension. We show that the Lorentz violating parameters in the Higgs sector can be expressed directly in terms of the noncommutative parameter without any background field. The absence of the background field enhances the obtained bounds on the noncommutative parameter from the standard model extension.

10 pages, to appear in PRD

References in corpus (29)

• Neutrinos with Lorentz-violating operators of arbitrary dimension
• Search for a Lorentz-violating sidereal signal with atmospheric neutrinos in IceCube
• Lorentz- and CPT-violating models for neutrino oscillations
• Massive photons and Lorentz violation
• Search for Lorentz invariance and CPT violation with muon antineutrinos in the MINOS Near Detector
• Noncommutative Point Sources
• Classical Lagrangians for Momentum Dependent Lorentz Violation
• Lorentz Invariance Violation and Chemical Composition of Ultra High Energy Cosmic Rays
• Lorentz Conserving Noncommutative Standard Model
• Semi-Leptonic Decay of a Polarized Top Quark in the Noncommutative Standard Model
• Computing the θ-exact Seiberg-Witten map for arbitrary gauge groups
• Massive Neutrino in Non-commutative Space-time
• Model dependence of the bremsstrahlung effects from the superluminal neutrino at OPERA
• Lorentz violation induced vacuum birefringence and its astrophysical consequences
• Neutrino propagation in noncommutative spacetimes
• All orders renormalizability of a Lorentz and CPT violating quantum electrodynamics
• Superluminal neutrinos in long baseline experiments and SN1987a
• Lorentz violating kinematics: Threshold theorems
• The Källén-Lehmann representation for Lorentz-violating field theory
• Consequences of Neutrino Lorentz Violation For Leptonic Meson Decays
• Bounds on the Parameter of Noncommutativity from Supernova SN1987A
• TeV Scale Phenomenology of $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}$ Scattering in the Noncommutative Standard Model with Hybrid Gauge Transformation
• Particle phenomenology on noncommutative spacetime
• A model of superluminal neutrinos
• High energy neutrino oscillation at the presence of the Lorentz Invariance Violation
• Bounding Lorentz Violation at Particle Colliders By Tracking the Motion of Charged Particles
• Two-photon annihilation of singlet cold dark matters due to noncommutative space-time
• MINOS Anomaly as A Signal of Lorentz Violation
• A Slant on Warped Extra Dimensions

Cited by in corpus (12)

• Muon anomalous magnetic moment in the standard model extension
• Hydrogen and muonic-Hydrogen Atomic Spectra in Non-commutative Space-Time
• Effects of Lorentz violation through the $\gamma e\to W{\nu }_e$ process in the Standard Model Extension
• Lorentz-violating effects on pair production of W bosons in photon collisions
• Photon propagation in noncommutative QED with constant external field
• One-loop renormalization of Lorentz/CPT violating scalar field theory in curved space-time
• SO(10) GUTs with large tensor representations on Noncommutative Space-time
• The hybrid Seiberg-Witten map, its $\theta$-exact expansion and the antifield formalism
• Higgs Couplings in NonCommutative Standard Model
• Higgs production in $e^{-}{e}^{+}$ collisions as a probe of noncommutativity
• Lorentz violation parameters and noncommutative scale
• $\mathcal{O}(\theta )$ Feynman rules for quadrilinear gauge boson couplings in noncommutative standard model