Lorentz violation in the Higgs sector and the noncommutative standard model

2013/02/20 by S. Aghababaei, M. Haghighat, Ali Kheirandish +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Computer science #Cosmology and Gravitation Theories #Extension (predicate logic) #Field (mathematics) #Geometry #Higgs boson #Higgs field #Higgs sector #Lorentz transformation #Mathematical physics #Mathematics #Noncommutative algebraic geometry #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Noncommutative quantum field theory #Particle physics #Physics #Pure mathematics #Quantum mechanics #Standard Model (mathematical formulation) #Symmetry (geometry) #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.87.047703

published as Phys. Rev. D 87, 047703, 2013 · 10 pages, to appear in PRD

arxiv created 2013/02/20 · openalex publication_date 2013/02/27 · arxiv updated 2015/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

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