2008/08/31 by Damiano Anselmi · 3 citations
Mathematics · Physics and Astronomy · #Bispinor #Black Holes and Theoretical Physics #CPT symmetry #Discrete mathematics #Fermion #Gauge (firearms) #Graph #Invariant (physics) #Lorentz covariance #Lorentz transformation #MAJORANA #Mathematical physics #Mathematics #Neutrino #Noncommutative and Quantum Gravity Theories #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Standard Model (mathematical formulation) #Theoretical physics #Unitary state #Vertex (graph theory) #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.79.025017
published as Phys.Rev.D79:025017,2009 · 26 pages; v2: more references and comments, PRD
openalex publication_date 2009/01/23 · arxiv created 2009/01/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the standard-model extensions that have the following features: they violate Lorentz invariance explicitly at high energies; they are unitary, local, polynomial and renormalizable by weighted power counting; they contain the vertex (LH)2, which gives Majorana masses to the neutrinos after symmetry breaking, and possibly four fermion interactions; they do not contain right-handed neutrinos, nor other extra fields. We study the simplest CPT invariant standard-model extension of this type in detail and prove the cancellation of gauge anomalies. We investigate the low-energy recovery of Lorentz invariance and comment on other types of extensions.