6533b861fe1ef96bd12c4647
RESEARCH PRODUCT
Derivation of spontaneously broken gauge symmetry from the consistency of effective field theory II: Scalar field self-interactions and the electromagnetic interaction
J. GegeliaJ. GegeliaDalibor DjukanovicUlf-g. MeißnerUlf-g. MeißnerUlf-g. Meißnersubject
High Energy Physics - TheoryNuclear and High Energy PhysicsNuclear TheorySpontaneous symmetry breakingFOS: Physical sciences01 natural sciencesStandard ModelVector bosonNuclear Theory (nucl-th)Theoretical physicsHigh Energy Physics - LatticeHigh Energy Physics - Phenomenology (hep-ph)0103 physical sciencesEffective field theoryddc:530Gauge theory010306 general physicsGauge symmetryPhysics010308 nuclear & particles physicsElectroweak interactionHigh Energy Physics - Lattice (hep-lat)lcsh:QC1-999High Energy Physics - PhenomenologyHigh Energy Physics - Theory (hep-th)Scalar fieldlcsh:Physicsdescription
We extend our study of deriving the local gauge invariance with spontaneous symmetry breaking in the context of an effective field theory by considering self-interactions of the scalar field and inclusion of the electromagnetic interaction. By analyzing renormalizability and the scale separation conditions of three-, four- and five-point vertex functions of the scalar field, we fix the two couplings of the scalar field self-interactions of the leading order Lagrangian. Next we add the electromagnetic interaction and derive conditions relating the magnetic moment of the charged vector boson to its charge and the masses of the charged and neutral massive vector bosons to each other and the two independent couplings of the theory. We obtain the bosonic part of the Lagrangian of the electroweak Standard Model as a unique solution to the conditions imposed by the self-consistency conditions of the considered effective field theory.
year | journal | country | edition | language |
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2019-01-01 |