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The renormalizable gauge quantum field theory with gauge group , three observed fermion generations, one Higgs doublet, and the strong and electroweak interactions; gravity is not included.
Gauge fields for , three generations of chiral quark and lepton multiplets, and one complex Higgs doublet.
The minimal renormalizable Standard Model has no neutrino-mass term. Observed neutrino oscillations therefore require an extension, such as additional fields or higher-dimension operators.
wp-physics-standard_modelnlab-physics-standard_modelcern-standard-modelpdg-standard-modeltong-particleEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Electroweak theory supplies the sector of the Standard Model.
The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.
pdg-standard-modelcern-standard-modelwp-physics-standard_modelnlab-physics-standard_modelwp-physics-electroweak_theoryThis is an authored directed relation from the source endpoint to the target endpoint.
The Standard Model contains three repeated generations of chiral quark and lepton fields.
The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.
wp-physics-fermion_generationcern-standard-modelThis is an authored directed relation from the source endpoint to the target endpoint.
Gauge-anomaly cancellation is a non-negotiable consistency condition on Standard Model chiral field content.
The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.
wp-physics-quantum_anomalynlab-physics-gauge_anomaly_cancellationbilal-anomaliespdg-standard-modeltong-standard-modelwp-physics-standard_modelnlab-physics-standard_modelcern-standard-modeltong-particleThis is an authored directed relation from the source endpoint to the target endpoint.
The Higgs mechanism is part of the Standard Model electroweak sector.
The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.
cern-higgspdg-standard-modelwp-physics-standard_modelnlab-physics-standard_modelwp-physics-higgs_mechanismThis is an authored directed relation from the source endpoint to the target endpoint.
QCD supplies the strong-interaction sector of the Standard Model.
The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.
pdg-qcdcern-standard-modelwp-physics-standard_modelnlab-physics-standard_modelwp-physics-quantum_chromodynamicsThis is an authored directed relation from the source endpoint to the target endpoint.
QED is the unbroken electromagnetic gauge sector obtained from the Standard Model after electroweak symmetry breaking and field mixing.
The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.
tong-standard-modelpdg-standard-modelThis is an authored directed relation from the source endpoint to the target endpoint.
The Standard Model is built around the color and electroweak gauge group.
The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.
wp-physics-standard_modelnlab-physics-standard_modelwp-physics-standard_model_gauge_groupThis is an authored directed relation from the source endpoint to the target endpoint.
The Standard Model Lagrangian is the central local dynamical component encoding the theory’s fields, gauge symmetries, masses, and interactions.
The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.
wp-physics-standard_model_gauge_groupnlab-physics-standard_modelwp-physics-standard_modelpdg-standard-modeltong-standard-modelEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
The discovery supplied the previously missing scalar excitation of the minimal Standard Model.
The source theory, law, entity, prediction, or structural claim is directly tested, supported, constrained, or established by the target experiment or observation. Experimental support is not final logical proof; the edge detail states exactly what was measured.
wp-physics-higgs_bosoncern-higgs-discoverycern-higgs-overviewpdg-2026-higgsThis is an authored directed relation from the source endpoint to the target endpoint.
The Standard Model specifies fields and interactions for the known elementary particles.
A theory, law, or interaction describes the behavior of the target within a stated regime. The edge detail must state important limits or qualifications.
cern-standard-modelpdg-rppwp-physics-elementary_particlewp-physics-standard_modelnlab-physics-standard_modelThis is an authored directed relation from the source endpoint to the target endpoint.
For the complete chiral fermion content of each Standard Model generation, the hypercharges and color/weak representations cancel the perturbative gauge, mixed gauge–gravitational, and cubic hypercharge anomalies. An isolated chiral multiplet generally does not.
Record a genuine theorem implication that is not part of the target definition; these edges may point toward a weaker structure.
wp-physics-quantum_anomalynlab-physics-gauge_anomaly_cancellationbilal-anomaliespdg-standard-modeltong-standard-modelThis is an authored directed relation from the source endpoint to the target endpoint.
LEP observables agreed with loop-corrected Standard Model predictions and constrained the number of light active neutrinos.
The source theory, law, entity, prediction, or structural claim is directly tested, supported, constrained, or established by the target experiment or observation. Experimental support is not final logical proof; the edge detail states exactly what was measured.
wp-physics-lep_precision_electroweak_measurementscern-leppdg-standard-modelThis is an authored directed relation from the source endpoint to the target endpoint.
Below the electroweak scale, integrating out , , Higgs, and top degrees of freedom yields LEFT with QCD, QED, and local higher-dimension operators.
The target retains the degrees of freedom and interactions relevant below a stated scale or within a stated regime, while higher-energy or unresolved degrees of freedom from the source are integrated out, coarse-grained, or encoded in effective couplings.
jhep-lefttong-standard-modelThis is an authored directed relation from the source endpoint to the target endpoint.
SMEFT extends the Standard Model Lagrangian by higher-dimension operators built from Standard Model fields and symmetries. It is an EFT of unspecified heavy new physics, not an effective reduction of the Standard Model itself.
Equip an existing carrier or structured object with additional chosen data, when such compatible data exists. Use a construction junction when several independently meaningful inputs must coexist on the same carrier or interact compatibly.
wp-physics-effective_field_theorypenco-eftwp-physics-standard_modelnlab-physics-standard_modelThis is an authored directed relation from the source endpoint to the target endpoint.
Discovery completed the quark content required by the established third-generation electroweak doublet.
The source theory, law, entity, prediction, or structural claim is directly tested, supported, constrained, or established by the target experiment or observation. Experimental support is not final logical proof; the edge detail states exactly what was measured.
wp-physics-top_quarkfermilab-toppdg-rpp