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Low-energy effective field theory below the electroweak scale (LEFT)

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Summary

The effective field theory below the electroweak scale after integrating out the WW, ZZ, Higgs, and top quark. It contains QCD and QED for light fields plus higher-dimension weak and possible beyond-Standard-Model operators.

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Incoming relations (arrows to this concept)

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Fermi theory of weak interactionsLow-energy effective field theory below the electroweak scale (LEFT)

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Fermi four-fermion interactions are leading weak-operator components within the broader low-energy effective field theory.

How to interpret this relation type

The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.

Relation sources

Quantum chromodynamicsLow-energy effective field theory below the electroweak scale (LEFT)

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

QCD for the light quarks and gluons is a renormalizable gauge-sector component of LEFT.

How to interpret this relation type

The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.

Relation sources

Quantum electrodynamicsLow-energy effective field theory below the electroweak scale (LEFT)

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

QED for the light charged fields is a renormalizable gauge-sector component of LEFT.

How to interpret this relation type

The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.

Relation sources

Standard Model of particle physicsLow-energy effective field theory below the electroweak scale (LEFT)

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Below the electroweak scale, integrating out WW, ZZ, Higgs, and top degrees of freedom yields LEFT with QCD, QED, and local higher-dimension operators.

How to interpret this relation type

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.

Relation sources

Standard Model effective field theoryLow-energy effective field theory below the electroweak scale (LEFT)

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

SMEFT matches onto LEFT after electroweak symmetry breaking and integration of heavy Standard Model fields; LEFT Wilson coefficients retain the effects of SMEFT operators.

How to interpret this relation type

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.

Relation sources

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