Observable detail · SM

PMNS \(\theta_{12}\) (subordinate)

Prediction / mechanismSubordinate to `pmns-mixing`. PDG \(\sin^2\theta_{12} = 0.307\).
MeasuredNuFIT 2024 \(\sin^2\theta_{12} = 0.307 \pm 0.013\).
Residual / statusSOFT — within bracketing range
StatusSOFT
Source paperDCT-SM-01

Mechanism

PMNS first-row mixing from the lepton-sector polytope partition.

Derivation

The derivation chain follows the cluster paper DCT-SM-01 and reduces to the canonical DCT constants (\(P_0 = 0.851\), \(\omega_0 = 50{,}037\), \(c_{BD} = 138{,}189\), master identity \(2\omega_0 + 3 = c_{BD} \cdot P_0^2 = 100{,}077\)). See the cluster paper for the full multi-line derivation.

Methodology

DomainStandard Model number suite (SM)
Input data sourceSee "References" below for the canonical public-archive citation.
Measurement procedureThe measured value used here is the most recent peer-reviewed central value plus 1σ uncertainty from the cited reference.
Acceptance thresholdHIT: residual within 1σ of measurement. SOFT: directional agreement within bracketing range. OPEN: untested or unresolved.
Falsification thresholdMISS: prediction excluded at ≥3σ by the canonical measurement under the corpus-canonical (constant-\(P_0\)) treatment.
Current statusSee verdict pill above.

Python verification

Verification script: particle_physics_tests.py. Run with python3 particle_physics_tests.py to reproduce the canonical DCT result against the public-archive measurement source listed below.

Cross-references

Related observables: pmns-mixing · pmns-theta23 · pmns-theta13.

Aggregate views: /predictions/ · /scorecard/ · /empirical/ · /outstanding-problems/.

Audit notes

This sub-page is part of the post-build-out of the observable archive (see the observable index). Verdict reflects the corpus-canonical (constant-\(P_0\)) treatment. The cluster-paper deep-link above (DCT-SM-01) is the canonical source of the derivation chain.

References

Back to all observables or the predictions table.