CKM s_13

Prediction	1/(z·f_v) = 1/240 = 0.00417
Measured	0.00355 (PDG)
Residual	~17% (open ansatz)
Status	soft
Source paper	DCT-SM-01 · 10.5281/zenodo.20032825

Mechanism

s_13 = 1/(z·f_v) = 1/240 ansatz from z = 12, f_v = 20. Open ansatz: residual will tighten when the spectral correction is computed exactly.

Derivation

s_13 = 1/(z·f_v) = 1/240 ansatz from z = 12, f_v = 20. Open ansatz: residual will tighten when the spectral correction is computed exactly.

The closed-form prediction is

$$ \text{predicted} = 1/(z·f_v) = 1/240 = 0.00417 $$

against the measurement 0.00355 (PDG), giving residual ~17% (open ansatz).

Python verification

The verification script for this observable is particle_physics_tests.py. Run it with python3 particle_physics_tests.py to reproduce the canonical DCT result against the public-archive measurement source listed above (PDG 2024.).

Methodology

Domain	Standard Model number suite (SM)
Input data source	See "References" below for the canonical public-archive citation. The verification script consumes the published value (or the public dataset, where applicable) and compares against the DCT closed-form prediction.
Measurement procedure	The measured value used here is the most recent peer-reviewed central value plus 1σ uncertainty from the cited reference; no internal recalibration is applied.
Acceptance threshold	HIT: residual within 1σ of measurement. SOFT: directional agreement, residual within bracketing range. OPEN: untested or unresolved.
Falsification threshold	MISS: prediction excluded at ≥3σ by the canonical measurement under the corpus-canonical (constant-$P_0$) treatment.
Current status	See the verdict pill in the prediction table above.

Cross-references

Related observables in the same domain: ckm-s12 · ckm-s23 · jarlskog-j · sin-theta-13.

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

Audit notes

Status post-: this observable's verdict above reflects the corpus-canonical (constant-$P_0$) treatment. Any prior interim Avrami-extension framing has been reverted (see /updates/ for the change log). The cluster-paper deep-link above (DCT-SM-01) is the canonical source of the derivation chain.

References

PDG 2024
Source paper: DCT-SM-01 · 10.5281/zenodo.20032825

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