Higgs signal strengths

Higgs signal-strength couplings — DCT inherits SM at LHC.

Prediction	\(\mu_{\rm Higgs}\) couplings = SM
Measured	ATLAS+CMS Run-2 combination: \(\mu \approx 1.0\)
Residual	0.0σ
Status	PASS
Source paper	DCT-SM-01

Mechanism

DCT does not modify the SM Higgs sector at LHC scales. The McKay 2I → E₈ correspondence selects the SM gauge group \(\mathrm{SU}(3) \times \mathrm{SU}(2) \times \mathrm{U}(1)\) and locks the electroweak vacuum to its measured value; Higgs mass and signal strengths inherit the SM predictions exactly. No supersymmetric partners, dark photons, or fourth-generation states are forced.

Derivation

McKay 2I → E₈ embedding (DCT-SM-01) selects \(\mathrm{SU}(3) \times \mathrm{SU}(2) \times \mathrm{U}(1)\) as the SM gauge group, with the electroweak vacuum at the measured value. The Higgs sector inherits the SM Lagrangian; no scalar-tie-field mixing enters at LHC energies because the conformal-wall theorem suppresses the \((P-1)\) correction by \(c_{BD}^{-1} \sim 10^{-5}\).

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.

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: higgs-mass.

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

ATLAS+CMS Higgs
Source paper: DCT-SM-01

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