Scope
Chapter “The admissibility frontier”, section “an odd resonance moment retains the sign”. This is assertion 1 of 3 in that section.
Expanded claim page · assertion 1 of 3
an odd resonance moment retains the sign
Experiment / protocolBuilder
Defines a measurement, sensitivity calculation or empirical decision rule. constructs a model, mechanism, calculation, protocol or intervention.
Exact assertion
The missing phase reference can be supplied by a calibrated continuum with the same quantum numbers. Near a narrow diphoton pole, write the amplitude as \(B+S/(x+i\gamma)\), where \(x=m_{\gamma\gamma}^2-m_a^2\). The above-minus-below bin difference is \(4BSx/(x^2+\gamma^2)\): the leading continuum square and signal square cancel, while the sign of the resonant residue remains.
What this commits us to
The claim concerns a protocol, sensitivity or decision rule. It must be kept separate from a prediction that a nonzero signal exists.
Logical anatomy
Evidence posture
Separate predicted signal from sensitivity, calibration and decision protocol.
Research move
constructs a model, mechanism, calculation, protocol or intervention.
Verification route
- Recover the declared objects and assumptions from the controlling documents.
- Check the calculation, construction, obstruction or stopping rule on those same objects.
- Compare the source conclusion with the exact assertion above; do not strengthen its verbs or enlarge its domain.
- Apply the status rule and retain every named external dependency.
What would move or defeat this claim
Specify the apparatus, calibration, null distribution, preregistered threshold and independently predicted effect size.
Source map
Controlling documents
- admissibility 117 an odd resonance moment can supply the missing signOpen controlling document →
- admissibility 116 the minimal second gauge detector needs a phase referenceOpen controlling document →
- admissibility 74 one family triangle and global positivity gateOpen controlling document →