{
 "id": "LIB2-059",
 "entry_version": 9,
 "class": "CLAIM",
 "title": "The cubic coupling is relevant by the stated power count",
 "statement": "For a canonically normalised two-derivative kinetic term, the source's cubic coupling has mass dimension [c] = (6 − d)/2 and is relevant in d = 4.",
 "scope": {
  "carrier": "The cubic coupling in the source's norm-based model",
  "domain": "Engineering mass dimension and relevance, not an interacting mass prediction.",
  "group": null,
  "hypotheses": [
   "Use the cubic interaction and power-counting convention stated in Remark 6.4."
  ],
  "physical_target": null,
  "quantifier": "The stated cubic model.",
  "real_form": "J3(Os)"
 },
 "source_labels_as_printed": {
  "math_status": "NOT_PRINTED",
  "attachment": "NOT_PRINTED",
  "scorecard_tier_word": null,
  "pdf_page": 209
 },
 "house_tier": null,
 "review_state": "PUBLISHED",
 "scientific_status": "UNDER_REVIEW (house status not yet adjudicated)",
 "evidence_status": [
  {
   "kind": "registry",
   "availability": "shipped"
  }
 ],
 "primary_source": {
  "component": "Appendix I",
  "section": "§6, Remark 6.4(iii): cubic relevance",
  "pdf_page": 219,
  "quote": "the cubic coupling has mass dimension [c] = (6 − d)/2 for a canonically normalised two-derivative kinetic term (a premise, stated Rev32.9), relevant in d = 4 exactly as in ϕ3 theory"
 },
 "caution": "Power-counting relevance does not compute physical mass running or derive a numerical confinement scale.",
 "candidate_ids": [
  "C2-151"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [
  {
   "type": "related_to",
   "target": "LIB2-058"
  }
 ],
 "url": "/library-v2/LIB2-059/",
 "content_sha256": "b9920ce03128fd2bce63ffc028a14930a87f4c17da666c1c3b5611eda679bda4",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}