# P8: [Proof Group C] HIGGS MASS FROM J3(Os) — ZERO-FREE-PARAMETER PROOF

**Category:** proof_prompt | **Kernel:** PHAT v1.27.5 | **Status:** PENDING

## Prompt

HIGGS MASS FROM J3(Os) — ZERO-FREE-PARAMETER PROOF
Prove that the Higgs self-coupling lambda_H = 8/63 arises from the dimension counting of J3(Os): 27 total - 1 trace - 8 diagonal off-block = 18 off-diagonal, derive the ratio 8/63 from the algebra. Then show m_H = v*sqrt(16/63) ~ 124.08 GeV. Compare to PDG m_H = 125.20 +/- 0.11 GeV. Assess the -0.93% deviation and J3 off-diagonal mixing correction delta ~ 0.1 -> m_H -> ~125.32 GeV. Rate peer-review readiness. #SuperGrokTOE #HiggsMass #J3Octonion