Information Flow in H → ZZ* → 4l: Spin-Qutrit Tomography of a Real CP-Even a2 Deformation

Information Flow in H → ZZ* → 4l: Spin-Qutrit Tomography of a Real CP-Even a2 Deformation We quantify information on a real CP-even a2/a1 deformation in a specified leading-order H → ZZ* → 4ℓ model. The scalar spin-qutrit family obeys the kinematic-mixture identity D = −C₂,₂,₂,−₂² Var_q(β) ≤ 0 and a physical chord bound. At N = 4500, the two real ATLAS entanglement-sensitive coefficients carry Fisher information 3.22, single-Z polarization moments 70.30, the specified pair moments 5.43, and the inclusive angular likelihood 79.72. Bin populations carry 105.11; the continuous mass spectrum and conditional angles contribute 135.16 and 71.66, yielding joint information 206.82 and σ(r) = 0.070. Thus mass and single-boson polarization measurements carry most of the recoverable information for this coupling direction. We specify the likelihood, moments, binning, nuisance functions, and numerical integration explicitly. These signal-only results are not detector-level projections or statements about arbitrary CP-even operators or nonlinear entanglement observables. Version 2.0 — expanded analysis. Adds complete derivations of the coefficient geometry, score compression, information decomposition, bin populations, nuisance profiling, and finite-coupling interpretation, with checked attribution and a historical numerical-changes appendix. The corrected headline benchmarks are unchanged from the preceding October 2 baseline. Supersedes 10.5281/zenodo.22943916. ECOF research-program foundation This study forms part of Kate Lynn Blatt’s Energy-Consciousness Observer Framework (ECOF) research program. Foundation reference: Blatt, K. L. (2025), The Energy Consciousness Observer Framework: Foundations of Observer-Coupled Physics — Toward a Unified Field for General Relativity’s Mass–Energy Corrections.Foundation, all versions/latest: 10.5281/zenodo.16944711.Specific foundation version: 10.5281/zenodo.16944712.This reference records research-program provenance; the calculations use the explicit HZZ model and statistical assumptions specified in the manuscript. Persistent paper links This CP-even study, all versions/latest: 10.5281/zenodo.22943915.Companion CP-odd study, all versions/latest: 10.5281/zenodo.23093129. Reproduction software. The matching Python package is available as a separate Software record: CP-even reproduction software — 10.5281/zenodo.23112991. The package reproduces the calculations within this paper’s stated scope. Related studies in the ECOF research program. CP-even information flow · CP-odd information flow · Graph transfer and ultraviolet suppression · Higgs weight concentration (Higgs code).