CP-Odd Information Flow in H → ZZ* → 4ℓ: Imaginary Spin Correlations and Virtuality-Resolved Tomography

Abstract

CP-Odd Information Flow in H → ZZ* → 4ℓ: Imaginary Spin Correlations and Virtuality-Resolved Tomography We quantify how much CP-odd Higgs information survives compression into spin-correlation moments in H → ZZ* → 4ℓ. In a specified leading-order model, a real ε = a3/a1 deformation changes helicity phases at first order; single-Z marginals, masses, and reflection-even summaries are locally insensitive. Three calibrated imaginary moments retain 96.8% of inclusive angular Fisher information and 85.5% of joint mass–angular information. Four virtuality bins raise the latter fraction to 91.5%, despite their populations having zero linear response. At N = 4500, the three-moment and joint information are 19.54 and 22.86, giving a joint local uncertainty σ(ε) = 0.209. We relate the moments explicitly to established CP-odd angular structures, separate conjugate redundancy from independent measurements, and quantify information lost through mass integration and moment compression. Analytic checks, numerical convergence tests, and pseudo-experiments establish a reproducible baseline for experimental response studies. Companion study: Information Flow in H → ZZ* → 4l: Spin-Qutrit Tomography of a Real CP-Even a2 Deformation, doi:10.5281/zenodo.22943916. This record contains the PDF manuscript with visibly blue, clickable links. 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-odd study, all versions/latest: 10.5281/zenodo.23093129. Companion CP-even study, all versions/latest: 10.5281/zenodo.22943915. Reproduction software. The matching Python package is available as a separate Software record: CP-odd reproduction software — 10.5281/zenodo.23108640. 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).