Single‑Anchor Phenomenology of Standard‑Model Running Masses with Out‑of‑Sample Checks
Recognition Science & Recognition Physics Institute, Austin, Texas, USA
Summary
We report a parameter‑free regularity for Standard‑Model running masses at a universal anchor \(\mu_\star\), yielding a closed‑form expression for integrated residues with out‑of‑sample verification. The protocol uses conventional \(\overline{\mathrm{MS}}\) kernels and a non‑circular audit, listing explicit falsifiers and artifacts for reruns.
Abstract
We report a single‑scale regularity in Standard‑Model running masses. Using conventional \(\overline{\mathrm{MS}}\) kernels (QCD 4L, QED 2L) and a non‑circular audit, the integrated residue at a universal anchor \(\mu_\star=182.201\,\mathrm{GeV}\) collapses to a closed form \(f_i=\lambda^{-1}\ln(1+Z_i/\kappa)\) with no fitted parameters, where \(Z_i\in\mathbb Z\) is fixed by \((Q_i,\mathrm{sector})\). Calibration uses a species‑independent PMS/BLM stationarity to determine \((\mu_\star,\lambda)\) and a small‑\(Z\) slope to set \(\kappa\). Holding out all species beyond \((e,\mu)\), we verify the equality to \(10^{-6}\) for quarks and charged leptons; equal‑\(Z\) families are degenerate at \(\mu_\star\). Policy/loop/scheme variants shift families coherently and stay within the quoted tolerance. We list concrete falsifiers and provide CSV/CI artifacts for re‑runs.