One-Loop Perturbative Matching for Heavy Quark Masses in Lattice QCD — E8 Intelligence Research

FINDING: One-loop perturbative matching for heavy quark masses in lattice QCD using Fermilab method with three-flavor staggered light quarks. MATH: Heavy-strange meson masses combined with automated one-loop lattice perturbation theory yield quark mass values; key scales: lattice spacing \(a\), heavy quark mass \(m_Q\), strong coupling \(α_s\); matching condition: \(m_QMS̄(μ) = Z_m(μ a, m_Q a) \, m_Qˡᵃᵗᵗⁱᶜᵉ\) where \(Z_m\) computed to one-loop in perturbation theory. CONNECTION: Lattice spacing \(a\) discretizes spacetime, linking to crystallographic symmetries (hypercubic lattice, point group \(O_h\)); no explicit golden ratio or base-60 ratios appear; the perturbative matching involves root systems indirectly via gauge group SU(3) (root system \(A_2\)). DEPTH: 4 — Solid technical advance in precision heavy quark physics, but no new geometric or harmonic constants; routine perturbative QCD with lattice regularization. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com