One-Loop Lattice QCD Extraction of Heavy-Quark Masses via Automated Perturbative Matching — E8 Intelligence Research

FINDING: Fermilab method extracts heavy-quark masses via one-loop lattice perturbation theory, combining heavy-strange meson lattice data with automated perturbative matching to control scheme dependence. | MATH: Heavy-quark mass \( m_Q \) from meson mass \( MH_s = m_Q + m̄_s + Ebind + δ₁₋ₗₒₒₚ \); one-loop lattice perturbation theory yields scheme-dependent correction \( δ₁₋ₗₒₒₚ = α_s × (C_F/4π) × [logs + constants] \), with \( C_F = 4/3 \) (SU(3) Casimir); lattice spacing \( a \) enters via \( am_Q \) and improvement coefficients \( c_E, c_B \) (clover terms); mass renormalization \( m_QMS̄(μ) = Z_m(μ a) \, m_Qˡᵃᵗᵗⁱᶜᵉ \), where \( Z_m = 1 + α_s \, z_m⁽¹⁾ + O(α_s^2) \). | CONNECTION: Lattice QCD is a hypercubic crystallographic lattice — symmetry group is the hyperoctahedral group \( B_4 \) (order 384), a root system of type \( D_4 \) (the 24-cell, related to qu Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com