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 \\( M_{H_s} = m_Q + \\bar{m}_s + E_{\\text{bind}} + \\delta_{\\text{1-loop}} \\); one-loop lattice perturbation theory yields scheme-dependent correction \\( \\delta_{\\text{1-loop}} = \\alpha_s \\times (C_F/4\\pi) \\times [\\text{logs} + \\text{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_Q^{\\overline{\\text{MS}}}(\\mu) = Z_m(\\mu a) \\, m_Q^{\\text{lattice}} \\), where \\( Z_m = 1 + \\alpha_s \\, z_m^{(1)} + O(\\alpha_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