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

FINDING: Fermilab method extracts heavy-quark masses via one-loop lattice perturbation theory, combining lattice QCD with automated perturbative matching to control scheme dependence. | MATH: Heavy-quark mass \( m_Q \) from lattice-determined heavy-strange meson mass \( M_{H_s} \) via \( m_Q = M_{H_s} - \bar{\Lambda} + \delta m_{\text{1-loop}} \); one-loop matching coefficient \( C_1(\mu) \) with renormalization scale \( \mu \), scheme dependence enters through \( \alpha_s(\mu) \) and lattice spacing \( a \) via \( a^{-1} \) setting. Key constants: \( \alpha_s(M_Z) \approx 0.118 \), lattice spacing \( a \approx 0.09–0.12 \) fm. | CONNECTION: Lattice QCD is a discrete hypercubic lattice — a crystallographic structure with cubic symmetry (space group \( Pm\bar{3}m \)), whose Brillouin zone and root system \( B_3 \) (or \( A_3 \) for staggered fermions) encode the discretized Dirac operator. The one-loop perturbative correction involves sums over lattice momenta that respect this cubic sy Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com