2025/05/15 by Chishtie, Farrukh A.
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Experiment (hep-ex) #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2505.09947
We introduce Scale Factorized-Quantum Field Theory (SF-QFT), an innovative framework that performs path-integral factorization of ultraviolet (UV) and infrared (IR) momentum modes at a physical scale Q^* before perturbative expansion through Effective Dynamical Renormalization (EDR) with Principle of Observable Effective Matching (POEM) constraints. This approach yields completely scale and scheme invariant observables whose Wilson coefficients Ci(Q) and coupling aeff(Q) are fixed by matching to the experiment. Because the two-loop β-function is universal in massless QCD and QED, aeff(Q) evolves with scheme-independent equations, with higher-order β-coefficients absorbed into the Ci through EDR implementation. Applying SF-QFT to the inclusive ratio Re+e- gives RSF-QFT(31.6 GeV) = 1.05262 ± 0.0005, which is in excellent agreement with the experimental results (Rexp(31.6 GeV)= 1.0527 ± 0.005) while requiring calculation that are orders of magnitude lower than those of conventional four-loop MS approaches. For QED, the same formalism integrates out high-energy modes above Q^*, producing scheme-independent predictions for the electron anomalous magnetic moment with unprecedented precision (aetheory = 0.001 159 652 180 61(76)), differing from the experiment by only -1.2(81) × 10-13 representing an excellent 0.15σ agreement. The framework enables the self-consistent extraction of the natural electromagnetic coupling αeff-1(me) = 137.036005301 at the electron mass scale.