Factorial growth in perturbation theory, power corrections: precise extraction of quark masses and α_s

2025/05/26 by Andreas S. Kronfeld, Kronfeld, Andreas S.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2505.20531

openalex publication_date 2025/05/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

These proceedings summarize a newly found connection between the factorial growth of coefficients in perturbative QCD and power corrections to the perturbation series, discussed in refs. [1-4]. The improved convergence is shown for three quantities four which four terms in the series are available: the static energy, the quark pole mass, and the polarized Bjorken sum rule. Prospects for determinations of α_s with controlled truncation uncertainties are discussed, as was found earlier in quark-mass determinations [3,5].

Citations

• Strong coupling in (2+1+1)-flavor QCD
• More on minimal renormalon subtraction
• Adler function, Bjorken Sum Rule and Crewther-Broadhurst-Kataev relation with generic fermion representations at order O(α⁴_s)
• Review of Particle Physics
• Potential NRQCD: an effective theory for heavy quarkonium
• The renormalization group: Critical phenomena and the Kondo problem
• Anharmonic Oscillator. II. A Study of Perturbation Theory in Large Order

Related

• Resummation, Power Corrections and Prediction in Perturbative QCD
• The static quark self-energy at O(α²⁰) in perturbation theory
• Constrains on treating linear part as perturbation in a QCD Potential Model
• Improving QCD Perturbative Predictions and Transverse Momentum Effects
• Matching Perturbative and Non-Perturbative Physics With Power Accuracy in Heavy-Quark Effective Theory