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The SVZ-Expansion and Beyond

2005/08/24 by Stéphan Narison, Stephan Narison, Narison, Stephan · 1 citation
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Experiment (hep-ex) #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #High-Energy Particle Collisions Research #Nuclear Theory (nucl-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ex #hep-lat #hep-ph #hep-th #nucl-th

paper · pdf · doi:10.48550/arxiv.hep-ph/0508259

7 pages in 2-column format, 1 figure, 4 tables, Talk given at the Workshop Understanding Confinement (Ringberg Castle, 16-21th May 2005) and at QCD 05 International Conference (Montpellier, 4-8th July 2005)

arxiv created 2005/08/24 · openalex publication_date 2005/08/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

I discuss the standard SVZ-expansion of the QCD two-point correlators in terms of the QCD vacuum condensates and beyond it due to a new unflavoured 1/Q2-term (tachyonic gluon mass squared λ2) which modelizes the effects of uncalculated higher order perturbative terms. The approach is confronted with low-energy and lattice data. One can notice that, in the different examples studied here, high-dimension condensates are expected to deviate largely from their vacuum saturation (large Nc) values, while the new 1/Q2-term due to λ2 solves the hadronic mass scale hierarchy-puzzle encountered in the early SVZ-sum rule analysis and improves the low-energy phenomenology. From tau-decay data, one can extract the running strange quark mass ms(2 GeV)=(93+29-32) MeV and a more accurate value of the QCD coupling αs(MZ)=0.117+- 0.002.

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