2014/11/17 by C. A. Dominguez, C. A. Domínguez, L. A. Hernández +6
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph
paper · pdf · doi:10.48550/arxiv.1411.4500
Revised version with improved error analysis, more detailed discussions, and additional references
openalex publication_date 2014/11/17 · arxiv created 2015/06/22 · arxiv updated 2015/06/23 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28
The gluon condensate, ⟨ \fracαsπ G2 ⟩, i.e. the leading order power correction in the operator product expansion of current correlators in QCD at short distances, is determined from e+ e- annihilation data in the charm-quark region. This determination is based on finite energy QCD sum rules, weighted by a suitable integration kernel to (i) account for potential quark-hadron duality violations, (ii) enhance the contribution of the well known first two narrow resonances, the J/ψ and the ψ(2S), while quenching substantially the data region beyond, and (iii) reinforce the role of the gluon condensate in the sum rules. By using a kernel exhibiting a singularity at the origin, the gluon condensate enters the Cauchy residue at the pole through the low energy QCD expansion of the vector current correlator. These features allow for a reasonably precise determination of the condensate, i.e. ⟨ \fracαsπ G2 ⟩ =0.037 ± 0.015 GeV4.