Gluon condensate in charmonium sum rules for the axial-vector current

2004/07/17 by A. Samsonov, A. V. Samsonov, Samsonov, A.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/0407199

13 pages, 1 figure

arxiv created 2004/07/17 · openalex publication_date 2004/07/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The charmonium sum rules for the axial-vector current are considered. The three-loop perturbative corrections, operators up to 8 dimension and perturbative corrections to the lowest dimension operator are accounted. The contribution of the operators of 6 and 8 dimensions is computed in the framework of factorization hypothesis and instanton model. For the value of gluon condensate the following result is obtained: (0.005+0.001-0.004)GeV⁴ (for the charm quark mass 1.275 GeV).

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