2000/12/18 by Sébastien Descotes–Genon, S. Descotes · 27 citations
Mathematics · Physics and Astronomy · #Constant (computer programming) #High-Energy Particle Collisions Research #Mathematical physics #Mathematics #Meson #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Pseudoscalar #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Scalar (mathematics) #Sum rule in quantum mechanics #hep-ph
paper · pdf · doi:10.1088/1126-6708/2001/03/002
published in Journal of High Energy Physics 2001(03), 002 (Springer Nature) · 58 pages, 18 figures
arxiv created 2000/12/18 · openalex publication_date 2001/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We discuss the role of the Zweig rule violation in the scalar channel for the determination of low-energy constants and condensates arising in the effective chiral Lagrangian of QCD. The analysis of the Goldstone boson masses and decay constants shows that the three-flavor condensate and some low-energy constants are very sensitive to the value of the Zweig Rule violating constant L6. A similar study is performed in the case of the decay constants. A chiral sum rule based on experimental data in the scalar channel is used to constrain L6, indicating a significant decrease between the two- and the three-flavor condensates. The analysis of the scalar form factors of the pion at zero momentum suggests that the pseudoscalar decay constant could also be suppressed from Nf=2 to 3.