Leading logarithms in the anomalous sector of two-flavour QCD

2012/01/31 by Johan Bijnens, Karol Kampf, Stefan Lanz · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Computer science #Constant (computer programming) #Flavour #Geology #Logarithm #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear system #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Series (stratigraphy) #Sigma #Sigma model #Work (physics) #hep-ph #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2012.02.014

published as Nucl.Phys.B860:245-266,2012 · 27 pages, 8 figures, 7 tables, published version

openalex publication_date 2012/02/28 · arxiv created 2012/03/20 · arxiv updated 2012/03/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We add the Wess-Zumino-Witten term to the N=3 massive nonlinear sigma model and study the leading logarithms in the anomalous sector. We obtain the leading logarithms to six loops for π⁰ --> γ^*γ^* and to five loops for γ^*πππ. In addition we extend the earlier work on the mass and decay constant to six loops and the vector form factor to five loops. We present numerical result for the anomalous processes and the vector form factor. In all cases the series are found to converge rapidly.

Citations

• Chiral Logarithms in the Massless Limit Tamed
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• New Measurement of theπ0Radiative Decay Width
• New features of FORM
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• Global aspects of current algebra
• Chiral perturbation theory to one loop
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• Anomalous Ward Identities in Spinor Field Theories
• Review of Particle Physics
• Measurement of the gamma gamma* --> pi0 transition form factor
• Axial-Vector Vertex in Spinor Electrodynamics
• Structure of Phenomenological Lagrangians. I
• Electromagnetic corrections to gamma pi(+) -> pi(0) pi(+)
• Nonlinear Realizations of Chiral Symmetry
• Phenomenological Lagrangians

Cited by

• Extracting the chiral anomaly from e⁺e^-→ 3π