2001/12/31 by M. Napsuciale, Mauro Napsuciale, S. Rodríguez +1 · 3 citations
Physics and Astronomy · #Context (archaeology) #Isoscalar #Mathematical physics #Meson #Neutrino Physics Research #Particle physics #Particle physics theoretical and experimental studies #Physics #Pseudoscalar #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.1103/physrevd.65.096013
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 65(9) (American Physical Society) · Final version to appear in Phys. Rev. D. Minor changes, three references added
arxiv created 2002/04/12 · openalex publication_date 2002/05/17 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Using a flavor basis we relate flavor axial anomalies to the mass matrix of pseudoscalar isoscalar fields in the context of a linear sigma model which includes UA(1) symmetry breaking. We incorporate additional contributions to these anomalies due to external electromagnetic fields invoking 't Hooft's argument on anomaly matching and work out the predictions of this formalism for \stackrel\ensuremath→\ensuremathη\ensuremathγ\ensuremathγ and \ensuremathη^\ensuremath'\ensuremath→\ensuremathγ\ensuremathγ decays. We show that the only effect of the UA(1) anomaly in these processes is in the formation of the \ensuremathη and \ensuremathη^\ensuremath' systems. From experimental data on these decays we extract the pseudoscalar mixing angle in the flavor basis as \ensuremathφP\ensuremath∈[38.4\ifmmode^∘\else\textdegree\fi,41.0\ifmmode^∘\else\textdegree\fi].