1 LPNHE des Universités Paris VI et VII-IN2P3, Paris,
2 Stanford Linear Accelerator Center, Stanford University, Stanford CA 94309, USA
Received: 20 June 2000 / Published online: 23 October 2000 - © Springer-Verlag 2000
We show that the Hidden Local Symmetry Model, supplemented with well-known procedures for breaking flavor SU(3) and nonet symmetry, provides all the information contained in the standard Chiral Perturbation Theory (ChPT) Lagrangian . This allows to rely on radiative decays of light mesons ( and ) in order to extract some numerical information of relevance to ChPT: a value for , a quark mass ratio of , and a negligible departure from the Gell-Mann-Okubo mass formula. The mixing angles are and . We also give the values of all decay constants. It is shown that the common mixing pattern with one mixing angle is actually quite appropriate and algebraically related to the mixing pattern presently preferred by the ChPT community. For instance the traditional is functionally related to the ChPT and fulfills . The vanishing of , supported by all data on radiative decays, gives a novel relation between mixing angles and the violation of nonet symmetry in the pseudoscalar sector. Finally, it is shown that the interplay of nonet symmetry breaking through U(3) SU(3) U(1) satisfies all requirements of the physics of radiative decays without any need for additional glueballs.
Copyright Società Italiana di Fisica, Springer-Verlag 2000