Third Mixing Angle
نویسنده
چکیده
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 L (0) + L (1). This allows to rely on radiative decays of light mesons (V P γ and P γγ) in order to extract some numerical information of relevance to ChPT: a value for Λ 1 = 0.20 ± 0.04, a quark mass ratio of ≃ 21.2 ± 2.4, and a negligible departure from the Gell-Mann–Okubo mass formula. The mixing angles are θ 8 = −20.40 • ± 0.96 • and θ 0 = −0.05 • ± 0.99 •. We also give the values of all decay constants. It is shown that the common mixing pattern with one mixing angle θ P is actually quite appropriate and algebraically related to the η/η ′ mixing pattern presently preferred by the ChPT community. For instance the traditional θ P is functionally related to the ChPT θ 8 and fulfills θ P ≃ θ 8 /2. The vanishing of θ 0 , 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.
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تاریخ انتشار 1999