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Origin of the Weak-Interaction Angle. II

N. Cabibbo*

L. Maiani

  • Istituto di Fisica dell'Università, Roma, Italy and Istituto Nazionale di Fisica Nucleare, Sezione di Roma, Roma, Italy

  • Laboratori di Fisica, Istituto Superiore di Sanità, Roma, Italy and Istituto Nazionale di Fisica Nucleare, Sottosezione Sanità, Roma, Italy

  • *Research sponsored in part by the Air Force Office of Scientific Research, through the European Office of Aerospace Research, OAR, U. S. Air Force, under Contract No. F/61/052 67 C 0084.

Phys. Rev. D 1, 707 – Published 15 January, 1970

DOI: https://doi.org/10.1103/PhysRevD.1.707

Abstract

We present a theory of the origin of the weak-interaction angle θ, based on a self-consistency condition linking weak, strong, and electromagnetic symmetry-breaking effects. The value of θ is related to the observed pattern of breaking of SU(3)SU(3), and depends upon the value of a new parameter ξ, which gives the strength of the weak corrections to strong processes. A characteristic result of the theory is the prediction of a nonelectromagnetic isospin breaking. This solves the η3π puzzle and accounts for the observed deviation from the Dashen sum rule: mK+2mK02=mπ+2mπ02. Although we are not able to give a theoretical evaluation of ξ in a realistic model of weak interactions, a phenomenological determination of ξ is proposed, based on the observed isospin-breaking mass splittings among pseudoscalar mesons. In this way we get the prediction θ0.25, which is in good agreement with the experimental value.

References (26)

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