Abstract
The low-energy theorem is derived which relates the invariant vertex function of KL→γγ to the corresponding function of 〈2γ|[Q56, Lw]|0〉, where it is assumed that Schwinger and seagull terms, if present, cancel against each other. A chiral Lagrangian model is studied which satisfies PCAC and which has an octet weak Lagrangian with [Q56, Lw]=0. In this model, the effective KL→γγ coupling constant produced by certain baryon loop graphs is found to remain finite as the momentum of the kaon goes to zero. This contradicts the low-energy theorem and indicates the failure of seagull and Schwinger terms to cancel. The effective coupling produced by this anomaly is estimated to give a rate roughly comparable to the experimental one. Implications for mesonic effective-Lagrangian studies of K decays are discussed.
Published Version
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