Isovector spectral function and Kl3 decays

Paul Langacker

Research output: Contribution to journalArticlepeer-review


An inequality relating the parameter λ+ of Kl3 decays to the spectral function of the isovector electromagnetic current is derived, assuming only Weinberg's first spectral-function sum rule. It is shown that a large value for λ+ (e.g., λ+=0.045) is not compatible with ρ saturation of the isovector spectral function. Since the principal tests of the sum rule have relied on the additional assumption that such resonance saturations are possible, some doubt is cast on the validity, or at least on the previous applications, of the sum rule. Implications for the Weinberg mass relations, c-number Schwinger terms, and the e+e - annihilation cross section are discussed.

Original languageEnglish (US)
Pages (from-to)710-714
Number of pages5
JournalPhysical Review D
Issue number3
StatePublished - 1972

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)


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