A sum rule approach to the violation of Dashen's theorem

Details A sum rule approach to the violation of Dashen's theorem A sum rule approach to the violation of Dashen's theorem

1997-01-28

arxiv.org/abs/hep-ph/9701400v2

Nucl.Phys. B504 (1997) 381-414

Physics

High Energy Physics

High Energy Physics - Phenomenology

A few corrections and improvements made, the list of references is more complete

Scientific paper

10.1016/S0550-3213(97)00464-1

A classic sum rule by Das et al. is extended to seven of the low-energy constants $K_i$, introduced by Urech, which parameterize electromagnetic corrections at chiral order $O(e^2p^2)$. Using the spurion formalism, a simple convolution representation is shown to hold and the structure in terms of the chiral renormalization scale, the QCD renormalization scale and the QED gauge parameter is displayed. The role of the resonances is studied as providing rational interpolants to relevant QCD n-point functions in the euclidian domain. A variety of asymptotic constraints must be implemented which have phenomenological consequences. A current assumption concerning the dominance of the lowest-lying resonances is shown clearly to fail in some cases.

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