Chiral Sum Rules and Their Phenomenology

Details Chiral Sum Rules and Their Phenomenology Chiral Sum Rules and Their Phenomenology

1993-07-13

arxiv.org/abs/hep-ph/9307262v1

Phys.Rev. D49 (1994) 1513-1525

Physics

High Energy Physics

High Energy Physics - Phenomenology

Standard Latex file, 27 pgs (figures not included), UMHEP-389

Scientific paper

10.1103/PhysRevD.49.1513

We present an analysis of four sum rules, each based on chiral symmetry and containing the difference $\rho_{\rm V}(s) - \rho_{\rm A}(s)$ of isovector vector and axialvector spectral functions. Experimental data from tau lepton decay and electron-positron scattering identify the spectral functions over a limited kinematic domain. We summarize the status of the existing database. However, a successful determination of the sum rules requires additional content, in the form of theoretical input. We show how chiral symmetry and the operator product expansion can be used to constrain the spectral functions in the low energy and the high energy limits and proceed to perform a phenomenological test of the sum rules.

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