Chiral Sum-Rules and Their Phenomenology

JF Donoghue, University of Massachusetts - Amherst
Eugene Golowich, University of Massachusetts - Amherst

Article comments

This is a pre-published version which is collected from arXiv. The published version is at http://prd.aps.org/pdf/PRD/v49/i3/p1513_1.

Abstract

We present an analysis of four sum rules, each based on chiral symmetry and containing the difference ρV(s) − ρA(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.