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arXiv · hep-ph/9509304

Inverse-Moment Chiral Sum Rules

Eugene Golowich·Joachim Kambor
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Abstract

A general class of inverse-moment sum rules was previously derived by the authors in a chiral perturbation theory (ChPT) study at two-loop order of the isospin and hypercharge vector-current propagators. Here, we address the evaluation of the inverse-moment sum rules in terms of existing data and theoretical constraints. Two kinds of sum rules are seen to occur, those which contain as-yet undetermined ${\cal O}(q^6)$ counterterms and those free of such quantities. We use the former to obtain phenomenological evaluations of two ${\cal O}(q^6)$ counterterms. Light is shed on the important but difficult issue regarding contributions of higher orders in the ChPT expansion.

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Eugene Golowich, Joachim Kambor. 1995-09-29. Inverse-Moment Chiral Sum Rules. https://doi.org/10.1103/physrevd.53.2651

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