Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1995-09-15
Phys.Rev.D53:2651-2657,1996
Physics
High Energy Physics
High Energy Physics - Phenomenology
Only changes: typo in Eq. (1) corrected and Ref. 15 expanded
Scientific paper
10.1103/PhysRevD.53.2651
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.
Golowich Eugene
Kambor Joachim
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