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Inverse-moment chiral sum rules

Journal Article · · Physical Review, D
 [1];  [2]
  1. Department of Physics and Astronomy, University of Massachusetts, Amherst, Massachusetts 01003 (United States)
  2. Division de Physique Theorique, Institut de Physique Nucleaire, F-91406 Orsay Cedex (France)
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 {ital O}({ital q}{sup 6}) counterterms and those free of such quantities. We use the former to obtain phenomenological evaluations of two {ital O}({ital q}{sup 6}) counterterms. Light is shed on the important but difficult issue regarding contributions of higher orders in the ChPT expansion. {copyright} {ital 1996 The American Physical Society.}
OSTI ID:
279521
Journal Information:
Physical Review, D, Journal Name: Physical Review, D Journal Issue: 5 Vol. 53; ISSN PRVDAQ; ISSN 0556-2821
Country of Publication:
United States
Language:
English

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