Twoloop analysis of vectorcurrent propagators in chiral perturbation theory
Abstract
We perform a calculation of the isospin and hypercharge vectorcurrent propagators ( Δ_{V33}^{μν}( q^{2}) and Δ_{V88}^{μν}( q^{2})) to two loops in chiral perturbation theory. The analysis is carried out with straightforward Feynman diagram methods by making appropriate use of external vector sources. Counterterms from the O(q ^{6}) chiral lagrangian, required to absorb divergences and scale dependence encountered at the twoloop level, are constructed. Our final results are finite, covariant, and scaleindependent. Several applications are described, including a comparison of the twoloop isospin vector spectral function with data and the construction of new chiral sum rules.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1995
 DOI:
 10.1016/05503213(95)00234J
 arXiv:
 arXiv:hepph/9501318
 Bibcode:
 1995NuPhB.447..373G
 Keywords:

 High Energy Physics  Phenomenology
 EPrint:
 To appear in Nucl. Phys. B (Changes in Sects. 4,8)