Abstract
We perform a calculation of the isospin and hypercharge vector-current 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 straight-forward 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 two-loop level, are constructed. Our final results are finite, covariant, and scale-independent. Several applications are described, including a comparison of the two-loop isospin vector spectral function with data and the construction of new chiral sum rules.
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