Journal or Book Title
NUCLEAR PHYSICS B
We perform a calculation of the isospin and hypercharge vector-current propagators (ΔV33μν(q2) and ΔV88μν(q2)) 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 (q6) 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.
Golowich, E and KAMBOR, J, "2-LOOP ANALYSIS OF VECTOR-CURRENT PROPAGATORS IN CHIRAL PERTURBATION-THEORY" (1995). NUCLEAR PHYSICS B. 484.