Two-Loop Analysis of Vector Current Propagators in Chiral Perturbation Theory

Details Two-Loop Analysis of Vector Current Propagators in Chiral Perturbation Theory Two-Loop Analysis of Vector Current Propagators in Chiral Perturbation Theory

1995-01-17

arxiv.org/abs/hep-ph/9501318v3

Nucl.Phys. B447 (1995) 373-404

Physics

High Energy Physics

High Energy Physics - Phenomenology

To appear in Nucl. Phys. B (Changes in Sects. 4,8)

Scientific paper

10.1016/0550-3213(95)00234-J

We perform a calculation of the isospin and hypercharge vector current propagators ($\Delta_{V33}^{\mu\nu}(q^2)$ and $\Delta_{V88}^{\mu\nu}(q^2)$) 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 ${\cal O}(q^6)$ 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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