Two-point function of strangeness-carrying vector-currents in two-loop Chiral Perturbation Theory

Details Two-point function of strangeness-carrying vector-currents in two-loop Chiral Perturbation Theory Two-point function of strangeness-carrying vector-currents in two-loop Chiral Perturbation Theory

1999-07-28

arxiv.org/abs/hep-ph/9907539v2

Phys.Rev. D61 (2000) 114025

Physics

High Energy Physics

High Energy Physics - Phenomenology

24 pages, revtex, 4 figures, 2 tables, revised version, one ref. added

Scientific paper

10.1103/PhysRevD.61.114025

We calculate the correlator between two external vector-currents having the quantum-numbers of a charged kaon. We give the renormalized expression to two loops in standard chiral perturbation theory in the isospin limit, which, as a physical result, is finite and scale-independent. Applications include a low energy theorem, valid at two loop order, of a flavor breaking combination of vector current correlators as well as a determination of the phenomenologically relevant finite $O(p^6)$-counterterm combination $Q_V$ by means of inverse moment finite energy sum rules. This determination is less sensitive to isospin-breaking effects than previous attempts.

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