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

Abstract

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.

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

References in corpus (3)

• Two-point Functions at Two Loops in Three Flavour Chiral Perturbation Theory
• Strange-quark mass from combined e+e- and tau-decay data:test of the isospin symmetry and implications on epsilon'/εand m_{u,d}
• The Strange Quark Mass From Finite Energy Sum Rules

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