# 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{sup 6})-counterterm combination Q{sub V} by means of inverse moment finite energy sum rules. This determination is less sensitive to isospin-breaking effects than previous attempts. (c) 2000 The American Physical Society.

- Authors:

- Physics Department, University of Washington, Seattle, Washington 98195-1560 (United States)
- (Switzerland)
- Institute for Theoretical Physics, University of Zuerich, 8057 Zuerich, (Switzerland)

- Publication Date:

- OSTI Identifier:
- 20216472

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review. D, Particles Fields

- Additional Journal Information:
- Journal Volume: 61; Journal Issue: 11; Other Information: PBD: 1 Jun 2000; Journal ID: ISSN 0556-2821

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QUANTUM CHROMODYNAMICS; CORRELATION FUNCTIONS; CHIRAL SYMMETRY; STRANGENESS; PERTURBATION THEORY; RENORMALIZATION; ISOSPIN; FLAVOR MODEL; THEORETICAL DATA

### Citation Formats

```
Duerr, Stephan, Particle Theory Group, Paul Scherrer Institute, 5232 Villigen,, and Kambor, Joachim.
```*Two-point function of strangeness-carrying vector currents in two-loop chiral perturbation theory*. United States: N. p., 2000.
Web. doi:10.1103/PhysRevD.61.114025.

```
Duerr, Stephan, Particle Theory Group, Paul Scherrer Institute, 5232 Villigen,, & Kambor, Joachim.
```*Two-point function of strangeness-carrying vector currents in two-loop chiral perturbation theory*. United States. doi:10.1103/PhysRevD.61.114025.

```
Duerr, Stephan, Particle Theory Group, Paul Scherrer Institute, 5232 Villigen,, and Kambor, Joachim. Thu .
"Two-point function of strangeness-carrying vector currents in two-loop chiral perturbation theory". United States. doi:10.1103/PhysRevD.61.114025.
```

```
@article{osti_20216472,
```

title = {Two-point function of strangeness-carrying vector currents in two-loop chiral perturbation theory},

author = {Duerr, Stephan and Particle Theory Group, Paul Scherrer Institute, 5232 Villigen, and Kambor, Joachim},

abstractNote = {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{sup 6})-counterterm combination Q{sub V} by means of inverse moment finite energy sum rules. This determination is less sensitive to isospin-breaking effects than previous attempts. (c) 2000 The American Physical Society.},

doi = {10.1103/PhysRevD.61.114025},

journal = {Physical Review. D, Particles Fields},

issn = {0556-2821},

number = 11,

volume = 61,

place = {United States},

year = {2000},

month = {6}

}

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