Tensor meson exchange at low energies

TL;DR

This paper analyzes tensor meson exchange contributions to low-energy constants in chiral perturbation theory, demonstrating consistency across different models and discussing the role of axial-vector mesons with odd C-parity.

Contribution

It completes the analysis of meson resonance contributions to chiral low-energy constants by including all relevant quark-antiquark bound states with orbital angular momentum ≤ 1 and clarifies model equivalences.

Findings

Different tensor meson Lagrangians yield the same results after applying QCD constraints.

All relevant meson states with orbital angular momentum ≤ 1 are included in the analysis.

The relevance of axial-vector mesons with odd C-parity is discussed.

Abstract

We complete the analysis of meson resonance contributions to chiral low-energy constants of O(p^4) by including all quark-antiquark bound states with orbital angular momentum less or equal to one. Different tensor meson Lagrangians used in previous work are shown to produce the same final results for the low-energy constants once QCD short-distance constraints are properly implemented. We also discuss the possible relevance of axial-vector mesons with odd C-parity.