English

Mesonic low-energy constants

High Energy Physics - Phenomenology 2014-12-03 v2 High Energy Physics - Lattice

Abstract

We review the status of the coupling constants of chiral Lagrangians in the meson sector, the so-called low-energy constants (LECs). Special emphasis is put on the chiral SU(2)SU(2) and SU(3)SU(3) Lagrangians for the strong interactions of light mesons. The theoretical and experimental input for determining the corresponding LECs is discussed. In the two-flavour sector, we review the knowledge of the O(p4)O(p^4) LECs from both continuum fits and lattice QCD analyses. For chiral SU(3)SU(3), NNLO effects play a much bigger role. Our main new results are fits of the LECs LiL_i both at NLO and NNLO, making extensive use of the available knowledge of NNLO LECs. We compare our results with available lattice determinations. Resonance saturation of LECs and the convergence of chiral SU(3)SU(3) to NNLO are discussed. We also review the status of predictions for the LECs of chiral Lagrangians with dynamical photons and leptons.

Keywords

Cite

@article{arxiv.1405.6488,
  title  = {Mesonic low-energy constants},
  author = {Johan Bijnens and Gerhard Ecker},
  journal= {arXiv preprint arXiv:1405.6488},
  year   = {2014}
}

Comments

36 pages, prepared for Annual Review of Nuclear and Particle Science, typos corrected, reference added, results unchanged

R2 v1 2026-06-22T04:23:07.699Z