Mesonic Low-Energy Constants
By J. Bijnens, G. Ecker. 2014
193 citations recorded by the source corpus.
We review the status of the coupling constants of chiral Lagrangians in the meson sector, the so-called low-energy constants (LECs). We emphasize the chiral SU(2) and SU(3) Lagrangians for the strong interactions of light mesons and discuss the theoretical and experimental input for determining the corresponding LECs. In the two-flavor sector, we review the knowledge of the LECs from both continuum fits and lattice QCD analyses. For chiral SU(3), next-to-next-to-leading-order (NNLO) effects play a much greater role. Our main new results are fits of the LECs Li at both next-to-leading order (NLO) and NNLO, making extensive use of the available knowledge of NNLO LECs. We compare our results with available lattice determinations. We then discuss resonance saturation of LECs and the convergence of chiral SU(3) to NNLO. Finally, we review the status of predictions for the LECs of chiral Lagrangians with dynamical photons and leptons.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/0f937d144a4933c5df8ca9ff665354bcbd3a720f
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In Nuclear and High Energy Physics
- Giacomo Cacciapaglia
- M. Hoferichter
- Claudio Pica
- P. Stoffer
- G. Colangelo
- M. Procura
- Francesco Sannino
- G. G. Cortona
Citations in the corpus
- FLAG Review 2019 (2019, unknown): “[278].”
- Dispersion relation for hadronic light-by-light scattering: two-pion contributions (2017, background): “In ChPT the value of l̄6 − l̄5 can be empirically understood in terms of resonance saturation, explicitly one has [142, 151, 152] l̄6 − l̄5 ∣∣ sat = 48π(2) F 2 A M2 A ∼ 24π(2) F 2 π M2 ρ = 3.”
- The QCD axion, precisely (2015, methodology): “We thus only need the values of the 3-flavor couplings L7 and L r 8, which can be extracted from chiral fits [37] and lattice QCD [38], we refer to appendix A for more details on the values used.”
- Fundamental composite dynamics: A review (2020, background): “For QCD the NLO LECs are known [181] and most of them are of the order O(10−4), interestingly this is an order of magnitude smaller than naı̈vely expected.”