Application of Bayesian statistics to the sector of decay constants in three-flavour ChPT

Autor: Kolesár, Marián, Říha, Jaroslav
Rok vydání: 2023
Předmět:
Zdroj: Eur.Phys.J.Plus 139 (2024) 1, 31
Druh dokumentu: Working Paper
Popis: The sector of decay constants of the octet of light pseudoscalar mesons in the framework of 'resummed' $SU(3)$ chiral perturbation theory is investigated. A theoretical prediction for the decay constant of $\eta$-meson is compared to a range of available determinations. Compatibility of these determinations with the latest fits of the $SU(3)$ low energy coupling constants is discussed. Using a Bayesian statistical approach, constraints on the low energy coupling constants $L_4^r$ and $L_5^r$, as well as higher order remainders to the decay constants $F_K$ and $F_\eta$, are extracted from the most recent experimental and lattice QCD inputs for the values of the decay constants.
Comment: 13 pages, 11 figures, published version, significantly updated
Databáze: arXiv