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

Key Points

• The aim is to apply Bayesian statistics to analyze decay constants in the framework of chiral perturbation theory.
• Investigated the decay constants of the octet of light pseudoscalar mesons using resummed SU(3) chiral perturbation theory.
• Compared predictions for the decay constant of the eta-meson with various experimental determinations.
• Utilized recent experimental and lattice QCD data to constrain low energy coupling constants L4^r and L5^r.
• The theoretical prediction for the eta-meson decay constant aligns with multiple experimental values.
• Constraints on the low energy coupling constants L4^r and L5^r were successfully extracted from the analysis.
• Higher order corrections to decay constants F_K and F_eta were evaluated based on recent inputs.