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arXiv · 2301.08027

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

Marián Kolesár·Jaroslav Říha
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Abstract

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.

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Marián Kolesár, Jaroslav Říha. 2023-01-19. Application of Bayesian statistics to the sector of decay constants in three-flavour ChPT. https://arxiv.org/abs/2301.08027

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