26–30 Aug 2024
Ruhr University Bochum, Germany
Europe/Berlin timezone

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

26 Aug 2024, 18:10
20m
Saal 1 (Convention Centre)

Saal 1

Convention Centre

Working group talk WG1: Goldstone-Boson Dynamics WG1 parallel session

Speaker

Jaroslav Říha (Institute of Particle and Nuclear Physics, Faculty of Mathematics and Physics, Charles University, Prague)

Description

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.

Primary authors

Jaroslav Říha (Institute of Particle and Nuclear Physics, Faculty of Mathematics and Physics, Charles University, Prague) Dr Marián Kolesár (Institute of Particle and Nuclear Physics, Faculty of Mathematics and Physics, Charles University, Prague)

Presentation materials