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Jaroslav Říha

Publications and source records attributed to Jaroslav Říha.

3 recordsLinked to original sources

Subthreshold parameters of $ππ$ scattering revisited

Using a variety of experimental results and lattice QCD calculations of $ππ$ scattering lengths, while employing dispersive representations of the amplitude based on Roy equations, we compute the subthreshold parameters of this process. We use Monte Carlo sampling to numerically model the probability distribution of the results based on all uncertainties in the inputs. We also investigate the dependence of the results on a theoretical correlation between the $ππ$ scattering lengths $a^0_0$ and $a^2_0$, which was previously established in the framework of two-flavor chiral perturbation theory.

hep-ph↗

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

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 $η$-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 $F_η$, are extracted from the most recent experimental and lattice QCD inputs for the values of the decay constants.

hep-ph↗

Application of Bayesian statistics to $η$-meson decay constant in $χ$PT

The decay constant of the $η$-meson in the framework of 'resummed' chiral perturbation theory is discussed. A theoretical prediction is compared to the available determinations. Compatibility of these determinations with the latest fits of the SU(3) low energy coupling constants is investigated. Preliminary results for the obtained constraints on the low energy coupling constants $L^r_5$ and $L^r_4$, using Bayesian statistical approach, are presented.

hep-ph↗