Eur. Phys. J. C (2018) 78: 264
https://doi.org/10.1140/epjc/s10052-018-5668-5

Regular Article - Theoretical Physics

Constraints on low energy QCD parameters from and scattering

Institute of Particle and Nuclear Physics, Faculty of Mathematics and Physics, Charles University, 18000, Prague, Czech Republic

^* e-mail: kolesar@ipnp.troja.mff.cuni.cz

Received: 9 November 2017
Accepted: 22 February 2018
Published online: 26 March 2018

Abstract

The decays are a valuable source of information on low energy QCD. Yet they were not used for an extraction of the three flavor chiral symmetry breaking order parameters until now. We use a Bayesian approach in the framework of resummed chiral perturbation theory to obtain constraints on the quark condensate and pseudoscalar decay constant in the chiral limit. We compare our results with recent CHPT and lattice QCD fits and find some tension, as the data seem to prefer a larger ratio of the chiral order parameters. The results also disfavor a very large value of the pseudoscalar decay constant in the chiral limit, which was found by some recent work. In addition, we present results of a combined analysis including decays and scattering and though the picture does not changed appreciably, we find some tension between the data we use. We also try to extract information on the mass difference of the light quarks, but the uncertainties prove to be large.